时滞在具有Ivlev型功能反应函数的捕食者-食饵扩散系统中的作用

Abstract

Abstract:

A delayed diffusive predator-prey system with Ivlev-type predator functional response subject to Neumann boundary conditions is considered. The stability of nonnegative equilibria and existence of Hopf bifurcation are obtained by analyzing the distribution of the eigenvalues. By the theory of normal form and center manifold, an explicit algorithm for determining the stability and direction of periodic solution bifurcating from Hopf bifurcation is derived.

Key words: Prey-predator, Delay, Ivlev-type functional response, Hopf bifurcation, Periodic solutions

CLC Number:

35B32

WANG Xue-Chen, WEI Jun-Jie. The Effect of Delay on a Diffusive Predator-Prey System with Ivlev-Type Functional Response[J].Acta mathematica scientia,Series A, 2014, 34(2): 234-250.

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The Effect of Delay on a Diffusive Predator-Prey System with Ivlev-Type Functional Response

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