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Global behaviour of a food chain model consisting of two different predator species

Nijamuddin Ali, Santabrata Chakravarty


Of concern the present article deals with the mathematical analysis of a three species food chain model with two different types of predator species incorporating intra-specific competition among predator populations. Holling type-II response function for the interaction between prey and predator and ratio-dependent response function for the interaction between predator and top-predator is considered. The essential mathematical features have been analyzed in terms of local stability, global stability and the bifurcation theory as well. Our analytical findings are only validated by appropriate numerical simulations. Biological implications of the analytical findings are discussed at length in the concluding section.


Food chain model, Functional response, Global stability, Hopf bifurcation, Lyapunov function

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