Mathematical Analysis of the Control of the Spread of Infectious Disease in a Prey-Predator Ecosystem

 International Journal of Computer & Organization Trends (IJCOT) © 2012 by IJCOT Journal Volume-2 Issue-1 Year of Publication : 2012 Authors : E.A. Bakare,Y.A Adekunle, A.Nwagwo

Citation

E.A. Bakare,Y.A Adekunle, A.Nwagwo . "Mathematical Analysis of the Control of the Spread of Infectious Disease in a Prey-Predator Ecosystem" . International Journal of Computer & organization Trends (IJCOT), V2(1):11-16 Jan - Feb 2012, ISSN 2249-2593, www.ijcotjournal.org. Published by Seventh Sense Research Group.

Abstract

We present a model for the mathematical analysis of the control of the spread of an infectious disease in a predator-prey ecosystem. In this work, we present a compartmental mathematical model expressed by a systems of differential equations based on the dynamics of the Infection. We discuss the Disease Free Equilibrium(DFE) and the Endemic Disease Equilibrium(EDE). In this study, we realized that to eradicate or reduce the intensity of disease spread in the prey-predator ecosystem ,we apply vaccination strategies with herd immunity.

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Keywords

Compartmental mathematical model, herd immunity, endemic disease equilibrium, disease free equilibrium, vaccination strategies.