摘要
研究了一类具有时滞的、增长函数为Tissiet型的微生物连续培养模型,讨论了解的存在性、有界性和平衡点的局部稳定性,利用Lyapunov-LaSalle不变性原理证明了边界平衡点的全局渐近稳定性.
Based on some biological meanings,a class of Chemostat dynamical model with inhibitory exponential substrate uptake and a time delay is considered. A detailed theoretical analysis about existence and boundedness of its solutions and local asymptotic stability of its equilibria are carried out. Using classical Lyapunov-LaSalle invariance principle,it is shown that,while the interior equilibrium is not feasible,the washout equilibrium is globally asymptotically stable for any time delay.
出处
《科学技术与工程》
2010年第16期3816-3819,共4页
Science Technology and Engineering
基金
延安大学重点科研基金项目资助
