BIFURCATION ANALYSIS OF A STAGE-STRUCTURED PREDATOR-PREY MODEL WITH PREY REFUGE

被引：4

作者：

Zhu, Qing ^{[1
,2
]}

Peng, Huaqin ^{[1
]}

Zheng, Xiaoxiao ^{[3
]}

Xiao, Huafeng ^{[2
]}

机构：

[1] Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Peoples R China

[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2019年 / 12卷 / 07期

关键词：

Predator-prey model; Hopf bifurcation; delay; refuge of prey population; stage-structure; TIME-DELAY MODEL; SYSTEM; GROWTH;

D O I：

10.3934/dcdss.2019141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stage-structured predator-prey model with prey refuge is considered. Using the geometric stability switch criteria, we establish stability of the positive equilibrium. Stability and direction of periodic solutions arising from Hopf bifurcations are obtained by using the normal form theory and center manifold argument. Numerical simulations confirm the above theoretical results.

引用

页码：2195 / 2209

页数：15

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