具有三个成长阶段的单种群时滞模型的永久持续生存和全局稳定性

Permanence and Global Stability for Single-species Model with Three Life Stages and Time Delay

该文研究具有分布时滞和三个成长阶段的单种群模型,得到了系统永久持续生存的充分条件；同时通过构造Lyapunov函数得到了系统全局渐近稳定的充分条件；最后建立具体模型说明所得结果的可行性．

In this paper, a single-species model with distributed time delay in which individuals exhibit three life stages is considered. Sufficient conditions are obtained for the permanence of the system. Moreover, by using Lyapunov function, some conditions for global asymptotic stability of the system are investigated. An example satisfying the conditions of the main resuilts is given.