一类具有时滞的竞争系统的持久性与全局稳定性  

Persistence and Global Stability of Lotka-Volterra Competitive System with Time Delay

作　　者：王晖[1] 盛婷婷[1] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古通辽028000

出　　处：《内蒙古民族大学学报（自然科学版）》2012年第4期384-387,共4页Journal of Inner Mongolia Minzu University：Natural Sciences

摘　　要：本文考虑了种群幼仔的捕食能力及其数量对种群密度的影响继而研究了一类具有时滞的Lot-ka-Volterra竞争系统.在文中证明了系统在一定的条件下是持续生存的,并通过构造适当的Lyapunov泛函,给出了系统全局稳定性的充分条件.从而得出在生态系统中,种群在时间滞后的影响下是可持续生存的.In this paper,we consider the permanence and global stability of Lotka-Volterra competitive system with time delay because of a population of predation and the number of pups on the population density.The uniform permanence of the system under certain conditions is proved,and by constructing appropriate Lyapunov function,sufficient conditions are obtained to ensure the global stability of the system.So,the population under the influence of time lag is sustainable living in the ecosystem.

关 键 词：时滞 持久性 LYAPUNOV泛函 全局稳定性 

分 类 号：O175.13[理学—数学]