Homoclinic Cycle and Homoclinic Bifurcations of a Predator-Prey Model with Impulsive State Feedback Control
Year: 2020
Author: Tongqian Zhang, Tong Xu, Junling Wang, Zhichao Jiang
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.227
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 2 : pp. 227–240
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Semi-continuous dynamic system Successor function Order-1 homoclinic cycle Homoclinic bifurcation Order-1 periodic solution.