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
收藏
页码：91 / 101
页数：11
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