Dynamics of the Transmission of Infectious
Disease in a Pre-Predator Ecosystem

E.A. Bakare; Y.A. Adekunle; K.O Kadiri

doi:https://doi.org/10.14445/22315373/IJMTT-V2I3P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 2 | Issue 3 | Year 2011 | Article Id. IJMTT-V2I3P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V2I3P506

Dynamics of the Transmission of Infectious Disease in a Pre-Predator Ecosystem

E.A. Bakare, Y.A. Adekunle, K.O Kadiri

Abstract

This paper is to study a mathematical model of the spread of infectious disease in a Predator-Prey Ecosystem. We discuss in detail the stability of the disease free and the endemic equilibrium by using the Routh-Hurwitz conditions to linearise the non-linear systems. We identify the threshold parameter R0 (basic reproduction number) and that the disease free equilibrium always exists. Numerical Simulations are carried out .Implications of our analytical and numerical findings are discussed critically.

Keywords

Routh-Hurwitz conditions, basic reproduction number, disease free equilibrium, infectious disease, Predator-Prey Ecosystem.

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Citation :

E.A. Bakare, Y.A. Adekunle, K.O Kadiri, "Dynamics of the Transmission of Infectious Disease in a Pre-Predator Ecosystem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 2, no. 3, pp. 22-29, 2011. Crossref, https://doi.org/10.14445/22315373/IJMTT-V2I3P506