带有脉冲和Holling-IV型功能反应函数的中立型捕食-食饵模型的周期解

数学物理学报 ›› 2021, Vol. 41 ›› Issue (1): 178-193.

带有脉冲和Holling-IV型功能反应函数的中立型捕食-食饵模型的周期解

蒋婷婷^1,²,杜增吉^1,*()

¹ 江苏师范大学数学与统计学院江苏徐州 221116
² 江苏省徐州医药高等职业学校江苏徐州 221116

收稿日期:2020-02-29 出版日期:2021-02-26 发布日期:2021-01-29
通讯作者: 杜增吉 E-mail:751668254@qq.com; zjdu@jsnu.edu.cn; duzengji@163.com
基金资助:
国家自然科学基金(11771185);国家自然科学基金(11871251)

Periodic Solutions of a Neutral Impulsive Predator-Prey Model with Holling-Type IV Functional Response

Tingting Jiang^1,²,Zengji Du^1,*()

¹ School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu Xuzhou 221116
² Jiangsu Provincial Xuzhou Pharmaceutical Vocational College, Jiangsu Xuzhou 221116

Received:2020-02-29 Online:2021-02-26 Published:2021-01-29
Contact: Zengji Du E-mail:751668254@qq.com; zjdu@jsnu.edu.cn; duzengji@163.com
Supported by:
the NSFC(11771185);the NSFC(11871251)

摘要/Abstract

摘要：

该文研究一类带有中立型脉冲时滞和Holling-IV型功能反应函数的捕食-食饵模型.通过运用Mawhin迭合度理论和分析技巧，得到了捕食-食饵模型正周期解存在性的充分条件.

关键词: 中立型捕食-食饵模型, 脉冲, 周期解, Holling-type IV型功能反应函数, 迭合度理论

Abstract:

This paper is concerned with a neutral impulsive predator-prey model with Holling-type IV functional response and delays. We obtain sufficient conditions on the existence of positive periodic solutions of this predator-prey model by using the Mawhin coincidence degree theory and analysis technique.

Key words: Neutral predator-prey model, Impulsive, Periodic solutions, Holling-type IV functional response, Coincidence degree theory

中图分类号:

O175

蒋婷婷,杜增吉. 带有脉冲和Holling-IV型功能反应函数的中立型捕食-食饵模型的周期解[J]. 数学物理学报, 2021, 41(1): 178-193.

Tingting Jiang,Zengji Du. Periodic Solutions of a Neutral Impulsive Predator-Prey Model with Holling-Type IV Functional Response[J]. Acta mathematica scientia,Series A, 2021, 41(1): 178-193.

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