具有巢寄生行为和阶段结构的两种群模型分析

Analysis of a two-species model with nest parasitism and stage structure

研究具有巢寄生行为的两种群模型,两个种群都具有阶段结构.利用微分方程比较定理得到该系统持续生存的充分性条件,进一步利用Liapunov函数方法,证明了在适当的条件下,周期解及概周期解的全局渐近稳定性.

This paper considered a two-species mode1 with nest parasitism,where both the two group are devided to two stages.By using comparison theorem of di？erential equation,we obtained su？cient conditions for permanence of the system.Furthermore,globally asymptotical stability of periodic solution and al-most periodic solution have been proved under the appropriate conditions by using Liapunov function method.