N+M维Lotka—Volterra捕食—竞争时滞系统的渐近性  

Asmptotic behavior of N+M dimensions Lotka-Volterra predator-competition delay system

作　　者：郑秀亮[1] 唐妍霞[1] 

机构地区：[1]河北北方学院理学院,河北张家口075000

出　　处：《安徽大学学报（自然科学版）》2011年第6期24-29,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60671063;10071048);河北省教育厅科学研究基金资助项目(Z2003316)

摘　　要：研究了N+M维Lotka—Volterra捕食—竞争时滞系统的持久性和全局渐近稳定性,分别利用比较原理和构造Lyapunov函数方法得到了系统持久生存与全局渐近稳定性的充分条件,举例说明定理的可行性,且利用matlab绘出图像加以验证.N＋M dimension nonautonomous lotka-volterra predator-competition delay system was investigated,sufficient conditions were derived for uniform persistence of this by using the comparison;when the system was a periodic system,sufficient conditions were obtained that guarantee the existence,uniqueness and global attractivity of the positive periodic solution by applying the Brouwer fixed theorem and the method of constructing Lyapunov function,theorems were realized by giving an example and picture was drawn by using software of matlab.

关 键 词：捕食—竞争时滞系统 LYAPUNOV函数 持久生存 全局渐近稳定性 

分 类 号：O175[理学—数学]