一类具有存放率的多滞量种群动力学模型的周期解与稳定性

Stability and Periodic Solution for a Class of Several Delays Population Equations with Depositings

对一类带有存放率的多滞量种群动力学模型进行了研究,利用微分方程比较原理、重合度理论中的延拓定理和构造适当的Lyapunov函数,得到了一组保证系统持久性和相应周期系统存在唯一全局渐近稳定的正周期解的充分条件.

A class of several delays population equations with depositings is investigated.By applying comparison theorem of differential equation,Mawhin＇s continuation theorem of coincidence degree theory and constructing a suitable Lyapunov function,a set of easily verifiable sufficient conditions are obtained to guarantee the persistence and global asymptotic stability and existence unique of positive periodic solutions of the system.