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Stability and Bifurcation Analysis of a Commensal Model with Allee Effect and Herd Behavior.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . 2022, Vol. 32 Issue 14, p1-13. 13p. - Publication Year :
- 2022
-
Abstract
- In this paper, we study a commensal model with Allee effect and herd behavior. Firstly, the stability of all possible equilibria are investigated. Secondly, using the Sotomayor's theorem, we prove the existence of saddle-node bifurcation and pitchfork bifurcation. Finally, all the theoretical predictions on the bifurcation are verified by numerical simulations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALLEE effect
*COMMENSALISM
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 32
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 160531694
- Full Text :
- https://doi.org/10.1142/S0218127422502170