具有食饵避难所的Leslie-Gower捕食系统的捕获分析  

Harvesting analysis of a Leslie-Gower predator-prey system with prey refuge

作　　者：杨燕[1] 赵春[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2016年第4期1-5,共5页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(60972089)

摘　　要：研究一类具有食饵避难所的Leslie-Gower捕食系统的捕获问题.首先分析了系统平衡态的存在性和稳定性条件,然后获得了经济平衡点的存在性条件,并分析了避难所对经济平衡点的影响,最后利用Pontryagin最大值原理得到了达到最优捕获的最优平衡解.The harvesting problem for a Leslie-Gower predator-prey system with prey refuge is studied. Firstly, the existence and stability of equilibrium states are analyzed. And then the existence of the equilibrium point is obtained, and the effect of the refuge on the equilibrium point is analyzed. Finally, the optimal harvesting policy is obtained by using the Pontryagin＇s maximum principle.

关 键 词：Leslie-Gower捕食系统 食饵避难所 存在性 稳定性 平衡点 最优捕获 

分 类 号：O175[理学—数学]