进而，利用李雅普·诺夫函数和比较定理确定了持续生存的条件。
Conditions for permanence is established via the method of comparison involving multiple Liapunov functions.
研究了一类具有时滞的基于比率型三种群捕食者-食饵系统，给出了系统持续生存的条件。
A three-species ratio-dependent predator-prey model with time delays is investigated, conditions are given for persistence of the system.
给出了诱导控制区域与使系统永久持续生存的最终有界区域的关系，得到了使系统永久持续生存的诱导控制律。
The relation between induction control domain and ultimately bounded domain which makes the system persist is given. Some induction control laws which make the system permanent are obtained.
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