A Predator-Prey Model with Functional Response and Stage Structure for Prey

被引：2

作者：

Sun, Xiao-Ke ^{[2
]}

Huo, Hai-Feng ^{[1
]}

Zhang, Xiao-Bing ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Inst Appl Math, Lanzhou 730050, Gansu, Peoples R China

[2] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

BIRTH PULSES; TIME-DELAY; SYSTEM; PERMANENCE; EXTINCTION; STABILITY;

D O I：

10.1155/2012/628103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A predator-prey system with Holling type II functional response and stage structure for prey is presented. The local and global stability are studied by analyzing the associated characteristic transcendental equation and using comparison theorem. The existence of a Hopf bifurcation at the positive equilibrium is also studied. Some numerical simulations are also given to illustrate our results.

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页数：19

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