Back to Search
Start Over
Complicate dynamical analysis of a discrete predator-prey model with a prey refuge.
- Source :
- AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 7, p1-23, 23p
- Publication Year :
- 2023
-
Abstract
- In this paper, some complicated dynamic characteristics are formulated for a discrete predator-prey model with a prey refuge. After studying the local dynamical properties about fixed points, our main purpose is to investigate condition(s) for the occurrence of flip and hopf bifurcations, respectively. Further, by the bifurcation theory, we have studied flip bifurcation at boundary fixed point, and flip and hopf bifurcations at interior fixed point of the discrete model. We have also studied chaos by state feedback control strategy. Furthermore, theoretical results are numerically verified. Finally, we have also discussed the influence of prey refuge in the discrete model. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 163931222
- Full Text :
- https://doi.org/10.3934/math.2023768