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
收藏
页码：105 / 111
页数：7
相关论文
共 50 条
  • [1] On the nonlinear dynamics of an ecoepidemic reaction-diffusion model
    Capone, Florinda
    De Luca, Roberta
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2017, 95 : 307 - 314
  • [2] A SOLVABLE NONLINEAR REACTION-DIFFUSION MODEL
    HONGLER, MO
    LIMA, R
    [J]. PHYSICS LETTERS A, 1995, 198 (02) : 100 - 104
  • [3] Spatiotemporal dynamics of a reaction-diffusion epidemic model with nonlinear incidence rate
    Cai, Yongli
    Wang, Weiming
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2011,
  • [4] A note on a nonlocal nonlinear reaction-diffusion model
    Walker, Christoph
    [J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (11) : 1772 - 1777
  • [5] Dynamics of Backward Euler's Method for a Nonlinear Reaction-diffusion Model with Delay
    Zhang, Laixi
    Shen, Xiaolong
    Long, Hua
    [J]. 2011 INTERNATIONAL CONFERENCE ON AEROSPACE ENGINEERING AND INFORMATION TECHNOLOGY (AEIT 2011), 2011, : 129 - 134
  • [6] NONLINEAR DYNAMICS OF REACTION-DIFFUSION SYSTEMS - ANALYSIS AND COMPUTATIONS
    WILHELMSSON, H
    ETLICHER, B
    [J]. FUSION TECHNOLOGY, 1992, 22 (04): : 413 - 424
  • [7] Propagation dynamics for a reaction-diffusion system with nonlinear competition
    Ma, Manjun
    Chen, Yangwei
    Han, Yazhou
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 81
  • [8] Global dynamics of a reaction-diffusion malaria model
    Xin, Ming-Zhen
    Wang, Bin-Guo
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
  • [9] Stability of a Continuous Reaction-Diffusion Cournot-Kopel Duopoly Game Model
    Salvatore Rionero
    Isabella Torcicollo
    [J]. Acta Applicandae Mathematicae, 2014, 132 : 505 - 513
  • [10] Complex dynamics of a reaction-diffusion epidemic model
    Wang, Weiming
    Cai, Yongli
    Wu, Mingjiang
    Wang, Kaifa
    Li, Zhenqing
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (05) : 2240 - 2258
12345