Analysis of a delayed predator-prey model with ratio-dependent functional response and quadratic harvesting

被引：25

作者：

Feng P. ^{[1
]}

机构：

[1] Department of Mathematics, Florida Gulf Coast University, Fort Myers

来源：

Journal of Applied Mathematics and Computing | 2014年 / 44卷 / 1-2期

关键词：

Hopf bifurcation; Permanence; Ratio dependent; Time delay;

D O I：

10.1007/s12190-013-0691-z

中图分类号：

学科分类号：

摘要：

In this paper, we investigate the dynamics of a ratio dependent predator-prey model with quadratic harvesting. We examine the existence of the positive equilibria, the related dynamical behaviors of the model, as well as the boundedness and permanence property of the system. We also study the global stability of the interior equilibrium without time delay. Finally some bifurcation analysis is carried out for the system with delay and the results are illustrated numerically. © 2013 Korean Society for Computational and Applied Mathematics.

引用

页码：251 / 262

页数：11

共 10 条

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