Industrial Mathematics

Permanent URI for this collectionhttp://197.211.34.35:4000/handle/123456789/189

Industrial Mathematics

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

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    Bifurcation Analysis on the Mathematical Model of Measles Disease Dynamics
    (Horizon Research Publishing Co., Ltd., 2013-12) Samuel Abubakar; Ninuola Ifeoluwa Akinwande; Sirajo Abdulrahman; Festus Abiodun Oguntolu
    In this paper we proposed a Mathematical model of Measles disease dynamics. The Disease Free Equilibrium (DFE) state, Endemic Equilibrium (EE) states and the characteristic equation of the model were obtained. The condition for the stability of the Disease Free equilibrium state was obtained. We analyze the bifurcation of the Disease Free Equilibrium (DFE) and the result of the analysis was presented in a tabular form.
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    Mathematical Modeling of Polio Virus Infection Incorporating Immigration and Vaccination
    (Faculty of Physical Sciences, University of Ilorin, 2019-12-01) G. Bolarin; I. U. Omatola; A. Yusuf; C. E. Odo; F. A. Oguntolu; M. A. Philip
    A deterministic mathematical model for polio infection dynamics with emphasis on immigration and vaccination was formulated and analyzed. We derived the basic reproduction number, of the model formulated. The effective reproduction number was computed using the next generation matrix to enable a qualitative analysis to be carried out on the model. Also, the disease-free equilibrium and endemic equilibrium points were computed. On analyzing the equilibrium points, we found that the disease-free equilibrium point is locally asymptotically stable if and the condition for existence on an Endemic Equilibrium point was also established. More so, numerical simulations showed that vaccination coverage of about 75% would be enough to eradicate polio from the population.