Global solution for a diffusive epidemic model (HIV/AIDS) with an exponential behavior of source

被引:0
|
作者
Daddiouaissa, El Hachemi [1 ]
机构
[1] Kasdi Merbah Univ, UKM, Fac New Technol Informat & Commun, Route Ghardaia,BP 511, Ouargla 30000, Algeria
来源
关键词
Reaction-diffusion systems; Lyapunov function; global solution; ASYMPTOTIC-BEHAVIOR; EXISTENCE; SYSTEMS;
D O I
10.24193/subbmath.2023.4.15
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the question of global existence and uniform boundedness of nonnegative solutions of a system of reaction-diffusion equations with exponential nonlinearity, without any restriction on initial data, using maximum principle and Lyapunov function techniques.
引用
收藏
页码:885 / 894
页数:10
相关论文
共 50 条
  • [21] An Equilibrium Model of the African HIV/AIDS Epidemic
    Greenwood, Jeremy
    Kircher, Philipp
    Santos, Cezar
    Tertilt, Michele
    ECONOMETRICA, 2019, 87 (04) : 1081 - 1113
  • [22] Global Stability and Optimal Control of an HIV/AIDS Epidemic Model with Behavioral Change and Treatment
    Marsudi
    Trisilowati
    Suryanto, Agus
    Darti, Isnani
    ENGINEERING LETTERS, 2021, 29 (02) : 575 - 591
  • [23] Mathematical Epidemic Model of HIV/AIDS in Pakistan
    Tirmizi, Syed Rizwan Ul Haq
    Khan, Nasiruddin
    Tirmizi, Syed Talha
    Tirmizi, Syeda Amara
    BANGLADESH JOURNAL OF MEDICAL SCIENCE, 2019, 18 (01): : 14 - 23
  • [24] Boundedness and asymptotic behavior of solutions for a diffusive epidemic model
    Touil, Asma
    Youkana, Amar
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (04) : 970 - 978
  • [25] Fractal-fractional order dynamical behavior of an HIV/AIDS epidemic mathematical model
    Ali, Zeeshan
    Rabiei, Faranak
    Shah, Kamal
    Khodadadi, Touraj
    EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (01):
  • [26] Fractal-fractional order dynamical behavior of an HIV/AIDS epidemic mathematical model
    Zeeshan Ali
    Faranak Rabiei
    Kamal Shah
    Touraj Khodadadi
    The European Physical Journal Plus, 136
  • [27] Not an epidemic, but a global problem: the authorities' construction of HIV/AIDS in Russia
    Yasaveev, Iskender
    MEDICINE, 2020, 99 (21) : e18945
  • [28] An overview of the global HIV/AIDS epidemic, with a focus on the United States
    Gayle, H
    AIDS, 2000, 14 : S8 - S17
  • [29] Controlling the HIV/AIDS epidemic: current status and global challenges
    Demberg, Thorsten
    Robert-Guroff, Marjorie
    FRONTIERS IN IMMUNOLOGY, 2012, 3
  • [30] Global stability in a diffusive cholera epidemic model with nonlinear incidence
    Chen, Xiaodan
    Cui, Renhao
    APPLIED MATHEMATICS LETTERS, 2021, 111