A Commensal Symbiosis Model with Holling Type Functional Response and Non-Selective Harvesting in a Partial Closure
Year: 2018
Author: Yu Liu, Xinyu Guan
Annals of Applied Mathematics, Vol. 34 (2018), Iss. 2 : pp. 153–164
Abstract
A two species commensal symbiosis model with Holling type functional response and non-selective harvesting in a partial closure is considered. Local and global stability property of the equilibria are investigated. Depending on the the area available for capture, we show that the system maybe extinct or one of the species will be driven to extinction, while the rest one is permanent, or both of the species coexist in a stable state. The dynamic behaviors of the system is complicated and sensitive to the fraction of the harvesting area.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2018-AAM-20569
Annals of Applied Mathematics, Vol. 34 (2018), Iss. 2 : pp. 153–164
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: commensal symbiosis model stability non-selective harvesting.