Stability, bifurcations and chaotic dynamics in a delayed hybrid tri-trophic food chain model with Holling type-II and Leslie-Gower type functional responses
نویسندگان
چکیده
In this paper the qualitative behaviour of a delayed tri-trophic food chain model with Holling type II and modified Leslie-Gower functional responses is studied. Condition for existence and local stability of the interior equilibrium of the model are derived. Hopf bifurcation analysis is discussed by considering gestation time delay as bifurcation parameter. Applying normal form method and center manifold theory, the direction and stability of the bifurcating periodic solutions are determined. Analytical findings are verified by numerical results.
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