Dynamical analysis of a two-species competitive system with state feedback impulsive control

被引：18
作者：
Xu, Jing [1 ]
Huang, Mingzhan [1 ]
Song, Xinyu [1 ]
机构：
[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2020年 / 13卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Homoclinic orbit; periodic solution; successor function; existence; stability; PREDATOR-PREY MODEL; QUALITATIVE-ANALYSIS; PERIODIC-SOLUTION; CHEMOSTAT MODEL; VARIABLE YIELD; LESLIE-GOWER; OPTIMIZATION; STABILITY;
D O I：
10.1142/S1793524520500072
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, three competitive systems with different kinds of state-dependent control are presented and investigated. The existence of the order-1 homoclinic orbit and order-1 periodic solution of the two systems that incorporate just one kind of state-dependent control is obtained by applying differential equation geometry theory, and the stability of the order-1 periodic solution of each system is also given. Besides, sufficient conditions for the existence and stability of the order-2 periodic solution of the system that incorporate two kinds of state-dependent control are gained by successor function method and analogue of Poincare criterion, respectively. Finally, numerical simulations are carried out to verify the theoretical results.
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页数：20
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