Back to Search
Start Over
STABILITY AND BIFURCATION OF A PREDATOR–PREY SYSTEM WITH MULTIPLE ANTI-PREDATOR BEHAVIORS.
- Source :
-
Journal of Biological Systems . Jun2024, Vol. 32 Issue 2, p889-919. 31p. - Publication Year :
- 2024
-
Abstract
- In this paper, a predator–prey system with multiple anti-predator behaviors is developed and studied, where not only the prey may spread between patches but also the fear effect and counter-attack behavior of the prey are taken into account. First, the stability and existence of coexistence equilibria are presented. The unique positive equilibrium may be a saddle-node or a cusp of codimension 2. Then, various transversality conditions of bifurcations such as saddle-node bifurcation, transcritical bifurcation, Hopf bifurcation and Bogdanov–Takens bifurcation are obtained. Moreover, compared with a single strategy, the multiple anti-predator strategies are more beneficial to the persistence and the population density of prey. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02183390
- Volume :
- 32
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Biological Systems
- Publication Type :
- Academic Journal
- Accession number :
- 177433317
- Full Text :
- https://doi.org/10.1142/S021833902450030X