發(fā)布時(shí)間：2018-04-23 05:02

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

【摘要】：為了更加真實(shí)貼切地研究種群間擴(kuò)散以及捕食的現(xiàn)象,本文在常見(jiàn)的周期單邊擴(kuò)散脈沖捕食-食餌模型的基礎(chǔ)上,考慮到擴(kuò)散并非是時(shí)刻發(fā)生也不是在某個(gè)時(shí)間點(diǎn)發(fā)生而是間斷性進(jìn)行,并且由于多種因素的干擾,概周期比周期性更能與實(shí)際貼合,因此研究了一類斑塊間食餌雙邊間歇擴(kuò)散及擴(kuò)散時(shí)滯的概周期捕食-食餌模型,運(yùn)用時(shí)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(guó)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(xiàng)目(XJEDU2013I03)
【分類號(hào)】：O175
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本文編號(hào)：1790544