A COMMENSAL SYMBIOSIS MODEL WITH HOLLING TYPE FUNCTIONAL RESPONSE AND NON-SELECTIVE HARVESTING IN A PARTIAL CLOSURE  

作　　者：Yu Liu Xinyu Guan 

机构地区：[1]College of Math.and Computer Science, Fuzhou University

出　　处：《Annals of Applied Mathematics》2018年第2期153-164,共12页应用数学年刊（英文版）

基　　金：supported by the Natural Science Foundation of Fujian Province(2015J01012,2015J01019)

摘　　要：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.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.

关 键 词：commensal symbiosis model stability non-selective harvesting 

分 类 号：Q16[生物学—普通生物学]