GLOBAL DYNAMICS OF p-LAPLACIAN REACTION-DIFFUSION EQUATIONS WITH APPLICATION TO VIROLOGY

被引：0
|
作者：
Bettioui, Benyounes [1 ,2 ]
El Hassani, Abdelaziz [1 ]
Hattaf, Khalid [1 ,2 ]
Achtaich, Naceur [1 ]
机构：
[1] Hassan II Univ Casablanca, Fac Sci Ben MSick, LAMS, POB 7955 Sidi Othman, Casablanca, Morocco
[2] CRMEF, Casablanca 20340, Morocco
来源：
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2022年
关键词：
reaction-diffusion; p-Laplacian; virology; global stability; STABILITY; MODEL;
D O I：
10.28919/cmbn/7625
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we propose a method to investigate the global stability of reaction-diffusion equations involving the p-Laplacian operator with and without delay. The proposed method is based on the direct Lyapunov method which consists to construct an appropriate Lyapunov functional. Furthermore, the method is applied to two biological systems from virology one without delay and the other with both delays in the infection and viral production.
引用
收藏
页数：10
相关论文
共 50 条
  • [31] Wolbachia infection dynamics by reaction-diffusion equations
    Huang MuGen
    Tang MoXun
    Yu JianShe
    SCIENCE CHINA-MATHEMATICS, 2015, 58 (01) : 77 - 96
  • [32] DYNAMICS OF DISSIPATIVE STRUCTURES IN REACTION-DIFFUSION EQUATIONS
    PANFILOV, AV
    KEENER, JP
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1995, 55 (01) : 205 - 219
  • [33] Wolbachia infection dynamics by reaction-diffusion equations
    HUANG Mu Gen
    TANG Mo Xun
    YU Jian She
    Science China(Mathematics), 2015, 58 (01) : 77 - 96
  • [34] Dynamics of Fractional Delayed Reaction-Diffusion Equations
    Liu, Linfang
    Nieto, Juan J.
    ENTROPY, 2023, 25 (06)
  • [35] Regularity of radial minimizers of reaction equations involving the p-Laplacian
    Cabre, Xavier
    Capella, Antonio
    Sanchon, Manel
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2009, 34 (04) : 475 - 494
  • [36] Regularity of radial minimizers of reaction equations involving the p-Laplacian
    Xavier Cabré
    Antonio Capella
    Manel Sanchón
    Calculus of Variations and Partial Differential Equations, 2009, 34 : 475 - 494
  • [37] GLOBAL WEAK SOLUTIONS TO A CHEMOTAXIS SYSTEM FOR VIRUS DYNAMICS WITH p-LAPLACIAN DIFFUSION AND SINGULAR SENSITIVITY
    Zhou, Yue
    Liu, Changchun
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2025,
  • [38] DYNAMICS OF THE p-LAPLACIAN EQUATIONS WITH NONLINEAR DYNAMIC BOUNDARY CONDITIONS
    Cheng, Xiyou
    Wei, Lei
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [39] Global dynamics of a reaction-diffusion malaria model
    Xin, Ming-Zhen
    Wang, Bin-Guo
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
  • [40] On global dynamics of reaction-diffusion systems at resonance
    Kokocki, Piotr
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 198
12345