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Chattopadhyay, J.; Pal, S.; El Abdllaoui, A.

Classical predator-prey system with infection of prey population – a mathematical model. (English) Zbl 1044.34001

Math. Methods Appl. Sci. 26, No. 14, 1211-1222 (2003).
A three-dimensional Lotka-Volterra predator-prey system is treated where the prey population is divided into a susceptible and an infective class. Conditions are given for the local stability of the uninfected prey-predator equilibrium, for the endemic equilibrium without predator, and for the global stability of the positive equilibrium of the three-dimensional system. It is also shown that as the infection rate is increased the positive equilibrium undergoes an .
Reviewer: Miklos Farkas (Budapest)

Cited in 18 Documents

MSC:

34C23 Bifurcation theory for ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
92D25 Population dynamics (general)
92C60 Medical epidemiology
92D30 Epidemiology
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References:

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