A delayed diffusive predator-prey system with predator cannibalism

A delayed diffusive predator-prey system with predator cannibalism
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具有捕食者同类相食的延迟扩散捕食者-被捕食者系统

DOI:
10.1016/j.camwa.2017.11.006
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发表时间:
2017-11
影响因子:
2.9
通讯作者:
Yang Ruizhi
Yang Ruizhi
中科院分区:
数学2区
文献类型:
--
作者:
Li Yanfeng;Liu Haicheng;Yang Ruizhi

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A diffusive predator–prey system with cannibalism and maturation delay in predator subject to Neumann boundary condition is studied in this paper. Instability and Hopf bifurcation induced by time delay are investigated. By the theory of normal form and center manifold method, the conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution are derived. Some numerical simulations are given to support our results.
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