Periodic solution of a stage-structured predator-prey model with Crowley-Martin type functional response

被引：3

作者：

Lu, Weijie ^{[1
]}

Xia, Yonghui ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 05期

基金：

中国国家自然科学基金;

关键词：

periodic solution; stag-structure; Crowley-Martin type functional response; STABILITY ANALYSIS; RESOURCE MODEL; SYSTEM; INTERFERENCE; DYNAMICS; DELAY; PERMANENCE; EXTINCTION; DIFFUSION;

D O I：

10.3934/math.2022454

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of positive periodic solution of stage-structured predator-prey model with Crowley-Martin type functional response is investigated. The prey population fall into two categories: mature and immature prey. The predator population is dependent only on mature prey and is influenced by Crowley-Martin type functional response. Based on the Mawhin's coincidence degree theory and nontrivial estimation techniques for a priori bounds of unknown solutions to the operator equation F-z = mu Nz, we prove the existence of positive periodic solution. Finally, the effectiveness of our result is verified by an example and numerical simulation.

引用

页码：8162 / 8175

页数：14

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