时间测度上一些种群动力学方程的周期解

Periodic Solutions of Several Population Dynamic Equations on Time Scales

在时间测度上研究一些具有时滞的种群动力学系统,利用Mawhin重合度理论建立了这一类抽象型系统的正周期解存在的充分性条件,从而使这些种群动力学模型的连续和离散时间情形,即微分方程和差分方程得到了统一研究.将所得到的结论可以应用到很多具体的生物数学模型上.

Several population dynamic systems with time delays are studied on time scales. By using the continuation theorem based on coincidence degree theory, Sufficient criterion are established for the existence of positive periodic solutions of the class systems, which has been unified and extensively applied in studying existence problems of these population models in differential equations and difference equations.