GLOBAL AND BLOWUP SOLUTIONS FOR GENERAL LOTKA-VOLTERRA SYSTEMS

被引：0

作者：

Chen, Shaohua ^{[1
]}

Xu, Runzhang ^{[2
]}

Yang, Hongtao ^{[2
]}

机构：

[1] Cape Breton Univ, Sch Sci & Technol, Sydney, NS B1P 6L2, Canada

[2] Harbin Engn Univ, Coll Sci, Harbin 150001, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 05期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Global and blowup solutions; degenerate parabolic systems; Lotka-Volterra model; REACTION-DIFFUSION SYSTEM; LINEAR PARABOLIC-SYSTEMS; DIVERGENCE FORM; DEGENERATE; EXISTENCE; EQUATIONS; DYNAMICS;

D O I：

10.3934/cpaa.2016012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with global and blowup solutions of the degenerate parabolic system u(t) = alpha(upsilon)del center dot (u(P del)u) vertical bar f (u, v) and upsilon t = beta(u)del center dot(upsilon(q)del upsilon) vertical bar g(u, upsilon) with homogeneous Dirichlet boundary conditions. We will give sufficient conditions such that the solutions either exist globally or blow up in a finite time. In special cases, a necessary and sufficient condition for the global existence is given.

引用

页码：1757 / 1768

页数：12

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