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

Jing Xu; Mingzhan Huang; Xinyu Song

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

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

作者：

Jing Xu Mingzhan Huang Xinyu Song

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Homoclinic

orbit

periodic

solution

successor

function

EXISTENCE

STABILITY

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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篇名	Dynamical analysis of a two-species competitive system with state feedback impulsive control
来源期刊	生物数学学报:英文版	学科	数学
关键词	Homoclinic orbit periodic solution successor function EXISTENCE STABILITY
年，卷（期）	2020,（5）	所属期刊栏目
研究方向		页码范围	1-20
页数	20页	分类号	O17
字数		语种
DOI