School of Physical Sciences (SPS)

Permanent URI for this communityhttp://197.211.34.35:4000/handle/123456789/30

School of Physical Sciences (SPS)

Browse

Author: search.filters.author.Somma, Samuel AbuStart date: 2020

Search Results

Now showing 1 - 5 of 5
  • No Thumbnail Available
    Item
    Stability Analysis for Mathematical Modeling of Dengue Fever Transmission and Control
    (Proceedings of International Conference on Contemporary Developments in Mathematical Sciences (ICCDMS), 2021-04-13) Aliyu, A. H.; Akinwande, N. I.; Somma, Samuel Abu
    Dengue fever is one of the greatest health challenges in the present world. In this work, mathematical modeling of dengue fever transmission and control was formulated. The model considered the human population h N and the vector population m N which are further subdivided into six classes, susceptible human 𝑆, infected human 𝐼, temporary recovered human class 1 R , permanently recovered human class 2 R , susceptible mosquito 1 M , and infected mosquito class 2 M . The Disease Free Equilibrium (DFE) point was obtained and the basic Reproduction number 0 R was computed. The Disease Free Equilibrium (DFE) is locally and globally asymptotically stable when R0  1.
  • No Thumbnail Available
    Item
    Stability Analysis of the Disease-Free Equilibrium State of a Mathematical Model of Measles Transmission Dynamics
    (Proceedings of 2nd International Conference on Mathematical Modelling, Optimization and Analysis of Disease Dynamics (ICMMOADD) 2025. Federal University of Technology, Minna, Nigeria, 2025-02-20) Adama, P. W.; Somma, Samuel Abu
    Measles is an acute viral infectious disease caused by the Measles morbillivirus, a member of the paramyxovirus family. The virus is primarily transmitted through direct contact and airborne droplets. In this study, a mathematical model was developed to examine the transmission dynamics of measles and explore effective control measures. The stability of measles-free equilibrium was analyzed, and the results indicate that the equilibrium is locally asymptotically stable when the basic reproduction number R0 is less than or equal to unity. Numerical simulations were conducted to validate the analytical findings, demonstrating that measles can be eradicated if a sufficiently high level of treatment is applied to the infected population.
  • No Thumbnail Available
    Item
    Mathematical analysis of a Chlamydia trachomatis with nonlinear incidence and recovery rates
    (Proceedings of 2nd International Conference on Mathematical Modelling, Optimization and Analysis of Disease Dynamics (ICMMOADD) 2025. Federal University of Technology, Minna, Nigeria, 2025-02-20) Ashezua, T. T.; Abu, E. A.; Somma, Samuel Abu
    Chlamydia, one of the commonest sexually transmitted infections (STIs), remain a public health concern in both underdeveloped and developed countries of the world. Chlamydia has caused worrying public health consequences hence much research work is needed to check the spread of the disease in the population. In this paper, a mathematical model for Chlamydia is developed and analyzed with nonlinear incidence and recovery rates. Qualitative analysis of the model shows that the disease-free equilibrium is locally asymptotically stable using the method of linearization. Further, using the comparison theorem method, the disease-free equilibrium is found to be globally asymptotically stable whenever the associated reproduction number is less than unity. Furthermore, mathematical analysis of the reproduction number shows that the intervention levels and the maximum per capita recovery rate due to effective treatment has a significant impact in reducing the burden of Chlamydia in the population. Numerical results show a relationship between the transmission rate, intervention levels, maximum per capita recovery rate and the reproduction number. Sensitivity analysis was conducted on the parameters connected to the reproduction number, Rc and results reveal that the top parameters that significantly drive the dynamics of Chlamydia in the population are the transmission rate, intervention levels and the maximum per capita recovery rate. These parameters need to be checked by healthcare policy makers if the disease must be controlled in the population.
  • No Thumbnail Available
    Item
    Population dynamics of a mathematical model for Campylobacteriosis
    (Proceedings of International Conference on Mathematical Modelling Optimization and Analysis of Disease Dynamics (ICMMOADD), 2024-02-22) Ashezua, T. T.; Salemkaan, M. T.; Somma, Samuel Abu
    The bacterium campylobacter is the cause of campylobacteriosis, a major cause of foodborne illness that goes by the most common name for diarrheal illnesses. This paper develops and analyzes a new mathematical model for campylobacteriosis. It is demonstrated that in cases where the corresponding reproduction number is smaller than unity, the model's disease-free equilibrium is both locally and globally stable. The numerical simulation results indicate that increasing the treatment rate for both symptomatic and asymptomatic disease-infected individuals resulted in a decrease in the number of asymptomatic and symptomatic individuals, respectively, and a rise in the population's number of recovered individuals.
  • No Thumbnail Available
    Item
    Homotopy Perturbation Analysis of the Spread and Control of Lassa Fever
    (Proceedings of International Conference on Mathematical Modelling Optimization and Analysis of Disease Dynamics (ICMMOADD), 2024-02-22) Tsado, D.; Oguntolu, F. A.; Somma, Samuel Abu
    Lassa fever, a viral infection transmitted by rodents, has emerged as a significant global health concern in recent times. It continues to garner significant attention daily basis owing to its rapid transmission and deadly nature. In this study, the Homotopy Perturbation Analysis was conducted to examine the spread and control of Lassa fever. The human population was categorized into susceptible, exposed, infected, and recovered compartments, while the rodent population was divided into susceptible and infected recovered compartments. By applying the Homotopy Perturbation Analysis to the nonlinear differential equations associated with these compartments, we were able to obtain the analytical solution for the spread and control of Lassa fever. The nonlinear differential equations were integrated into the Homotopy Perturbation framework and solved to form a power series solution. Finally, the final approximate solutions were obtained and simulation results were generated from the general solution graphically.