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Affiliation of Author(s):理学院

Title of Paper:Harvest control for a delayed stage-structured diffusive predator-prey model

Journal:INTERNATIONAL JOURNAL OF BIOMATHEMATICS

Key Words:Stability Hopf bifurcation delay

Abstract:In this paper, we have considered a delayed stage-structured diffusive prey-predator model, in which predator is assumed to undergo exploitation. By using the theory of partial functional differential equations, the local stability of an interior equilibrium is established and the existence of Hopf bifurcations at the interior equilibrium is also discussed. By applying the normal form and the center manifold theory, an explicit algorithm to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived. Finally, the complex dynamics are obtained and numerical simulations substantiate the analytical results.

ISSN No.:1793-5245

Translation or Not:no

Date of Publication:2017-01-01

Co-author:Zhang, Xuebing

Correspondence Author:zhy