一类含时滞和扩散项的偏生态模型的振动性  

Oscillation in a partial population equation with diffusion and delay

作　　者：王长有[1] 

机构地区：[1]重庆邮电大学应用数学研究所,重庆400065

出　　处：《安徽大学学报（自然科学版）》2007年第4期1-4,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10371083);重庆市教委优秀青年基金资助项目(D2005-37)

摘　　要：研究了一类含时滞和扩散项的偏生态模型解的振动性,利用平均法,通过使用偏泛函微分方程上、下解思想和泛函微分方程振动性理论,获得了其解的正性和关于正平衡态振动的充分条件,为讨论时滞偏微分方程解的振动性提供了一种有效方法,推广了文[9,10]的结果.In this paper, by using upper - and lower - solution method of partial functional differential equations and oscillation theory of functional differential equation, the oscillation of a population equation with diffusion and delay is studied and a sufficient condition for all positive solution of the equation to oscillate about the positive equilibrium is obtained. We give a effective method for the study of oscillation in partial differential equation with delay. Some known results are extended. Finally, a model arising from ecology is given to illustrate the obtained results.

关 键 词：时滞 扩散 上、下解 偏生态模型 振动性 

分 类 号：O175.7[理学—数学]