一类间歇时滞扩散的概周期捕食系统的持久性

发布时间：2018-04-23 05:02

  本文选题：间歇扩散 + 概周期　； 参考：《广西师范大学学报(自然科学版)》2017年02期

【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。
[Abstract]:In order to study the phenomenon of inter population diffusion and predation more accurately, this paper, based on the common periodic unilateral diffusion pulse predator-prey model, takes into account that diffusion is not occurring at all times or at a certain time point, but is discontinuous, and due to the interference of a variety of factors, almost periodic is more effective than periodic. As a result, a kind of almost periodic predator-prey model for intermittent intermittent diffusion and diffusion time delay is studied. The sufficient and necessary conditions for the permanence of the system are obtained by using the comparative theory of the delay impulsive differential equation and the method of classification and discussion, and the numerical simulation is given by using Matlab.

【作者单位】： 新疆大学数学与系统科学学院;
【基金】：国家自然科学基金(11361059,11271312) 新疆维吾尔自治区自然科学基金(2014721014) 新疆高校科研项目(XJEDU2013I03)
【分类号】：O175
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本文编号：1790544