Exploration on dynamics in a discrete predator-prey competitive model involving feedback controls

被引：53

作者：

Xu, Changjin ^{[1
]}

Cui, Xiaohan ^{[2
]}

Li, Peiluan ^{[3
]}

Yan, Jinling ^{[3
]}

Yao, Lingyun ^{[2
]}

机构：

[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang, Peoples R China

[2] Guizhou Univ Finance & Econ, Lib, Guiyang, Peoples R China

[3] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang, Peoples R China

来源：

JOURNAL OF BIOLOGICAL DYNAMICS | 2023年 / 17卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Competitive model; permanence; feedback control; delay; global attractivity; POSITIVE PERIODIC-SOLUTIONS; FOOD-CHAIN SYSTEM; GLOBAL ATTRACTIVITY; SUFFICIENT CONDITIONS; PERMANENCE; STABILITY; DELAY; EXTINCTION; PERSISTENCE; EXISTENCE;

D O I：

10.1080/17513758.2023.2220349

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

In this work, we set up a new discrete predator-prey competitive model with time-varying delays and feedback controls. By virtue of the difference inequality knowledge, a sufficient condition which guarantees the permanence of the established discrete predator-prey competitive model with time-varying delays and feedback controls is derived. Under some appropriate parameter conditions, we have proved that the periodic solution of the system without delay exists and globally attractive. To verify the correctness of the derived theoretical fruits, we give two examples and execute computer simulations. Our obtained results are novel and complement previous known results.

引用

页数：20

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