一类慢扩散互惠模型解的动力学性质  

DYNAMICAL PROPERTIES OF SOLUTIONS FOR A CLASS OF SLOW DIFFUSIVE RECIPROCAL MODEL

作　　者：李彤羚 徐莉[1] 罗亚云 Li Tongling;Xu Li;Luo Yayun(School of Science,Nantong University,Nantong 226019)

机构地区：[1]南通大学理学院

出　　处：《南京大学学报（数学半年刊）》2018年第1期70-84,共15页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：2016大学生实践创新项目(201610304005Z)

摘　　要：本文主要研究一类具连续时滞的慢扩散三种群互助模型.先研究了一般的含时滞的抛物型方程组,利用上下解方法及相应的单调迭代方法,得到该系统存在唯一解及正平衡解,且该平衡解全局渐近稳定,再将结果运用到三种群互助模型上.In this paper,we study a class of slow-diffusion three-species mutual aid model with con-tinuous delay.Firstly,we study the general parabolic equations with time delay.By using the upper and lower solutions and the corresponding monotone iterative method,we obtain the unique solution and positive equilibrium solution of the system,and the global solution of the equilibrium solution is asymptotically stable,and then we apply the results to the three groups of mutual aid model.

关 键 词：三种群互助模型 连续时滞 上下解 渐近性 

分 类 号：O175.29[理学—数学]