Journal Articles

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Author: search.filters.author.Akinwande, N. I.Subject: search.filters.subject.stability

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    Stability Analysis of Disease Free Equilibrium (DFE) State of a Mathematical Model of Yellow Fever Incorporating Secondary Host
    (Pacific Journal of Science and Technology, 2017-12-28) Somma, Samuel Abu; Akinwande, N. I.; Jiya, M.; Abdulrahaman, S.
    In this paper we formulate a mathematical model of yellow fever incorporating secondary host. We obtained the Disease Free Equilibrium (DFE) Points and compute the basic reproduction number. The local and global stability of the DFE was analyzed using Jacobian Matrix stability techniques and Lyapunov function respectively. The local and global stability was asymptotically stable if 1 0 R  and 1 0 R  , respectively. The basic reproduction number and control parameters of the model were presented graphically.
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    A Global Asymptotic Stability of COVID-19 Diabetes Complication Free Equilibrium
    (Journal of Science, Technology, Mathematics and Education (JOSTMED), 2024-03-25) Yusuf, A,; Akinwande, N. I.; Olayiwola, R. O.; Kuta, F. A.; Somma, Samuel Abu
    In this paper, a Mathematical modelling of COVID-19 incorporating the comorbidity of Diabetes was established base on the accompanying assumptions, a global asymptotic of the same model was developed by applying the theorem of Castillo-Chavez by fixing a point to be globally asymptotic stable equilibrium of the system, provided that and the two set conditions are satisfied. It is very clear that so the conditions are not met. Hence, may not be globally asymptotically stable when .
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    Local Stability Analysis of a Tuberculosis Model incorporating Extensive Drug Resistant Subgroup
    (Pacific Journal of Science and Technology (PJST), 2017-05-20) Eguda, F. Y.; Akinwande, N. I.; Abdulrahman, S.; Kuta, F. A.; Somma, Samuel Abu
    This paper proposes a mathematical model for the transmission dynamics of Tuberculosis incorporating extensive drug resistant subgroup. The effective reproduction number was obtained and conditions for local stability of the disease R c free equilibrium and endemic equilibrium states were established. Numerical simulations confirmed the stability analysis and further revealed that unless proper measures are taken against typical TB, progression to XDR-TB, mortality and morbidity of infected individuals shall continue to rise.