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

作　　者：Jing Xu Mingzhan Huang Xinyu Song 

机构地区：[1]School of Mathematics and Statistics Xinyang Normal University,Xinyang 464000,P.R.China

出　　处：《International Journal of Biomathematics》2020年第5期1-20,共20页生物数学学报（英文版）

基　　金：The authors would like to thank the anonymous referees and Professor Lansun Chen for their very valuable comments,which led to a significant improveinent of the original paper.This work is supposed by the National Natural Science Foundation of China(No.11671346);Nanhu Scholars Program of XYNU.

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.

关 键 词：Homoclinic orbit periodic solution successor function EXISTENCE STABILITY 

分 类 号：O17[理学—数学]