School of Physical Sciences (SPS)
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School of Physical Sciences (SPS)
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Item A Mathematical Model of a Yellow Fever Dynamics with Vaccination(Journal of the Nigerian Association of Mathematical Physics, 2015-11) Oguntolu, F. A.; Akinwande, N. I.; Somma, Samuel Abu; Eguda, F. Y.; Ashezua. T. T.In this paper, a mathematical model describing the dynamics of yellow fever epidemics, which involves the interactions of two principal communities of Hosts (Humans) and vectors (mosquitoes) is considered .The existence and uniqueness of solutions of the model were examined by actual solution. We conduct local stability analysis for the model. The results show that it is stable under certain conditions. The system of equations describing the phenomenon was solved analytically using parameter-expanding method coupled with direct integration. The results are presented graphically and discussed. It is discovered that improvement in Vaccination strategies will eradicate the epidemics.Item Stability Analysis of the Mathematical Modelling of Transmission and Control of Rabies Incorporating Vaccination Class(Dutse Journal of Pure and Applied Sciences (DUJOPAS), 2022-03-02) Somma, Samuel Abu; Balogun, R. T.; Eguda, F. Y.; Abdurrahman, N. O.; Adama, P. W.; Yisa E. M.Rabies is a viral disease of nervous system that is often transmitted to human beings through the bite or scratch of rabid animals. The uprising of in-security globally has forced several people to get dogs in their houses. In this paper the mathematical model of rabies transmission and control was formulated by incorporating vaccination class. The Disease Free Equilibrium (DFE) state of the model was obtain and used to compute the basic reproduction number 0 R . Local stability analysis of the DFE was carried out using Jacobian Matrix techniques. The DFE is locally asymptotically stable if