| 1 |
Author(s):
Edike Nnamdi, Agbedeyi Odimientimi Desmond.
Page No : 1-10
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Monitoring the Reproduction Number and Stringency Index of Covid-19 Pandemic in Nigeria.
Abstract
In order to track the Covid-19 pandemic's reproduction number and stringency index in Nigeria, this research presents the implementation of control chart approaches. This will assist in monitoring these pertinent parameters and assist decision-makers in determining whether to impose stricter or less strict containment measures to stop the spread of a disease. The data for this study data was sourced from the Our World In Data (OWID) website (https://www.owid.org). This database contains information about how the Covid-19 pandemic has spread globally. The data consist of the reproduction number and the stringency index of the pandemic from February 2020 to July 2022. The range chart was used to monitor the variability in these indices. The findings indicate that during the first 42 days of infection, the pandemic's reproduction number and stringency index are not within statistically significant ranges, hence out of statistical control. This could explain the virus's quick spread as well as the nation's economy's suffering due to harsh government measures. The study concludes, therefore, that statistical quality control charts are a viable option for tracking a few key pandemic metrics. This would assist in educating interested parties about the necessity of taking the necessary actions to stop the spread of such a pandemic.
| 2 |
Author(s):
Jackson Ante , Okoi Itam , Jeremiah Atsu , Samuel Essang , Etimbuk Abraham , Michael Ineh .
Page No : 11-33
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On the Novel Auxiliary Lyapunov Function and Uniform Asymptotic Practical Stability of Nonlinear Impulsive Caputo Fractional Differential Equations via New Modelled Generalized Dini Derivative.
Abstract
In this paper, the uniform asymptotic practical stability of nonlinear impulsive Caputo fractional differential equations with fixed moment of impulse is examined using an auxilliary Lyapunov functions which are analogues of vector Lyapunov functions. Together with comparison results, sufficient conditions for the uniform practical stability as well as the uniform asymptotic practical stability of the impulsive Caputo fractional order systems are established. An illustrative example is given to confirm the suitability of the obtained results.
| 3 |
Author(s):
Ishola Sakirudeen Akinola (Ph.D.).
Page No : 34-56
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Groundwater Quality Assessment using Descriptive and Associated Statistical Analyses in Itori District of Ogun State, South-West Nigeria.
Abstract
Groundwater is a natural gift whose significance in all spheres of human endeavours cannot be underestimated. It also plays a critical role and indispensable contribution in the dilution and intake of a number of several nutritional and toxic trace elements in the body system of humans and other biological populations. This study has examined the concentration status of heavy metals in wells and boreholes of Wasinmi within Ewekoro Local Government Area of Ogun State, South-West Nigeria. The existing and functioning 25 boreholes and 25 hand-dug wells in the area were physically and chemically sampled using Ion Chromatography (IC) for anions, Nitrate, Phosphates, Bicarbonate, Chloride and Sulphate were measured after chromatography separation utilizing conductivity detectors while Inductively Coupled Mass Spectrometer (ICP-MS) and Inductively Coupled Optical Emission Spectrometry (ICP-OES) were used for heavy metals and trace elements detection. The raw data obtained from the laboratory analyses were subjected to statistical treatment using SPSS software version 20.0. Results of the analyses revealed that the concentrations of Copper (Cu), Lead (Pb), Zinc (Zn), and Manganese (Mn) were within approved guidelines including WHO and NESREA maximum permissible limits with mean values of 0.020.01mg/L and 0.040.02mg/L; 0.0040.0005mg/L and 0.00080.0004mg/L; 1.0080.37mg/L and 1.600.89 mg/L and 0.010.009mg/L and 0.040.01mg/L, respectively for boreholes and wells. The proportion of Cadmium (Cd) was also very low, with a mean concentration value of 0.00020.0004mg/L and 0.00070.0005mg/L for boreholes and wells respectively. The value of chromium and cobalt were found to be significantly low (0.00010.0003mg/L) in boreholes only and largely undetected in wells while Iron exhibited elevated concentration mean values of 0.440.34mg/L and 0.540.32mg/L respectively for boreholes and wells which is above the permissible water quality set standards. The elevated values of the identified parameters notably DO, BOD, Alkalinity, Cl−, HCO3−, Zn2+, and Fe3+ in the groundwater system of the study area that were above the set standards are major concern to the health of the consumers which necessitates a proactive response from the communities.
| 4 |
Author(s):
E. E. Chinwuba, Okafor Patrick Nnaemeka, Kama Henry Nnanna.
Page No : 57-71
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Using Improved Two-Source Capture-Recapture Methods In Settling Disputed Election Results.
Abstract
Introduction of new technology to check rigging and manipulation of election results by the Independent National Electoral Commission (INEC) raised hopes and dreams of many Nigerians, especially the new electorates, that the 2023 general election in Nigeria would be free and fair. Cross-checking INEC declared election results using this recapture model is supposed go beyond questionnaires. Sampling technique to select polling units where re-run election is to take place is necessary. They have been issues of vote suppression, rigging, manipulation or intimation in those areas would have largely been reduced. The new estimator has shown that there were no serious cases of vote suppression, manipulation or intimation by any political party, as far as this Local Government Area is concerned. If there were vote suppression, it is only about 1.78% which is negligible. Using simulated data, we found that efficient recapture model (Me) provides better and more reliable estimate than the conventional models.
| 5 |
Author(s):
Ishola Sakirudeen Akinola (Ph.D.)..
Page No : 57-81
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Evaluations of Groundwater Quality using Principal Component Analysis and Associated Multivariate Techniques: A Case History in Ewekoro Communities, South-West Nigeria.
Abstract
The quest for quality water consumption is comprised of integration of numerous techniques from different professionals whose contributions go a long way in determining overall health status and wellness of any given society. The water quality status of boreholes in Ewekoro communities of Ewekoro Local Government Area, South-West Nigeria was investigated in this work. Water samples were collected from 25 boreholes at various sampling stations across the study area. Standard analytical water quality methods using Inductively Coupled Mass Spectrometry (ICP-MS)/Optical Emission Spectrometry (ICP-OES) and Pour Plate Techniques were respectively employed in the laboratory for the samples’ geochemical and bacteriological analyses. The raw data were processed and analyzed using Principal Component Analysis and other multivariate techniques with Excel and SPSS 20.0 statistical software packages with the corresponding outcomes systematically compared with water quality standards. For the PCA, the varimax rotation converged in 23 iterations with 6 components extracted which accounted for 92.76% of the total cumulative variance respectively observed for geochemical parameters. Na2+, K+, Ca2+, Cl-, SO42-, NH4+, PO43-, and HCO3-, Mg3+, Cu2+, Cd2+, Zn2+, Ni, S , Si, Fe3+, NO3− and Al3+ played a significant contribution with higher factor loading supported by the dominance of HCO3− among the water quality determinants. The rotation converged in 8 iterations with 3 extracted components that accounted for a total cumulative variance of 90.99% % with pH, TEMP, EC, BOD, TS, TURB, ALK, TH, TDS, THC, and DO in the Physico-chemical Parameters series. Most quality determinants in the sampled water are within allowable limits of the approved water quality standards including WHO except Alkalinity, HCO3−, MgCO3−, Cl−, BOD, Cd2+, Fe3+ and Zn2+. The overall ionic dominance pattern follows the same trend K+ >Na2+ > Fe3+ >Mn2+ and Cl- >NO3- >NO2-. The results of the microbial analyses revealed the highest Total Coliform Count of 17 x 102 MPN/100 ml while that of THBC and FCC were reported as 7.8 ×102 cfu/ml and 1.2×102 cfu/ml respectively. The hygienic status of the water sources was found to be poor. High BOD, Coliform Count and BOD5:NO3- ratios of 248.23 recorded for the groundwater samples were suggestive of possible organic pollution due to faecal invasion with the lowest measured depth of 35m. Multivariate statistical approaches namely Correlation, Principal Component Analysis and Descriptive statistics simplified and identified the interrelationship among the analyzed physicochemical parameters and the pollution sources. This study has therefore revealed that boreholes in Ewekoro were polluted and posed potential risk to biomedical safety and overall human health. Intervention measures are therefore necessary to safeguard the inhabitants from water-related diseases and their consequences.
| 6 |
Author(s):
Adamu Danbaba, Jelten B. Naphtali, Momoh U. Sunday.
Page No : 82-86
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Construction of Finite 2-Transitive Groups Based on the Concept of Near Field.
Abstract
Transitive groups were studied basically based on the idea of near field. The article mainly considered Dickson near field to construct groups which are 2-transitive..To achieve the result some restrictions were observed in relation to the near field. The research went through the constructions with the help of the classification scheme for finite primitive groups proposing that the subgroup is the stabilizer of the group. The idea of this constructions has relevance in coding theory.
| 7 |
Author(s):
Godwin Ojemeri , A. S. Ibrahim, I. O. Onwubuya.
Page No : 87-104
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Mixed Convection Flow of a Viscous Dissipative and Heat Generating/Absorbing Fluid Through a Slit Microchannel.
Abstract
This paper is aimed at investigating the consequences of viscous dissipation and super-hydrophobicity on a magnetized mixed convection flow of an electrically conducting fluid across an up facing microchannel influenced by a transverse magnetic field. The plates were alternatively heated and incorporated with heat source/sink effect. The modeled governing equations have been obtained using a semi-analytical (regular perturbation) method. Various line graphs have been plotted to demonstrate the behavior of key parameter dictating the flow. It is found out that the thermal gradient and fluid velocity are significantly enhanced for mounting values of mixed convection , Brickman number , Darcy porous number and heat source parameters in the superhydrophobic microchannel for constant pressure gradient . On the other hand, the velocity deteriorates for increasing levels of magnetic field and heat sink factors. Further, the comparison of this present analysis with previously published literature for limiting cases when and showcased an excellent concurrence, thereby confirming the accuracy and validity of this present investigation. The findings from this research will find relevance in engineering, technological and industrial processes such as for solar collectors, nuclear reactors cooled during emergency shutdown, Nuclear power plants, gas turbines and the various propulsion devices for aircraft, missiles, satellites and space vehicles.
| 8 |
Author(s):
Obed Tiwah John, Danjuma Jibasen, S. S. Abdulkadir , Shakuntla Singla .
Page No : 105-121
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Modelling Service Times Using Beta-Based Compound Distribution.
Abstract
The design of the queueing model involves modelling the arrival and service processes of the system. Conventionally, the arrival process is assumed to follow Poisson while service times are assumed to be exponentially distributed. Other distributions such as Weibull, uniform, lognormal have been used to model service times however, generalized distributions have not been used in this regard. In recent times, attention have been shifted to generalised families of distributions including Beta generalized family of distributions which led to the development of Beta-based distributions. Distributions generated from a mixture of beta random variables are quite numerous in literature with little or no application to service times data. In this study, six Beta-based compound distributions namely; Beta-Log-logistic distribution (BLlogD), Beta-Weibull distribution (BWeiD), Beta-Lomax distribution (BLomD), Beta-exponential distribution (BExD), Beta-Gompertz distribution (BGomD) and Beta-log-normal distribution (BLnormD)) were compared with the classical service times model on four service times data sets. Maximum likelihood estimator was employed in estimating parameters of the selected models while Akaike Information Criteria (AIC), Consistent Akaike Information Criterion (CAIC), Bayesian Information Criterion (BIC) and Hannan Quin information criterion (HQIC) statistics were employed to select the best model. CDFs, PDFs and PP-plots were used to fit the data of the suggested models. Results from the study shows that Beta-Exponential distribution (BExpD) performed better for the datasets I (AIC=640.3, CAIC=640.5,BIC=648.1 and HQIC=643.4), Beta-weibull distribution (BWeiD) performed better for the data sets II and III (AIC=204.2, 2142.4,CAIC=204.2, 2142.7,BIC=212.8, 2154.9 and HQIC=207.6, 2147.5) while Beta-log-logistic distribution (BLlogD) performed better for the data sets IV (AIC=2275.3,CAIC=2275.5, BIC=2289.3 and HQIC=2280.9). Findings from this study revealed some useful Beta-based compound distributions which performed better than the conventional service time model. From the findings of this study, we recommend researchers to dive deep into queueing theory.
| 9 |
Author(s):
Zayyanu Sahabi Yabo, Abdullahi Hussaini, Isah Bala Yabo.
Page No : 122-133
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Conjugate Impacts of Linear Variable Thermal Conductivity and Thermal Radiation on Nonlinear Electrically Conducting Fluid.
Abstract
This study investigates the conjugate impacts of variable thermal conductivity and thermal radiation on nonlinear heat conducting fluid moving vertically through parallel channel. The dimensional governing equations were reduced to dimensionless partial differential equations and consequently transformed to ordinary differential equations. The resulting ordinary differential equations were solved using homotopy perturbation method. The study aimed at discovering the possible effects of thermal radiation parameter, thermal conductivity parameter, temperature difference parameter and Magnetic parameter through the help of line graphs. It was found that, Velocity and temperature distributions were increasing functions of , while Velocity and temperature distributions are decreasing functions of
Thermal conductivity parameter
| 10 |
Author(s):
I. M. Mankilik, S. A. Ihedioha.
Page No : 134-146
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Optimized Investment Strategy and Proportional Reinsurance of Insurance Company under Ornstein–Uhlenbeck and Geometric Brownian Motion Models.
Abstract
In this work we investigated the optimization of an insurer’s investment strategy and the proportional reinsurance rate of his portfolio under power utility preference in the cases of correlating and non-correlating Brownian motions. The market in which insurer traded two assets; a risky asset which price process was governed by the geometric Brownian motion (GBM) and riskless asset that had its price driven by the Ornstein-Uhlenbeck stochastic model. We derived the required Hamilton-Jacobi-Bellman Equation (HJB) by applying the maximum principle of dynamic programming and the elimination of dependency on variables was used to obtain the analytic solutions of optimizes investment strategy and the proportional reinsurance rate.
| 11 |
Author(s):
Onyebuchi Benedicta Amolo, Emwinloghosa Kenneth Guobadia, JohnPaul Kenechukwu Iwuchukwu.
Page No : 134-152
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Extending a Level Three Order Polynomial Probability Model.
Abstract
An inverse and power extension were derived for a three order polynomial probability distribution and
studied in this paper as post-development. The two extensions serve to make up for the limitations of their
baseline model. Some relevant properties: shape of the PDF, moments, survival function, hazard function,
quantile function, stress-strength reliability, order statistics and parameter estimations were studied. The
hazard shapes of the distributions were found to be - inverted bathtub for the former; and three different
shapes namely: increasing function, decreasing function and bathtub, for the later. This implies that the
distributions can altogether model many varieties of datasets emanating from different life phenomena.
This statement “if ( ) , then ( ) ” was examined and was discovered to apply for
exponential distribution but not any of the extended distributions and the baseline distribution too.
Finally, the extensions showed to be competent over both the baseline distribution and their respective
counterpart distributions, with respect to the datasets used. For the later, the superiority was accountably
hinged on the extra parameters; since the dataset has an outlier.
| 12 |
Author(s):
Mark Nwachukwu Ugo, John Paul Kenechukwu Iwuchukwu, Emwinloghosa Kenneth Guobadia.
Page No : 153-161
|
Perfect Hemisphere Trend Realization: A Combinatorial Modification of Probability Distributions.
Abstract
The paper reviews creative ways to developing continuous probability models playing around integration method and the concept of normalization. It further projects a probability distribution realized by combining two symmetric probability models that differ in shape, to produce a perfect hemisphere or half-sun trend. Normal and arcsine distributions are the root distributions used for this development. At some values of the parameter, the distribution can be right skewed; where other moments and related measures, and estimation are studied as its properties, alongside simulation.
| 13 |
Author(s):
Asogwa O. C., Eze N. M., Christopher C. C., Aruah K. E., Chimezie I. E..
Page No : 162-173
|
On the Comparative Study of the Supervised Machine Learning Models.
Abstract
This research empirically compared the performance of three supervised machine learning models which are Multinomial Logistic Regression (MLR), Multilayer back propagated Neural Networks (MNN) and Multinomial Decision Trees (MDT) based on a tested data set for the opinion of Nigerian citizens during the period of naira redesign policy using classification matrix criterion. About 600 copies of questionnaires on the opinion of Nigeria citizens on their individual welfare at the period of naira redesign. The result showed that, ANN outperformed other models with 94.4% correct classification rates, followed by the MLR with correctly classification rates of 93.5% and lastly by MDT with correct classification rates of 90.0%.
| 14 |
Author(s):
Agbedeyi O. D., Maliki S. O., Asor V. E..
Page No : 174-187
|
A Time Dependent Neural Network Model for the Prediction and Forecasting of Bitcoin Price.
Abstract
In this research work, we developed a mathematical model of a digital currency market, involving daily closing price as a function of time. We proposed the Artificial Neural Network (ANN) model. We observed that our ANN model was able to predict the daily closing price of Bitcoin and also make six weeks forecast to a reasonable degree of accuracy. We equally observe that the time dependent ANN model can actually give digital currency traders and investors a clue on when to trade off their digital assets with minimum risk. We therefore, recommend that ANN model should be incorporated into digital currency trading platforms as a signal tool to enable digital currency traders take more informed and less risky trading decisions. From our findings, we would advise traders who wish to employ ANN model to consider a smaller time frame say a few weeks’ time interval for their predictions. We observed also that ANN models have limitations when it comes to manual computation or implementation in Microsoft Excel, especially when dealing with very large input values. This is because of the saturation characteristic of our ANN inner layer activation function (viz; tanh function) which can lead to identical output values for different input values, making it difficult to replicate the ANN model's behavior. Furthermore, ANN models often involve complex interactions between multiple neurons, layers, and activation functions, which can be challenging to replicate manually.
| 15 |
Author(s):
Agbedeyi O. D., Maliki S. O., Asor V. E..
Page No : 188-204
|
A Predictive Model for Digital Currencies Prices using Geometric Brownian Motion Stochastic Differential Equation: A Case Study of the Bitcoin.
Abstract
In this research work, we developed a predictive model for digital currency prices, involving daily closing price as a function of time. We used the Geometric Brownian motion stochastic differential equation which was solved using inbuild functions in Microsoft Excel. While we used the Bitcoin as our case study, our model was able to predict the daily closing prices of Bitcoin to a reasonable degree of accuracy. We equally observe that the time dependent Geometric Brownian motion stochastic differential equation cannot give digital currency traders and investors a clue on when to trade off their digital assets. Thus, it become very risky using our model to make well informed trading decisions. We therefore, recommend that for minimum risk, trades and investors in digital currencies should consider a combination of other signal tools to take more informed and less risky trading decisions.
| 16 |
Author(s):
Samuel Hwere Tsok, Sabo Hama, M. S. Adamu.
Page No : 205-225
|
Exploring the Primitivity and Regularity of Dihedral Groups of Degree 5p Using Numerical Approaches.
Abstract
This paper delves into exploration of primitivity and regularity of Dihedral groups of degree 5p, where p is prime, focusing on cases where these groups are not p-groups. By utilizing numerical approaches, the properties of these groups are examined to shed light on their structure, behavior, and underlying algebraic characteristics. Key numerical methods are employed to calculate invariants and test conditions for primitivity and regularity in these groups. [20][13]
| 17 |
Author(s):
Robert Folorunsho Akerejola (Ph.D.), Elakhe O. A., Isere A. O..
Page No : 226-247
|
A Non-Standard Finite Difference Discretization Scheme Applied to a Malaria Model.
Abstract
In this research work, a dynamically consistent non-standard finite difference (NSFD) scheme is developed to solve a continuous-time model of malaria transmission with herbal medicine as control strategy. We compared results from NSFD scheme with the standard finite difference methods (4th order Runge-kutta and forward Euler methods). The numerical investigation showed that the proposed NSFD method remains consistent, preserves the positivity of solutions and converges to true equilibrium points of the continuous model independent of the step size h.
| 18 |
Author(s):
Raphael Michael Ugochukwu, Odo Kenneth Ejiofor, Nwanya J. C..
Page No : 248-262
|
On Comparing the Optimality Criteria Performance of Resolution IV And Resolution V Factorial Designs.
Abstract
This study looks at the optimality criteria performances on the factorial design of Resolution IV and Resolution V. The Comparative studies of Resolution IV and Resolution V design were evaluated using the D, G, and I-optimality criteria. The FDS plots where also used. The results showed that in all the factors k considered, Resolution V has a better factorial design when it comes to D- optimality, G- optimality and I-optimality, but when the interest is on the spread of the scale prediction variance, Resolution IV is preferred. The FDS plots for Resolution IV and V design were relatively the same for factors k = 6 and k = 10.
| 19 |
Author(s):
Owoyi M. C., Okwonu F. Z..
Page No : 263-271
|
A Review on the Effect of Imbalanced Dataset on Linear Discriminant Analysis.
Abstract
Imbalanced data are often delegate issues in data set as it has the power to affect the result and the performance of the classification algorithm. In such problems, if not handled well with a good sampling techques could lead to biased result, overfitting as well as high rate of misclassification thereby favouring just one class among the two classes. Usually, when assigning a sampling techniques, it is necessary to look at the nature of the dataset being studied. It is of a truth that the LDA classifier looking for an efficient performance when presented with an imbalanced instances are not suitable to deal with imbalanced learning tasks, since they tend to classify all the data into the majority class, which is usually the less important class. This work explains the different approaches which have been employed by different researchers to resolve the issue of imbalanced data in LDA and the effect of the result obtained both positively and negatively. It should be noted that this single article cannot completely review all the works or researches done on the topic, hence we hope that the references which was dually cited will be of help to the major theoretical issues.
| 20 |
Author(s):
Akpome Jennifer Nomuoja, Chidera Agu, Temisan Gabriel Olawale , Chinyere Josephine, Emwinloghosa Kenneth Guobadia.
Page No : 272-295
|
A New Classical Two Parameter Asymmetric Probability Distribution: Properties and Application.
Abstract
In this paper, the record is set straight on the technique for the development of classical
distributions; where a new model called the Sky-Log distribution is proposed as an illustrative
example of the methodical approach. The statistical properties of the proposed distribution were
derived; and the very many known generating functions there is, exist for the distribution. Lionel
Messi’s football record data were analyzed to validate the essence of the proposed model.
Finally, it was discovered that the proposed distribution sub-model, termed Sky-X distribution,
and the exponential distribution, are exact model fit alternatives.
| 21 |
Author(s):
Terna Godfrey Ieren, Jerry Joel, Bassa Shiwaye Yakura, Elizabeth Ishagba Aniah-Betiang, Samuel Oluwole Iseyemi.
Page No : 296-319
|
A Sine Lomax-Exponential Distribution: Its Properties, Simulation and Applications to Survival Data.
Abstract
The process of introducing extra parameters or mathematical constants into existing distribution to increase its flexibility and performance has yielded good results in the area of statistical theory and applications. The trigonometric based Sine-G family, a method of developing new distributions, is one of the most efficient methods proposed and studied for introducing skewness and flexibility into probability distributions. In this paper, the method has been used to add flexibility to the Lomax-exponential distribution resulting to a new continuous distribution known as “Sine Lomax-Exponential distribution”. The properties, estimation of parameters and simulation study of the new distribution using the method of maximum likelihood estimation with real life applications are presented and discussed in this paper. The new model has been applied to two survival datasets and the result is being compared among the fitted distributions using some information criteria.
| 22 |
Author(s):
Hafiza Inusa Idris, Abdulmalik Mohammed, Umar Faruk Salisu, Kamalu Ibrahim Balansana, Danjuma Abdulazeez, Nurudden Hassan Danrimi.
Page No : 320-327
|
Evaluating the Performances of Robust Logistic Regression Models in the Presence of Outliers.
Abstract
Logistic regression models are widely used in the field of medical and behavioral sciences. These models are used to describe the effect of explanatory variables on a binary response variable. The maximum likelihood estimator (MLE) is commonly used to estimate the parameters of logistic regression models due to its efficiency under a parametric model. However, evidence has shown that the MLE is highly sensitive to outlying observations which might affect the parameter estimates. Robust methods are put forward to rectify this problem. This paper investigated the robustness of GM-Mallows and GM-Schweppes as an alternative to the commonly used ordinary logistic regression model in the presence of outliers. The study used a Monte Carlos Simulation, by generating a logistic regression model with Five independent normally distributed covariates. 5 of outliers was contaminated to the data on sample sizes 50, 200 and 400 respectively. The results showed that the GM-Mallows estimator perform best across all metrics having the lowest AIC, BIC, MSE and MAE except for n=50. This suggests that the robust methods, especially GM-Mallows, provide more reliable estimates in the presence of outliers. the finding suggests that if there is presence of outliers’ GM-Mallows appears to be the top choice, where the GM-Schweppes offers a middle ground, providing some robustness with perhaps less extreme adjustments. The ordinary logistic regression might be preferred if simplicity and interpretability are prioritized, and there's confidence that outliers are not a significant issue in the data.
| 23 |
Author(s):
Ajijola Olawale Olaonipekun.
Page No : 328-342
|
Dynamic Response to Moving Load of Prestressed Damped Shear Beam Resting on Bi-Parametric Elastic Foundation.
Abstract
The dynamic behaviour of damped shear beam resting on bi-parametric elastic foundation when traversed by moving load travelling at constant velocity is investigated in this present study. The beam-type structure has uniform cross-sectional area and it is assumed to be simply supported. The governing equations are coupled second order partial differential equations. The method of integral transformation called Finite Fourier series was first used to reduce the sets of coupled second order partial differential equations governing the motion of this class of dynamical problem to sequence of coupled second order ordinary differential equations. Thereafter, the simplified coupled equations describing the motion of the beam-load system were then solved by Laplace transformation in conjunction with convolution theory to obtain the solution. The closed form solution obtained was analyzed to obtain the conditions under which the beam-load system will experience resonance phenomenon and speeds at which this may occur are also established. The effects of pertinent structural parameters on the response of damped shear beam when under the action of the moving load were presented in plotted curves. From the graphs, it is interestingly found that increase in the values of vital structural parameters such axial force Nf, circular frequency CF, foundation stiffness K and shear modulus G reduces the transverse displacement of the damped shear beam when under the action of the moving load. Practically speaking, increase in the values of these structural parameters significantly enhances the stability of the beam and increases the critical speed of the dynamical system. Consequently, the resonance risk of the vibrating system is reduced and thus the safety of the occupant of this structural member is guaranteed.
Keywords: Dynamic response, axial force, moving load, shear beam, elastic foundation, critical speed, resonance.
| 24 |
Author(s):
Ahmad Rufai Tasiu, Halima Usman, Zulaihatu Aliyu, Sani Abdullai Aliero, Ejiwole Oluwafemi Job.
Page No : 343-358
|
Enhanced Heat and Mass Transfer in an Oscillatory Flow System: Investigating the Effect of Thermal Radiation.
Abstract
Within the context of a magnetic field and chemical reaction, this article investigates the impact of thermal radiation on the MHD Heat and Mass transfer of an oscillatory flow through a vertical plate that is embedded with porous material. Regular perturbation techniques are used to solve the nonlinear partial differential equations driving the heat and mass transfer processes.The momentum, energy, and concentration equations were derived from this linear transformation. The investigation and visual representation of the consequences of various pertinent flow-encased properties were undertaken. Researchers have found that increasing the thermal radiation parameters causes the fluid velocity to rise, but increasing the magnetic field parameter, Schmidt number, and Prandtl number causes the velocity profile to fall. Increasing the chemical reaction parameter also causes the concentration to climb. In addition, a thorough validation was carried out between the current work and the previous literature
| 25 |
Author(s):
Olajide Oluwamayowa Opeyimika, Olubiyi Adenike Oluwafunmilola, Olayemi Michael Sunday.
Page No : 359-373
|
Theoretical Properties of the Lindley Exponentiated Gumbel Distribution.
Abstract
This study introduces a new statistical distribution, named the Lindley Exponentiated Gumbel (LEGu) distribution, aiming to enhance the flexibility and adaptability of statistical models for various environmental datasets. The distribution is constructed by combining elements of the Lindley density function with its corresponding cumulative density function (cdf) and probability distribution function (pdf), offering increased flexibility and versatility for statistical modelling and analysis in various fields of research and application. To derive insights into the newly proposed distribution, the study investigates its structural properties and characteristics and presents expansions for its probability density and cumulative density functions using generalized binomial expansion. Several important representations, such as the survival function, hazard function, quantile function, probability weighted moment, moment generating function, and distribution of order statistics, are provided for the LEGu distribution. The method of estimation involves maximum likelihood estimation, with the sample log-likelihood function derived. Due to the complex nature of the likelihood function, numerical optimization techniques like the Newton-Raphson method are proposed for estimating the distribution parameters effectively. The proposed distribution's versatility and robustness, coupled with the use of maximum likelihood estimators, pave the way for more accurate and reliable interpretations of environmental data, leading to valuable insights and potential applications in diverse environmental research and decision-making processes.
| 26 |
Author(s):
Eduiyovwiri Lewis Ejiro, Unaegbu Ebenezer Nkemjika, Nwanunu Peter, Ofodile Chukwunonso H..
Page No : 374-383
|
An Understudy of the Political Competition Between the Major Political Parties in 2023 Governorship Election in Delta State, Nigeria Using Nash Equilibrium.
Abstract
This paper discussed Nash Equilibrium relative to political competition in most political parties in Delta State. Emphasis was placed on the understudy of the political competition between major political parties in 2023 Governorship Elections in Delta State using Nash Equilibrium. This work uses the Prisoner’s Dilemma-Non-Cooperative approach of games theory to extensively examine the political competition in parties using Nash Equilibrium. The importance of a free, credible and transparent electioneering process devoid of violence cannot be over-emphasize as it guarantee smooth transition from one democratic dispensation to another.
Data collection that aided this research work sourced through interview and from the website of Independent Electoral Commission (INEC), the electoral arbiter tasked with the responsibility conducting elections into various positions in Nigeria. This paper was developed to understudy the Political Competition Between Major Political Parties in 2023 Governorship Election in Delta State Using Nash Equilibrium.
