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Affiliation of Author(s):理学院

Title of Paper:Dynamics analysis of a delayed reaction-diffusion predator-prey system with non-continuous threshold harvesting

Journal:MATHEMATICAL BIOSCIENCES

Key Words:Hopf bifurcation Predator-prey system Non-continuous harvesting Stability Reaction-diffusion Delay

Abstract: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 No.:0025-5564

Translation or Not:no

Date of Publication:2017-07-01

Co-author:Zhang, Xuebing

Correspondence Author:zhy