The effect of prey refuge and time delay on a diffusive predator-prey system with hyperbolic mortality
The effect of prey refuge and time delay on a diffusive predator-prey system with hyperbolic mortality
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DOI：
10.1002/cplx.21759
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发表时间：
2016-09
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影响因子：
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通讯作者：
Ruizhi Yang;Chunrui Zhang
中科院分区：
文献类型：
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作者：
Ruizhi Yang;Chunrui Zhang
In this article, we investigate the effect of prey refuge and time delay on a diffusive predator‐prey system with Holling II functional response and hyperbolic mortality subject to Neumann boundary condition. More precisely, we study Turing instability of positive equilibrium by using refuge as parameter, instability and Hopf bifurcation induced by time delay. In addition, by the theory of normal form and center manifold, we derive conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution. © 2016 Wiley Periodicals, Inc. Complexity 21: 446–459, 2016
