ArticleReview Article
Epidemiological Characteristics and Transmissibility of BrucellosisOnyinyechi Favour Anorue; Mark Ifeanyichukwu Modebei; Emeka F. Obiajulu
November 2, 2026•DOI: 10.52589/AJMSS-QWRGEV•Volume 9 Issue 3•5 views
This study investigates brucellosis transmission among humans and ruminants, together with environmental contamination, using the original nine-compartment deterministic model. The analysis examines solution properties, the disease-free and endemic equilibria, the basic reproduction number and the direction of the threshold bifurcation. For the system as formulated, the next-generation method gives a reproduction threshold that is consistent with the endemic-equilibrium existence condition: a unique positive equilibrium exists when R₀ exceeds one. A centre-manifold calculation verifies the coefficients at the critical threshold and gives a forward bifurcation. The numerical illustrations study depict the ruminant and human compartments and environmental bacterial dynamics, emphasising the relevance of ruminants and environmental exposure in brucellosis transmission. The model and results inform consideration of transmission reduction, treatment and environmental contamination control over time.
Read moreBrucellosisExistence and UniquenessReproduction NumberStability Analysis
ArticleResearch Article
Mathematical Analysis of Typhoid-HCV Co-Infection Transmission Dynamics.Olawuyi O. M.; Isobeye G.; Abegye S. Y. (Ph.D.)
May 18, 2026•DOI: 10.52589/AJMSS-53NHWL43•Volume 9 Issue 2•308 views
The World Health Organization had strategized a global eradication of hepatitis C virus (HCV) since 2016 because of its impact on global population. Its elimination has been prolonged because it was discovered that the diseases can co-exit with Typhoid fever and both illnesses contributing significantly to morbidity and long-term health complications. Therefore, a study was conducted using a compartmental model to explain the transmission dynamics of this co-infection leading to a non – linear deterministic equation. The basic reproduction number ( R_0) was obtained by next-generation method and the two criterions for stability conditions were computed.. The free equilibrium point was evluated and showed to be locally asymptotically stable when the threshold quantity is less than one. It was shown that both the analytical and numerical results agree with each others. Also, the results revealed that the susceptible population initially dominated but gradually declined as infection spread, while the recovered class steadily increased due to effective treatment and vaccination. Co-infection levels (A_C) remained low but persistent without control, confirming the synergistic effect of both pathogens.
Read moreCo-infectionstabilitybasic reproduction numbersensitivity analysis.
Article
Mathematical Modelling of the Impacts of Morning Fatigue on Academic Performance: A Case Study of Federal University Wukari, Taraba State.Okorie Charity Ebelechukwu; Jinan Gommam Bongcir; Ochigbo Josephine Elanma
September 24, 2024•DOI: 10.52589/AJHNM-BUFOHVGK•Volume 7 Issue 4•1,460 views
Several authors have researched the phenomenon of sleep deprivation among students. In their studies, we discovered that they did not consider morning fatigue. So, we decided to fill the gap in the literature by using mathematical models to study the impact of morning fatigue. The aim is to develop mathematical modeling for the impact of morning fatigues on the academic performances of the students, a case study of the Federal University Wukari in Taraba State. In this project work, we formulated a mathematical model based on a system of ordinary differential equations to study the impact of morning fatigue on academic performance. We tested the model for existence and uniqueness and discovered that the model exists and that it is unique. Basic reproduction number was computed using the next generation matrix approach. Questionnaires were distributed to 400 students and the data for this research were collected from the responses of the students. The result of the basic reproduction number shows that morning fatigue can be controlled. Using Routh-Hurwitz criterion for local stability, the fatigue free equilibrium (FFE) states of the model were established and proved to be locally asymptotically stable. Sensitivity analysis was then carried out to determine which parameters that should be targeted by control intervention strategies of which the result shows that an increase in the acceptance of the control measure rate lead to a reduction in the prevalence of the fatigue. Finally, numerical simulation of the model was carried out and the result shows that Morning fatigue has great impact in academic performance of students. This means that there is need for students to avoid reading till day break which in turn brings morning fatigue.
Read moreMorning fatigueSimulationBasic reproduction numberLocally asymptotically stableparameters.
Article
Estimation of the Basic Reproduction Number of COVID-19 in Nigeria.Okorie Charity Ebelechukwu; Yusuf Haruna; Bala Ma’aji Abdulhamid; Hina Aliyu Danladi
July 12, 2024•DOI: 10.52589/AJBMR-CXZFHMDZ•Volume 7 Issue 3•1,317 views
Corona virus disease is seen as a dreaded disease all over the world. This prompted many researchers into carrying out research on COVID-19. The essence of these is to provide solution for eradication ofCOVID-19.In this research work, we considered the basic reproduction number which is a determinant to the spread and control of any infectious diseases. We used the next generation matrix as a method of finding the basic reproduction number. Data for the analysis were obtained from literatures, World meters and from NCDC. Maple 2023 software was used for the analysis. The results show thatR_0<1. This is an indication that COVID-19 is not spreading like wild fire as the case of other countries. This does not mean that Nigerians will relent and give room for re infection and spread of COVID-19 The information from this research work will enable the government, health care providers and general public in taking precautionary measures against COVID-19.
Read moreCOVID-19Basic reproduction numberDiseaseEstimationAnalysis.
Article
Determining Sensitive Parameters in the Transmission Dynamics of Malaria Disease Using Mathematical Model ApproachOmoloye M.A.; Olatinwo M.; Ayanlere O.F.; Adesanya A.O.; Emiola O.K.S.; Umar A.M.
April 8, 2023•DOI: 10.52589/AJMSS-2IL0EKHK•Volume 6 Issue 2•1,303 views
The challenge posed by malaria disease calls for urgent need for a better understanding of important parameters in the disease transmission and development of prevention and control of the spread of malaria disease. In this work, a mathematical model for the dynamics of malaria disease is developed and analyzed. There is existence of disease free equilibrium and endemic equilibrium point of the model, the local stability of disease free equilibrium is obtained using Jacobian matrix which is locally asymptotically stable whenever the basic reproduction number is less than unity. Finally, the results obtained in Table 2, Figure 6 and Figure 8 from sensitivity analysis reveal that malaria disease can be control if biting rate of mosquito is eliminated in the population
Read moreMathematical modelDisease free equilibriumBasic reproduction numberSensitivityPositivityBoundedness of solution.
Journal
African Journal of Agriculture and Food ScienceAfrican Journal of Agriculture and Food Science (AJAFS) is an international peer-reviewed open access journal that publishes original research across agriculture, food science, nutrition, and related disciplines. The journal provides a platform for high-quality scholarship that examines the food system from production to consumption, integrating agricultural science, food processing, food safety, and nutrition. AJAFS welcomes contributions that strengthen sustainable food systems, improve livelihoods, and advance scientific understanding of the links between agriculture, food, health, and society.
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International Research in Material and EnvironmentInternational Research in Material and Environment (IRME) is an international peer-reviewed open access journal that publishes original research in materials science, environmental science, sustainability, and related interdisciplinary fields. The journal provides a platform for high-quality scholarship that examines the development, production, use, performance, and disposal of materials within environmental and sustainability contexts. IRME welcomes contributions that integrate fundamental scientific research with practical solutions for sustainable development, resource management, environmental protection, and the advancement of environmentally responsible technologies.
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Journal of Advanced Manufacturing and AutomationJournal of Advanced Manufacturing and Automation (JAMA) is an international peer-reviewed open access journal that publishes original research in advanced manufacturing, automation, industrial engineering, production systems, and related technological disciplines. The journal provides a platform for the dissemination of high-quality theoretical, experimental, computational, and applied research that advances modern manufacturing technologies, intelligent production systems, and industrial automation. JAMA welcomes contributions that promote innovation in manufacturing processes, digital production, smart factories, and automation technologies that enhance productivity, quality, efficiency, sustainability, and competitiveness across industrial sectors.
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Journal of Creative and Performing Arts StudiesJournal of Creative and Performing Arts Studies (JCPAS) is an international peer-reviewed open access journal that publishes original research in creative arts, performing arts, visual arts, cultural studies, and related interdisciplinary humanities fields. The journal provides a platform for the dissemination of high-quality theoretical, historical, critical, and practice-based research that advances understanding of artistic expression, creative processes, performance traditions, and cultural production across diverse societies and contexts. JCPAS welcomes contributions that explore the creation, interpretation, preservation, and impact of creative and performing arts while fostering scholarly dialogue between artistic practice and academic inquiry.
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Journal of Crop and Soil Science ResearchJournal of Crop and Soil Science Research (JCSSR) is an international peer-reviewed open access journal that publishes original research in crop science, soil science, agronomy, and related agricultural disciplines. The journal provides a platform for the dissemination of high-quality theoretical, experimental, and applied research that advances understanding of crop production systems, soil resources, plant-soil interactions, and sustainable agricultural practices. JCSSR welcomes contributions that improve agricultural productivity, soil health, resource-use efficiency, and environmental sustainability while addressing contemporary challenges in food security and climate resilience.
