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A Generalized Beddington Host–Parasitoid Model with an Arbitrary Parasitism Escape Function.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Aug2024, Vol. 34 Issue 10, p1-43. 43p. - Publication Year :
- 2024
-
Abstract
- This research delves into the generalized Beddington host–parasitoid model, which includes an arbitrary parasitism escape function. Our analysis reveals three types of equilibria: extinction, boundary, and interior. Upon examining the parameters, we discover that the first two equilibria can be globally asymptotically stable. The boundary equilibrium undergoes period-doubling bifurcation with a stable two-cycle and a transcritical bifurcation, creating a threshold for parasitoids to invade. Furthermore, we determine the interior equilibrium's local stability and analytically demonstrate the period-doubling and Neimark–Sacker bifurcations. We also prove the permanence of the system within a specific parameter space. The numerical simulations we conduct reveal a diverse range of dynamics for the system. Our research extends the results in [Kapçak et al., 2013] and applies to a broad class of the generalized Beddington host–parasitoid model. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SYSTEM dynamics
*COMPUTER simulation
*EQUILIBRIUM
*PARASITOIDS
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 34
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 179082502
- Full Text :
- https://doi.org/10.1142/S0218127424501256