Analysis of a stochastic HIV model with cell-to-cell transmission and Ornstein-Uhlenbeck process

被引:10
|
作者
Liu, Qun [1 ]
机构
[1] Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat, MOE, Changchun 130024, Jilin, Peoples R China
基金
中国国家自然科学基金;
关键词
INFECTION MODEL; DENSITY-FUNCTION; GLOBAL DYNAMICS; VIRUS DYNAMICS; VIRAL DYNAMICS; EPIDEMIC MODEL; STABILITY; SPREAD;
D O I
10.1063/5.0127775
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we establish and analyze a stochastic human immunodeficiency virus model with both virus-to-cell and cell-to-cell transmissions and Ornstein-Uhlenbeck process, in which we suppose that the virus-to-cell infection rate and the cell-to-cell infection rate satisfy the Ornstein-Uhlenbeck process. First, we validate that there exists a unique global solution to the stochastic model with any initial value. Then, we adopt a stochastic Lyapunov function technique to develop sufficient criteria for the existence of a stationary distribution of positive solutions to the stochastic system, which reflects the strong persistence of all CD4(+) T cells and free viruses. In particular, under the same conditions as the existence of a stationary distribution, we obtain the specific form of the probability density around the quasi-chronic infection equilibrium of the stochastic system. Finally, numerical simulations are conducted to validate these analytical results. Our results suggest that the methods used in this paper can be applied to study other viral infection models in which the infected CD4(+) T cells are divided into latently infected and actively infected subgroups.
引用
收藏
页数:41
相关论文
共 50 条
  • [31] Stationary distribution analysis of a stochastic SIAM epidemic model with Ornstein-Uhlenbeck process and media coverage
    Tian, Yilin
    Liu, Chao
    Cheung, Lora
    APPLIED MATHEMATICS LETTERS, 2024, 153
  • [32] Analytical Survival Analysis of the Ornstein-Uhlenbeck Process
    Giorgini, L. T.
    Moon, W.
    Wettlaufer, J. S.
    JOURNAL OF STATISTICAL PHYSICS, 2020, 181 (06) : 2404 - 2414
  • [33] Relativistic Ornstein-Uhlenbeck Process
    J Stat Phys, 3-4 (945):
  • [34] A GENERALIZED ORNSTEIN-UHLENBECK PROCESS
    WITTIG, TA
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1984, 13 (01) : 29 - 43
  • [35] Dynamical analysis of a stochastic maize streak virus epidemic model with logarithmic Ornstein-Uhlenbeck process
    Liu, Qun
    JOURNAL OF MATHEMATICAL BIOLOGY, 2024, 89 (03)
  • [36] Analysis of a stochastic population model with mean-reverting Ornstein-Uhlenbeck process and Allee effects
    Zhou, Baoquan
    Jiang, Daqing
    Hayat, Tasawar
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 111
  • [37] A stochastic differential equation SIS epidemic model incorporating Ornstein-Uhlenbeck process
    Wang, Weiming
    Cai, Yongli
    Ding, Zuqin
    Gui, Zhanji
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 509 : 921 - 936
  • [38] The generalized Ornstein-Uhlenbeck process
    J Phys A Math Gen, 24 (8427):
  • [39] Epidemic Waves in a Stochastic SIRVI Epidemic Model Incorporating the Ornstein-Uhlenbeck Process
    Alshammari, Fehaid Salem
    Akyildiz, Fahir Talay
    MATHEMATICS, 2023, 11 (18)
  • [40] The dynamics and density function of a stochastic SEIW brucellosis model with Ornstein-Uhlenbeck process
    Wen, Buyu
    Teng, Zhidong
    Nie, Linfei
    Li, Zhiming
    Cao, Hong
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2025,