School of Physical Sciences (SPS)

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School of Physical Sciences (SPS)

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End date: 2019Subject: search.filters.subject.Stability

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    Local Stability Analysis of a River Blindness Disease Model with Control
    (The Pacific Journal of Science and Technology, 2018-05) F. A. Oguntolu; G. Bolarin; S. A. Somma; A.O. Bello
    In this paper, a mathematical model to study the dynamics of River Blindness is presented. The existence and uniqueness of solutions of the model were examined by actual solution. The effective reproduction number was obtained using the next generation matrix. The Disease Free Equilibrium (DFE) State was obtained and analysed for stability. It was found that, the DFE State is Locally Asymptotically Stable (LAS) if the effective reproduction number R0 < 1 and unstable if R0 > 1.
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    A Mathematical Model of Yellow Fever Disease Dynamics Incorporating Special Saturation Interactions Functions
    (1st SPS Biennial International Conference Federal University of Technology, Minna, Nigeria, 2017-05-05) Akinwande, N. I.; Abdulrahman, S.; Ashezua, T. T.; Somma, Samuel Abu
    We proposed an Mathematical Model of Yellow Fever Disease Dynamics Incorporating Special Saturation Process functions, obtained the equilibrium states of the model equations and analyzed same for stability. Conditions for the elimination of the disease in the population are obtained as constraint inequalities on the parameters using the basic reproduction number 0R . Graphical simulations are presented using some demographic and epidemiological data.
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    A MATHEMATICAL MODEL OF YELLOW FEVER DISEASE DYNAMICS INCORPORATING SPECIAL SATURATION INTERACTIONS FUNCTIONS
    (1st SPS Biennial International Conference Federal University of Technology, Minna, Nigeria, 2017-05-05) Akinwande, N. I.; Abdulrahman, S.; Ashezua, T. T.; Somma, Samuel Abu
    We proposed an Mathematical Model of Yellow Fever Disease Dynamics Incorporating Special Saturation Process functions, obtained the equilibrium states of the model equations and analyzed same for stability. Conditions for the elimination of the disease in the population are obtained as constraint inequalities on the parameters using the basic reproduction number 0 R demographic and epidemiological data. . Graphical simulations are presented using some
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    Local and Global Stability Analysis of a Mathematical Model of Measles Incorporating Maternally-Derived-Immunity
    (Proceedings of International Conference on Applied Mathematics & Computational Sciences (ICAMCS),, 2019-10-19) Somma, Samuel Abu; Akinwande, N. I.; Gana, P.
    In this paper, the local stabilities of both the Disease Free Equilibrium (DFE) and Endemic Equilibrium (EE) were analyzed using the Jacobian matrix stability technique. The global stabilities were analyzed using Lyapunov function. The analysis shows that the DFE is locally and globally stable if the basic reproduction number R 0  1 R 0  1 and R 0  1 respectively. The EE is also locally and globally stable if . Vaccination and recovery rates have been shown from the graphical presentation as the important parameter that will eradicate measles from the population.