摘要
持续生存概念是种群生态系统稳定性的一个重要描述,而研究竞争种群共存的问题是种群生态学的一个重要问题,考虑非自治的两种群L otka-vo lterra周期系数的时滞扩散摸型,通过构造李亚普诺夫泛函,微分不等式等获得了其一致持续生存及正周期解存在与全局渐近稳定的充分条件.
The persistence concept is one of the important discriptions about stability in the species ecological models, but the study about the competition species coexistence is the important question in the species ecology. A nonautonomous Two-specles competition diffusive model with continous delays is studied. It is shown that model is uniform persistence under some appropriate conditions, sufficient conditions are established the existence of a positive periodic solution which is global asymptotic stability by differential inequality and lyapunov functional.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第12期184-189,共6页
Mathematics in Practice and Theory
关键词
一致持续生存
时滞
扩散
正周期解
全局渐近稳定
uniform persistence
delay
diffusion
positive periodic solution
global asymptotic stable
