Fengde Chen, Yanbo Chong, Shangming Chen, "Global Stability of a Commensal Symbiosis Model With Holling Ii Functional Response and Feedback Controls," WSEAS Transactions on Systems and Control, vol. 17, pp. 279-286, 2022, DOI:10.37394/23203.2022.17.32
Fengde Chen, Yanbo Chong, Shangming Chen. Global Stability of a Commensal Symbiosis Model With Holling Ii Functional Response and Feedback Controls.
WSEAS Transactions on Systems and Control. 2022;17:279-286. 10.37394/23203.2022.17.32
WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 17, 2022
Global Stability of a Commensal Symbiosis Model With Holling Ii Functional Response and Feedback Controls
Authors: , ,
Abstract: A commensal symbiosis model with Holling II functional response and feedback controls is proposed and studied in this paper. The system admits four equilibria, and three boundary equilibria are unstable, only positive equilibrium is locally asymptotically stable. By applying the comparison theorem of differential equation, we show that the unique positive equilibrium is globally attractive. Numeric simulations show the feasibility of the main result.
Keywords:
Commensalism, Feedback controls, Holling II functional response, Comparison theorem, Global attractivity
Pages: 279-286 WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 17, 2022, Art. #32 DOI: 10.37394/23203.2022.17.32
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