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Stationary distribution of a stochastic staged progression HIV model with imperfect vaccination

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  • Liu, Qun
  • Jiang, Daqing

Abstract

In this paper, we study a stochastic staged progression HIV model with imperfect vaccination. We establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model by using the stochastic Lyapunov analysis method.

Suggested Citation

  • Liu, Qun & Jiang, Daqing, 2019. "Stationary distribution of a stochastic staged progression HIV model with imperfect vaccination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    • Handle: RePEc:eee:phsmap:v:527:y:2019:i:c:s037843711930737x
    DOI: 10.1016/j.physa.2019.121271
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    Cited by:

    1. Zhou, Baoquan & Zhang, Xinhong & Jiang, Daqing, 2020. "Dynamics and density function analysis of a stochastic SVI epidemic model with half saturated incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    2. Liu, Qun & Jiang, Daqing, 2020. "Dynamical behavior of a higher order stochastically perturbed HIV/AIDS model with differential infectivity and amelioration," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    3. Han, Bingtao & Jiang, Daqing & Zhou, Baoquan & Hayat, Tasawar & Alsaedi, Ahmed, 2021. "Stationary distribution and probability density function of a stochastic SIRSI epidemic model with saturation incidence rate and logistic growth," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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