Nonlinear Stability for Reaction-Diffusion Models

被引：0

作者：

Mulone, G. ^{[1
]}

机构：

[1] Citta Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

NEW TRENDS IN FLUID AND SOLID MODELS | 2010年

关键词：

LYAPUNOV FUNCTIONS; BENARD-PROBLEM; SYSTEMS; CONVECTION; CONVERGENCE; COMPETITION; EQUATIONS; LOTKA;

D O I：

10.1142/9789814293228_0011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some linear and nonlinear stability results for constant solutions to reaction-diffusion models are presented. Optimal stability results with the reduction method (based on the classical theory of eigenvalues-eigenvectors) are recalled. Global stability has been obtained for the positive equilibria of two competition models and for the endemic state of an epidemic model with diffusion.

引用

页码：91 / 101

页数：11