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| A COMMENSAL SYMBIOSIS MODEL WITH HOLLING TYPE FUNCTIONAL RESPONSE AND NON-SELECTIVE HARVESTING IN A PARTIAL CLOSURE |
| Yu Liu,Xinyu Guan |
| (College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China) |
| DOI： |
| 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. |
| Key words: commensal symbiosis model; stability; non-selective harvesting |