TY - JOUR
T1 - Homoclinic Cycle and Homoclinic Bifurcations of a Predator-Prey Model with Impulsive State Feedback Control
AU - Zhang , Tongqian
AU - Xu , Tong
AU - Wang , Junling
AU - Jiang , Zhichao
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 227
EP - 240
PY - 2021
DA - 2021/04
SN - 2
DO - http://doi.org/10.12150/jnma.2020.227
UR - https://global-sci.org/intro/article_detail/jnma/18808.html
KW - Semi-continuous dynamic system, Successor function, Order-1
homoclinic cycle, Homoclinic bifurcation, Order-1 periodic solution.
AB - <p style="text-align: justify;">In this paper, the homoclinic bifurcation of a predator-prey system with impulsive state feedback control is investigated. By using the geometry theory of semi-continuous dynamic systems, the existences of order-1 homoclinic cycle and order-1 periodic solution are obtained. Then the stability of order-1 periodic solution is studied. At last, an example is presented to illustrate the main results.</p>