毒素作用下两种群竞争系统的捕获分析  

On a two-species competition system with toxic substance and harvesting

作　　者：张娜[1] 吴亭[2] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108 [2]闽江学院数学系,福建福州350108

出　　处：《福州大学学报（自然科学版）》2010年第5期649-652,共4页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省科技创新资助项目(2009J1007);闽江学院科技启动资助项目(YKQ0800)

摘　　要：提出并研究一类对两种群均有捕获的具有毒素作用的竞争系统.通过数学分析的方法研究了捕获对竞争系统的两个种群的影响,得到了保证系统的两种群持久和绝灭的充分性条件.其后,进一步考虑捕获对经济效益的影响,得到了保证系统获得最佳经济利润时的捕捞努力量.A two -species competition system with toxic substance and harvesting is proposed and studied. By using the mathematical analysis method, the effect of havesting on two species is investigated, sufficient conditions which ensure the permanence or extinction of the species are obtained. After that, the effect of harvesting to economic profit is considered, and the capture efforts of two species are investigated in order to obtain the maximum economic profit.

关 键 词：捕获 毒素 竞争系统 经济效益 

分 类 号：O175.12[理学—数学]