摘要
研究一类非自治的具有HollingⅡ类功能性反应且包含时变时滞与多个无穷时滞的两种群n斑块捕食扩散系统的持久性与稳定性.利用比较原理,结合构造Lyapunov泛函的方法,得到了保证该系统永久持续生存和任意正解全局渐近稳定的充分性条件.
Persistence and stability of a nonautonomous two-species n-patches predator-prey dispersal system with time varying delay and multiple infinite delays and Holling type-II functional response were studied.By using of the comparison theorem and constructing suitable Lyapunov functional,sufficient conditions were obtained for guaranteeing the permanence of the system and the globally asymptotic stability of any positive solution.
出处
《纯粹数学与应用数学》
CSCD
2010年第2期345-352,共8页
Pure and Applied Mathematics
基金
国家自然科学基金(10726062)
福建省自然科学基金(S0750007)
福州大学科技发展基金(2007-XQ-18)
福州大学引进人才基金(0030824983)
关键词
时变时滞与无穷时滞
扩散
永久持续生存
全局渐近稳定
time varying and infinite delays
dispersion
permanence
globally asymptotic stability
