摘要
研究了一类带扩散项的 n种群 Lotka- volterra非自治捕食 -竞争系统 ,应用 Liapunov泛函方法得到系统持久生存和存在唯一全局渐近稳定正概周期解的新的充分条件 ,并举例说明定理的应用 .
In this paper, we discuss a nonautonomous n species Lotka-Volterra prey-competition system with diffusion. By using Liapunov functionals, we obtain new sufficient conditions for persistence and that the system has a unique positive almost periodic solution which is globally asymptotically stable. An example shows application for our theorems.
出处
《数学研究》
CSCD
2004年第4期387-394,共8页
Journal of Mathematical Study
基金
国家自然科学基金资助项目 (1 0 1 71 0 56)
关键词
N种群捕食-竞争扩散系统
持久生存
全局渐近稳定性
概周期解
N-species Prey-Competition Dispersal Systems
Persistence
Global Asymptotic Stability
almost periodic solution
