On the dynamics of a nonlinear reaction-diffusion duopoly model

被引：14

作者：

Rionero, Salvatore ^{[1
]}

Torcicollo, Isabella ^{[2
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Complesso Monte S Angelo,Via Cinzia, Naples, Italy

[2] CNR, Ist Applicaz Calcolo Mauro Picone, Via P Castellino 111, Naples, Italy

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2018年 / 99卷

关键词：

Binary reaction-diffusion system of PDEs; Nonlinear duopoly game; Nonlinear stability; L-2-STABILITY ANALYSIS; COURNOT DUOPOLY; GAME; STABILITY;

D O I：

10.1016/j.ijnonlinmec.2017.11.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The self and cross diffusion action on the dynamic of the nonlinear continuous duopoly model introduced in Torcicollo (2016), is investigated. Under Robin boundary conditions the longtime behavior and the linear and nonlinear stability of the steady states, are studied. The self and cross diffusion parameters guaranteeing the spreading of the firms outputs, are characterized. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：105 / 111

页数：7

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