摘要
研究一类对两种群均有捕获的具有毒素作用的时滞竞争系统.通过构造适当的Lyapunov泛函以及借助微分不等式和微分方程比较原理,得到了保证系统的两种群持久和绝灭的充分性条件.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 differential inequality theory and constructing suitable Lyapunov function, the effect of havesting on two species is investigated, sufficient conditions which ensure the permanence or ex tinction of the species are obtained. After that, the effect of harvesting to economic profit is consid ered, and the capture efforts of two species are investigated in order to obtain the maximum economic orofit.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第5期557-562,共6页
Journal of Fuzhou University(Natural Science Edition)
基金
福建省自然科学基金资助项目(2011J01007)
福建省科技创新平台计划资助项目(2009J1007)
