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Stochastic perturbation to 2-LTR dynamical model in HIV infected patients

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  • Chinnadurai, M.
  • Fatini, Mohamed El
  • Rathinasamy, A.

Abstract

In this paper, we proposed the stochastic perturbation to study the HIV viral dynamical model. The stochastic epidemic model of 2-LTR HIV infected patients is considered and we prove that the stochastic model admits a unique globally positive solution7 which is bounded and permanent. Then we analyze the necessary conditions for extinction and persistence of the disease by selecting the appropriate Lyapunov functions. The theoretical findings are confirmed by using suitable numerical experiments.

Suggested Citation

  • Chinnadurai, M. & Fatini, Mohamed El & Rathinasamy, A., 2023. "Stochastic perturbation to 2-LTR dynamical model in HIV infected patients," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 473-497.
    • Handle: RePEc:eee:matcom:v:204:y:2023:i:c:p:473-497
    DOI: 10.1016/j.matcom.2022.08.019
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    References listed on IDEAS

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    1. Liu, Qun & Jiang, Daqing, 2019. "Dynamical behavior of a stochastic multigroup SIR epidemic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    2. Liu, Qun & Jiang, Daqing & Hayat, Tasawar & Ahmad, Bashir, 2017. "Asymptotic behavior of a stochastic delayed HIV-1 infection model with nonlinear incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 867-882.
    3. Wang, Yan & Jiang, Daqing & Alsaedi, Ahmed & Hayat, Tasawar, 2018. "Modelling a stochastic HIV model with logistic target cell growth and nonlinear immune response function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 276-292.
    4. Liu, Qun, 2017. "Asymptotic behaviors of a cell-to-cell HIV-1 infection model perturbed by white noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 407-418.
    5. Huang, Zaitang & Yang, Qigui & Cao, Junfei, 2011. "Complex dynamics in a stochastic internal HIV model," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 954-963.
    6. Wang, Yan & Jiang, Daqing & Hayat, Tasawar & Ahmad, Bashir, 2017. "A stochastic HIV infection model with T-cell proliferation and CTL immune response," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 477-493.
    7. Liu, Qun & Jiang, Daqing & Shi, Ningzhong & Hayat, Tasawar & Alsaedi, Ahmed, 2017. "Asymptotic behavior of stochastic multi-group epidemic models with distributed delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 527-541.
    8. Rathinasamy, A. & Chinnadurai, M. & Athithan, S., 2021. "Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 179(C), pages 213-237.
    9. Mao, Xuerong & Marion, Glenn & Renshaw, Eric, 2002. "Environmental Brownian noise suppresses explosions in population dynamics," Stochastic Processes and their Applications, Elsevier, vol. 97(1), pages 95-110, January.
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