Back to Search
Start Over
Bifurcation analysis of a diffusive predator–prey model with fear effect.
- Source :
-
Mathematical Methods in the Applied Sciences . May2024, p1. 20p. 7 Illustrations, 1 Chart. - Publication Year :
- 2024
-
Abstract
- In this paper, a diffusive predator–prey system with fear factor response subject to Neumann boundary conditions is considered. Bifurcations at the boundary equilibria of the corresponding ODE are confirmed by Sotomayor's theorem. Detailed bifurcation analysis shows that the reaction–diffusion system undergoes Hopf bifurcation and steady‐state bifurcation. The bifurcation direction and the stability of the bifurcating periodic solutions are also given. Finally, numerical simulation results are carried out to verify the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 177390389
- Full Text :
- https://doi.org/10.1002/mma.10198