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 in this paper.For a non-delay system, global stability, Turing instability nacrack.com and Hopf bifurcation are studied.For a delay system, time delay induced instability and Hopf bifurcation are discussed.

By the theory of normal form and the center manifold method, the equi-jec 6 direction and stability of the bifurcating periodic solution are discussed.