本文選題：間歇擴散 + 概周期　； 參考：《廣西師范大學(xué)學(xué)報(自然科學(xué)版)》2017年02期

【摘要】：為了更加真實貼切地研究種群間擴散以及捕食的現(xiàn)象,本文在常見的周期單邊擴散脈沖捕食-食餌模型的基礎(chǔ)上,考慮到擴散并非是時刻發(fā)生也不是在某個時間點發(fā)生而是間斷性進行,并且由于多種因素的干擾,概周期比周期性更能與實際貼合,因此研究了一類斑塊間食餌雙邊間歇擴散及擴散時滯的概周期捕食-食餌模型,運用時滯脈沖微分方程的比較理論以及分類討論的方法得到了系統(tǒng)持久性的充分必要條件,并借用Matlab給出了數(shù)值模擬。
[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.

【作者單位】： 新疆大學(xué)數(shù)學(xué)與系統(tǒng)科學(xué)學(xué)院;
【基金】：國家自然科學(xué)基金(11361059,11271312) 新疆維吾爾自治區(qū)自然科學(xué)基金(2014721014) 新疆高校科研項目(XJEDU2013I03)
【分類號】：O175
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本文編號：1790544