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Bifurcation Analysis of a Predator–Prey Model with Alternative Prey and Prey Refuges.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Feb2024, Vol. 34 Issue 2, p1-10. 10p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study the codimensions of Hopf bifurcation and Bogdanov–Takens bifurcation of a predator–prey model with alternative prey and prey refuges, which was proposed by Chen et al. [2023]. The results show that the predator–prey model can undergo a supercritical Hopf bifurcation or a Bogdanov–Takens bifurcation of codimension two under certain parameter conditions. It means that there are some predator–prey models with an alternative prey and prey refuges which have a limit cycle or a homoclinic loop. Moreover, it is also shown that the codimension of Hopf bifurcation is at most one and codimension of Bogdanov–Takens bifurcation is at most two. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOPF bifurcations
*LIMIT cycles
*LOTKA-Volterra equations
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 34
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 176010788
- Full Text :
- https://doi.org/10.1142/S0218127424500214