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Dynamics of a nonlinear discrete predator-prey system with fear effect.
- Source :
- AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 10, p23953-23973, 21p
- Publication Year :
- 2023
-
Abstract
- In this paper, we investigate a nonlinear discrete prey-predator system with fear effects. The existence, local stability and boundedness of positive equilibrium point are discussed. Using the center manifold theorem and bifurcation theory, the conditions for the existence of flip bifurcation and Neimark-Sacker bifurcation in the interior of R²<subscript>+</subscript> are established. Furthermore, the numerical simulations not only show complex dynamical behaviors, but also verify our analysis results. A feedback control strategy is employed to control bifurcation and chaos in the system. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 171945833
- Full Text :
- https://doi.org/10.3934/math.20231221