Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 31, Issue 13, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127421502047
Keywords
Saddle-node bifurcation; transcritical bifurcation; commensalism model; additive Allee effect; nonlinear growth rate
Funding
- Project of Education and Scientific Research for Middle and Young Teachers of Fujian [JAT201377]
- National Natural Science Foundation of China [11931016]
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This paper proposes a commensal model with nonlinear growth rate and additive Allee effect on the first and second species, respectively, and investigates the classification, type, and stability of all possible equilibria of the system. The presence of saddle-node bifurcation and transcritical bifurcation is proven by Sotomayor's theorem. An example and simulations are provided at the end to illustrate the main results.
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.
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