安徽大学学报（自然科学版）2011，Vol.35Issue(6)：24-29,6.
N+M维Lotka-Volterra捕食—竞争时滞系统的渐近性
Asmptotic behavior of N+M dimensionsLotka-Volterra predator-competition delay system
摘要
Abstract
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Key words
predator-competition delay system/ Lyapunov function/ persistence/ global asymptotic stability分类
数理科学引用本文复制引用
郑秀亮,唐妍霞..N+M维Lotka-Volterra捕食—竞争时滞系统的渐近性[J].安徽大学学报（自然科学版）,2011,35(6):24-29,6.基金项目
国家自然科学基金资助项目(60671063,10071048) （60671063,10071048）
河北省教育厅科学研究基金资助项目(Z2003316) （Z2003316）
