LI Dong-mei, LI Ye, SUN Jia-yi. Persistence and Global Stability for Diffusive Competition System with Time Delay and Michaelis-menten Type Functional Response[J]. 2010, 15(2): 102-105.
LI Dong-mei, LI Ye, SUN Jia-yi. Persistence and Global Stability for Diffusive Competition System with Time Delay and Michaelis-menten Type Functional Response[J]. 2010, 15(2): 102-105.DOI:
具有Michaelis-menten功能性反应的时滞扩散竞争系统稳定性分析
摘要
研究了一类含分布时滞和Michaelis-menten型功能性反应的扩散模型
利用微分方程比较定理和Liapunov函数方法
得到了系统是一致持久和全局渐近稳定的充分条件.
Abstract
In this paper
a diffusion model with continuous time delay and Michaelis-menten type functional response is studied.Some sufficient conditions for the persistence and global stability about system are obtained by using the comparison theorem and Liapunov functional method.