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A study of stochastically perturbed epidemic model of HPV infection and cervical cancer in Indian female population

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  • Midhun, T.A.
  • Murugesan, K.

Abstract

This study introduces a novel stochastic SICR (susceptible, infected, cervical cancer and recovered) model to illustrate HPV (Human papillomavirus) infection dynamics and its impact on cervical cancer in the female population of India. We prove the existence of a unique positive global solution that ensures stochastic boundedness and permanence. Moreover, sufficient conditions for HPV extinction are established through the stochastic extinction parameter R0e, indicating that the infection will die out if R0e<1. Conversely, the persistence of HPV is established by the existence and uniqueness of an ergodic stationary distribution of the solution when the stochastic threshold R0s>1, using the suitable selection of Lyapunov functions. Furthermore, data on cervical cancer cases in India from 2016 to 2020 is fitted to the model, providing parameter values suitable for the region. The theoretical findings are validated using the Positive-Preserving Truncated Euler–Maruyama method. Additionally, effective control strategies for India are suggested based on model predictions and sensitivity of key parameters.

Suggested Citation

  • Midhun, T.A. & Murugesan, K., 2025. "A study of stochastically perturbed epidemic model of HPV infection and cervical cancer in Indian female population," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 228(C), pages 431-465.
  • Handle: RePEc:eee:matcom:v:228:y:2025:i:c:p:431-465
    DOI: 10.1016/j.matcom.2024.09.008
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    References listed on IDEAS

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    1. Omame, Andrew & Abbas, Mujahid & Din, Anwarud, 2023. "Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-2," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 302-336.
    2. Lichtenstein, Bronwen, 2003. "Stigma as a barrier to treatment of sexually transmitted infection in the American deep south: issues of race, gender and poverty," Social Science & Medicine, Elsevier, vol. 57(12), pages 2435-2445, December.
    3. Ge, Junyan & Zuo, Wenjie & Jiang, Daqing, 2022. "Stationary distribution and density function analysis of a stochastic epidemic HBV model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 191(C), pages 232-255.
    4. Liu, Qun & Jiang, Daqing, 2023. "Stationary distribution and probability density for a stochastic SEIR-type model of coronavirus (COVID-19) with asymptomatic carriers," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. 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.
    6. Marrazzo, J.M. & Koutsky, L.A. & Kiviat, N.B. & Kuypers, J.M. & Stine, K., 2001. "Papanicolaou test screening and prevalence of genital human papillomavirus among women who have sex with women," American Journal of Public Health, American Public Health Association, vol. 91(6), pages 947-952.
    7. James Mitchell Crow, 2012. "HPV: The global burden," Nature, Nature, vol. 488(7413), pages 2-3, August.
    8. 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.
    Full references (including those not matched with items on IDEAS)

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