人口动力学中一类含时滞周期反应-扩散方程的正周期解分歧

THE BIFURCATION OF POSITIVE PERIODIC SOLUTION FOR A PERIODIC REACTION-DIFFUSION EQUATION WITH DELAY ARISING FORM POPULATION DYNAMICS MODEL

本文研究人口动力学中一类含时滞周期反应-扩散方程的正周期解问题;利用紧算子的全局分歧结果给出了这个方程正周期解存在的充分必要条件。

In this paper the positive periodic solution problem for a periodic reaction-diffusion equation with delay arising from population dynamics models is considered. We use the global bifurcation re-sult of compact operators to get a sufficient and necessary condition for the existence of positive pe-riodic solutions.