GLOBAL STABILITY FOR A HIV/AIDS MODEL

被引：14
|
作者：
Silva, Cristiana J. [1 ]
Torres, Delfim F. M. [1 ]
机构：
[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2018年 / 67卷 / 01期
关键词：
HIV/AIDS mathematical model; global stability; Lyapunov functions;
D O I：
10.1501/Commual_0000000833
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate global stability properties of a HIV/AIDS population model with constant recruitment rate, mass action incidence, and variable population size. Existence and uniqueness results for disease-free and endemic equilibrium points are proved. Global stability of the equilibria is obtained through Lyapunov's direct method and LaSalle's invariance principle.
引用
收藏
页码：93 / 101
页数：9
相关论文
共 50 条
  • [1] GLOBAL STABILITY OF AN HIV/AIDS MODEL WITH STOCHASTIC PERTURBATION
    Yang, Junyuan
    Wang, Xiaoyai
    Li, Xuezhi
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2011, 4 (02) : 349 - 358
  • [2] Global stability for an HIV/AIDS epidemic model with different latent stages and treatment
    Huo, Hai-Feng
    Feng, Li-Xiang
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (03) : 1480 - 1489
  • [3] Stability of a fractional HIV/AIDS model
    Silva, Cristiana J.
    Torres, Delfim F. M.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2019, 164 : 180 - 190
  • [4] Stochastic global exponential stability of disease-free equilibrium of HIV/AIDS model
    H. El-Metwally
    M. A. Sohaly
    I. M. Elbaz
    The European Physical Journal Plus, 135
  • [5] Stochastic global exponential stability of disease-free equilibrium of HIV/AIDS model
    El-Metwally, H.
    Sohaly, M. A.
    Elbaz, I. M.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (10):
  • [6] The Volterra-Lyapunov matrix theory for global stability analysis of a model of the HIV/AIDS
    Zahedi, Moosarreza Shamsyeh
    Kargar, Narges Shayegh
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2017, 10 (01)
  • [7] 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
  • [8] Global stability for a 2n+1 dimensional HIV/AIDS epidemic model with treatments
    Otunuga, Olusegun Michael
    MATHEMATICAL BIOSCIENCES, 2018, 299 : 138 - 152
  • [9] Stability analysis of an HIV/AIDS epidemic model with treatment
    Cai, Liming
    Li, Xuezhi
    Ghosh, Mini
    Guo, Baozhu
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 229 (01) : 313 - 323
  • [10] Modelling and stability of HIV/AIDS epidemic model with treatment
    Huo, Hai-Feng
    Chen, Rui
    Wang, Xun-Yang
    APPLIED MATHEMATICAL MODELLING, 2016, 40 (13-14) : 6550 - 6559
12345