中文摘要：

为了更加真实贴切地研究种群间扩散以及捕食的现象,本文在常见的周期单边扩散脉冲捕食-食饵模型的基础上,考虑到扩散并非是时刻发生也不是在某个时间点发生而是间断性进行,并且由于多种因素的干扰,概周期比周期性更能与实际贴合,因此研究了一类斑块间食饵双边间歇扩散及扩散时滞的概周期捕食-食饵模型,运用时滞脉冲微分方程的比较理论以及分类讨论的方法得到了系统持久性的充分必要条件,并借用Matlab给出了数值模拟。

英文摘要：

As the diffusion of migratory species between paches is neither purely continuous nor purely inpulsive in time at the base of common periodic predator-prey model with prey inpulsively unilateral diffusion and diverse perturbations exist, almost periodic parameters are more realistic than periodic parameters. In order to study the phenomena of diffusion and predation between species relevantly, an almost periodic predator-prey system with intermittent dispersal and dispersal delays between patches is studied in this paper. By applying the comparison theorem of impulsive differential equation and the method of classified discussion, some dufficient and necessary conditions on the permanence of the system are presented. Finally, numerical simulations are conduted with Matlab.