Hopf bifurcation in a delayed differential-algebraic biological economic system

被引：19

作者：

Zhang, Guodong ^{[1
]}

Zhu, Lulu ^{[1
]}

Chen, Boshan ^{[1
]}

机构：

[1] Hubei Normal Univ, Dept Math, Huangshi 435002, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 03期

关键词：

Stability; Hopf bifurcation; Predator-prey system; Periodic solution; Time delay; PREDATOR-PREY SYSTEM; PERIODIC-SOLUTIONS; TIME-DELAY; STABILITY; MODEL; EQUATIONS; FISHERY;

D O I：

10.1016/j.nonrwa.2010.11.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a differential-algebraic biological economic system with time delay where the model with Holling type II functional response incorporates a constant prey refuge and prey harvesting. By considering time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the differential-algebraic biological economic system based on the new normal form approach of the differential-algebraic system and the normal form approach and the center manifold theory. Finally, numerical simulations illustrate the effectiveness of our results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1708 / 1719

页数：12

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