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

共 50 条

[1] NONLINEAR REACTION-DIFFUSION MODELS FOR INTERACTING POPULATIONS
WILLIAMS, SA
CHOW, PL
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (05): : A529 - A529
[2] On the stability of reaction-diffusion models with nonlocal delay effect and nonlinear boundary condition
Guo, Shangjiang
Li, Shangzhi
[J]. APPLIED MATHEMATICS LETTERS, 2020, 103
[3] Stability of Equilibrium Solutions of a Nonlinear Reaction-Diffusion Equation
Hernandez Melo, Cesar Adolfo
Demetrio, Luiz Felipe
[J]. BOLETIN DE MATEMATICAS, 2020, 27 (01): : 1 - 14
[4] On the nonlinear stability of an epidemic SEIR reaction-diffusion model
Capone F.
de Cataldis V.
de Luca R.
[J]. Ricerche di Matematica, 2013, 62 (1) : 161 - 181
[5] Nonlinear stability analysis of a chemical reaction-diffusion system
Gentile, Maurizio
Torcicollo, Isabella
[J]. RICERCHE DI MATEMATICA, 2024, 73 (SUPPL 1) : 189 - 200
[6] Integrable nonlinear reaction-diffusion population models for fisheries
Broadbridge, P.
Hutchinson, A. J.
[J]. APPLIED MATHEMATICAL MODELLING, 2022, 102 : 748 - 767
[7] On the linear stability of some finite difference schemes for nonlinear reaction-diffusion models of chemical reaction networks
Muyinda, Nathan
De Baets, Bernard
Rao, Shodhan
[J]. COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, 2018, 9 (01) : 121 - 140
[8] Reaction-diffusion processes with nonlinear diffusion
Krapivsky, P. L.
[J]. PHYSICAL REVIEW E, 2012, 86 (04)
[9] On the Stability of Finite Difference Schemes for Nonlinear Reaction-Diffusion Systems
Muyinda, Nathan
De Baets, Bernard
Rao, Shodhan
[J]. INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
[10] Nonlinear stability analysis of the full Brusselator reaction-diffusion model
I. Elyukhina
[J]. Theoretical Foundations of Chemical Engineering, 2014, 48 : 806 - 812

← 1 2 3 4 5 →