@Article{JNMA-2-2, author = {Zhang, Tongqian and Xu, Tong and Wang, Junling and Zhichao, Jiang}, title = {Homoclinic Cycle and Homoclinic Bifurcations of a Predator-Prey Model with Impulsive State Feedback Control}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2020}, volume = {2}, number = {2}, pages = {227--240}, abstract = {

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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.227}, url = {https://global-sci.com/article/88010/homoclinic-cycle-and-homoclinic-bifurcations-of-a-predator-prey-model-with-impulsive-state-feedback-control} }