Existence-uniqueness and long time behavior for a class of nonlocal nonlinear parabolic evolution equations

被引：29

作者：

Ackleh, AS ^{[1
]}

Ke, L ^{[1
]}

机构：

[1] Univ Louisiana, Dept Math, Lafayette, LA 70504 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 12期

关键词：

nonlocal parabolic evolution equations; unbounded diffusion; population dynamics; asymptotic behavior; extinction; persistence;

D O I：

10.1090/S0002-9939-00-05912-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish existence and uniqueness of solutions for a general class of nonlocal nonlinear evolution equations. An application of this theory to a class of nonlinear reaction-diffusion problems that arise in population dynamics is presented. Furthermore, conditions on the initial population density for this class of problems that result in finite time extinction or persistence of the population is discussed. Numerical evidence corroborating our theoretical results is given.

引用

页码：3483 / 3492

页数：10

共 13 条

[1] Estimation of time dependent parameters in general parabolic evolution systems [J].