Homoclinic Cycle and Homoclinic Bifurcations of a Predator-Prey Model with Impulsive State Feedback Control

Authors

  • Tongqian Zhang
  • Tong Xu
  • Junling Wang College of Mathematics and Systems Science, Shandong University of Scienceand Technology, Qingdao, Shandong 266590, China 
  • Zhichao Jiang

DOI:

https://doi.org/10.12150/jnma.2020.227

Keywords:

Semi-continuous dynamic system, Successor function, Order-1 homoclinic cycle, Homoclinic bifurcation, Order-1 periodic solution.

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.

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Published

2024-04-10

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Issue

Vol. 2 No. 2 (2020)

Section

Articles

How to Cite

Homoclinic Cycle and Homoclinic Bifurcations of a Predator-Prey Model with Impulsive State Feedback Control. (2024). Journal of Nonlinear Modeling and Analysis, 2(2), 227-240. https://doi.org/10.12150/jnma.2020.227