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- Title
Stability and Bifurcation Analysis of a Commensal Model with Allee Effect and Herd Behavior.
- Authors
Cai, Junning; Pinto, Manuel; Xia, Yonghui
- 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.
- Subjects
ALLEE effect; COMMENSALISM; COMPUTER simulation
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2022, Vol 32, Issue 14, p1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127422502170