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所属单位：理学院

发表刊物：MATHEMATICAL BIOSCIENCES

关键字：Hopf bifurcation Predator-prey system Non-continuous harvesting Stability Reaction-diffusion Delay

摘要：This paper deals with a delayed reaction-diffusion predator-prey model with non-continuous threshold harvesting. Sufficient conditions for the local stability of the regular equilibrium, the existence of Hopf bifurcation and Turing bifurcation are obtained by analyzing the associated characteristic equation. By utilizing upper-lower solution method and Lyapunov functions the globally asymptotically stability of a unique regular equilibrium and asymptotically stability of a unique pseudoequilibrium are studied respectively. Further, the boundary node bifurcations are studied. Finally, numerical simulation results are presented to validate the theoretical analysis. (C) 2017 Elsevier Inc. All rights reserved.

ISSN号：0025-5564

是否译文：否

发表时间：2017-07-01

合写作者：Zhang, Xuebing

通讯作者：赵洪涌