Global stability of virus dynamics model with capsids and two routes of infection

被引：0
作者：
Elaiw, A. M. [1 ]
Almalki, S. E. [1 ]
Hobiny, A. D. [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2022年 / 12卷 / 01期
关键词：
viral infection; global stability; Lyapunov function; capsids; immune system; numerical simulations; TO-CELL SPREAD; DIFFERENTIAL DRUG EFFICACY; DNA-CONTAINING CAPSIDS; HEPATITIS-B INFECTION; HTLV-I INFECTION; MATHEMATICAL-MODEL; POPULATION-DYNAMICS; THRESHOLD DYNAMICS; VIRAL DYNAMICS; HIV-1;
D O I：
10.1504/IJDSDE.2022.122525
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the global dynamics of within-host viral infection model with virus DNA- containing capsids. The effect of antibody immune response has been considered. The uninfected cell become infected due to its contacts with a virus or an infected cell. The incidence rate is given by saturation. The well-posedness of the model is establised. We utilise Lyapunov method and apply LaSalle's invariance principle to prove the global stability of the equilibria. We support our theoretical results by numerical simulations.
引用
收藏
页码：57 / 74
页数：18
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  • [1] STABILIZATION IN A CHEMOTAXIS MODEL FOR VIRUS INFECTION
    Bellomo, Nicola
    Tao, Youshan
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (02): : 105 - 117
  • [2] Mathematical model of immune response to hepatitis B
    Chenar, F. Fatehi
    Kyrychko, Y. N.
    Blyuss, K. B.
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 2018, 447 : 98 - 110
  • [3] A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
    Culshaw, RV
    Ruan, SG
    Webb, G
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 2003, 46 (05) : 425 - 444
  • [4] Analysis of General Humoral Immunity HIV Dynamics Model with HAART and Distributed Delays
    Elaiw, A. M.
    Elnahary, E. Kh.
    [J]. MATHEMATICS, 2019, 7 (02)
  • [5] Stability of CHIKV infection models with CHIKV-monocyte and infected-monocyte saturated incidences
    Elaiw, A. M.
    Almalki, S. E.
    Hobiny, A. D.
    [J]. AIP ADVANCES, 2019, 9 (02)
  • [6] Stability of delayed HIV dynamics models with two latent reservoirs and immune impairment
    Elaiw, A. M.
    Raezah, A. A.
    Azoz, S. A.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [7] Stability of an adaptive immunity pathogen dynamics model with latency and multiple delays
    Elaiw, A. M.
    AlShamrani, N. H.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (16) : 6645 - 6672
  • [8] Effect of cellular reservoirs and delays on the global dynamics of HIV
    Elaiw, A. M.
    Elnahary, E. K.
    Raezah, A. A.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [9] Stability of general virus dynamics models with both cellular and viral infections and delays
    Elaiw, A. M.
    Raezah, A. A.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (16) : 5863 - 5880
  • [10] Stability of a general delay-distributed virus dynamics model with multi-staged infected progression and immune responselee
    Elaiw, A. M.
    AlShamrani, N. H.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (03) : 699 - 719
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