A diffusive predator-prey system with prey refuge and gestation delay

A diffusive predator-prey system with prey refuge and gestation delay

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Abstract The dynamics of a diffusive predator-prey system with prey refuge and gestation delay is investigated read more in this paper.For a non-delay system, global stability, Turing instability and Hopf bifurcation are studied.For a delay here system, time delay induced instability and Hopf bifurcation are discussed.

By the theory of normal form and the center manifold method, the direction and stability of the bifurcating periodic solution are discussed.