摘要
讨论了一类具有时滞的单种群扩散模型,其中扩散依赖于时滞,利用同伦技术得到了模型存在正平衡点和系统一致持续生存的充分条件;同时通过构造适当的liapunov函数证明了系统正平衡点是全局渐渐稳定的.
In this paper,a single-species with time delays and diffusion is investigated, where diffusions depended on constant time delay.It has a positive equilibrium by homotopy techniques.The sufficient conditions for the permanence of the system are obtained.Asol,by using appropriate Liapunov function,we proved the positive equilibrium is global asymptotic stability.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第6期180-185,共6页
Mathematics in Practice and Theory
关键词
时滞
扩散
一致持续生存
同伦技术
全局渐进稳定性
time delay
diffusion
homotopy techniques
permanence
global asymptotic stability
