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- Title
Stability and Bifurcation Analysis of a Commensal Model with Additive Allee Effect and Nonlinear Growth Rate.
- Authors
Wei, Zhen; Xia, Yonghui; Zhang, Tonghua
- Abstract
In this paper, a commensal model with additive Allee effect on the first species and nonlinear growth rate on the second species is proposed. The classification, type and stability of all possible equilibria of the system are investigated. We also prove the presence of saddle-node bifurcation and transcritical bifurcation by Sotomayor's theorem. At the end of this study, an example and its simulations are given to illustrate our main results.
- Subjects
ALLEE effect; BIFURCATION diagrams; ADDITIVES
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2021, Vol 31, Issue 13, p1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127421502047