Mathematics

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Mathematics

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Author: search.filters.author.Somma, Samuel AbuSubject: search.filters.subject.Stability

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    STABILITY AND BIFURCATION ANALYSIS OF ENDEMIC EQUILIBRIUM OF A MATHEMATICAL MODEL OF YELLOW FEVER INCORPORATING SECONDARY HOST
    (Transactions of the Nigerian Association of Mathematical Physics, 2018-03-10) Somma, Samuel Abu; Akinwande, N. I.; Jiya, M.; Abdulrahman, S.; Ogwumu, O. D.
    In this paper we used the Centre Manifold theorem to analyzed the local stability of Endemic Equilibrium (EE). We obtained the endemic equilibrium point in terms of forces of infection and use it to analyze for the bifurcation of the model. We carried out the bifurcation analysis of the model with four forces of infection which resulted into bifurcation diagram. The forces of infection of vector-primary host and vector secondary host transmissions were plotted against basic reproduction number. The bifurcation diagram revealed that the model exhibit forward bifurcation.
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    COA-SOWUNMI'S LEMMA AND ITS APPLICATION TO THE STABILITY ANALYSIS OF EQUILIBRIUM STATES OF THE NON-LINEAR AGE-STRUCTURED POPULATION MODEL
    (International Journal of Mathematics and Physical Sciences Research, 0205-04-10) Akinwande, N. I.; Somma, Samuel Abu
    Abstract: In this work, we present a result in the form of a lemma which we name COA-Sowunmi’s Lemma, its proof and application to the stability analysis of the transcendental characteristics equation arising from the perturbation of the steady state of the non-linear age-structured population model of Gurtin and MacCamy [11]. Necessary condition for the asymptotic stability of the equilibrium state of the model is obtained in the form of constrained inequality on the vital parameters of the model. The result obtained is then compared with that of an earlier work by the [4].
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    Stability Analysis of the Disease Free Equilibrium State of a Mathematical Model of Ebola Fever Disease Epidemic
    (. International Journal of Innovation in Science and Mathematics (IJISM), 2015-06-01) Abah, R. T.,; Akinwande, N. I.; Enagi, I. A.; Kuta, F. A.,; Abdulrahaman, S.; Somma, Samuel Abu
    Ebola fever has been a major cause of death in recent times. It has claimed thousands of lives in West Africa since 2014 till date. Very few mathematical models have been developed to study its transmission dynamics. In this paper the stability analysis of the disease free equilibrium state of a mathematical model of Ebola Fever disease epidemic were carried out.