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The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence

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  • Wen, Buyu
  • Teng, Zhidong
  • Li, Zhiming

Abstract

In this paper, a stochastic periodic SIVS epidemic model with nonlinear incidence and vaccination is investigated. The threshold conditions on the existence of stochastic positive periodic solutions and the extinction of disease with probability one are established by constructing the new stochastic Lyapunov functions and using the new technique to deal with the nonlinear incidence and vaccination for the stochastic epidemic model. The numerical simulations are given to illustrate the main theoretical results and present some new interesting conjectures.

Suggested Citation

  • Wen, Buyu & Teng, Zhidong & Li, Zhiming, 2018. "The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 532-549.
    • Handle: RePEc:eee:phsmap:v:508:y:2018:i:c:p:532-549
    DOI: 10.1016/j.physa.2018.05.056
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    References listed on IDEAS

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    Cited by:

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    2. Maria Gamboa & Maria Jesus Lopez-Herrero, 2020. "The Effect of Setting a Warning Vaccination Level on a Stochastic SIVS Model with Imperfect Vaccine," Mathematics, MDPI, vol. 8(7), pages 1-23, July.
    3. Fehaid Salem Alshammari & Fahir Talay Akyildiz, 2023. "Epidemic Waves in a Stochastic SIRVI Epidemic Model Incorporating the Ornstein–Uhlenbeck Process," Mathematics, MDPI, vol. 11(18), pages 1-15, September.
    4. 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.

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