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Tianyuan Hengyang Workshop 2020

Impact of information and Lévy noise on stochastic COVID-19 epidemic model under real statistical data

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Pages 236-253 | Received 27 Aug 2021, Accepted 08 Mar 2022, Published online: 26 Mar 2022

References

  • L.J.S. Allen, B.M. Bolker, Y. Lou, and A.L. Nevai, Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model, Discrete Contin. Dyn. Syst. A 21(1) (2008), Article ID 1.
  • A. Atangana and S. İğret Araz, Modeling and forecasting the spread of COVID-19 with stochastic and deterministic approaches: Africa and Europe, Adv. Differ. Equ. 2021(1) (2021), pp. 1–107.
  • K. Bao and Q. Zhang, Stationary distribution and extinction of a stochastic SIRS epidemic model with information intervention, Adv. Differ. Equ. 2017(1) (2017), pp. 1–19.
  • J.R. Beddington and R.M. May, Harvesting natural populations in a randomly fluctuating environment, Science 197(4302) (1977), pp. 463–465.
  • B.-E. Berrhazi, M. El Fatini, T. Caraballo Garrido, and R. Pettersson, A stochastic SIRI epidemic model with Lévy noise, Discrete Contin. Dyn. Syst. Ser. B 23(9) (2018), pp. 3645–3661.
  • A. Din, Y. Li, T. Khan, and G. Zaman, Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China, Chaos Solitons Fractals 141 (2020), Article ID 110286.
  • A. Din, Y. Li, and A. Yusuf, Delayed hepatitis B epidemic model with stochastic analysis, Chaos Solitons Fractals 146 (2021), Article ID 110839.
  • A. Din and Y. Li, The complex dynamics of hepatitis B infected individuals with optimal control, J. Syst. Sci. Complex 33 (2020), pp. 1–23.
  • A. Din and Y. Li, Lévy noise impact on a stochastic hepatitis B epidemic model under real statistical data and its fractal–fractional Atangana–Baleanu order model, Phys. Scr. 95 (2021), pp. 1–17.
  • A. Din and Y. Li, Stationary distribution extinction and optimal control for the stochastic hepatitis B epidemic model with partial immunity, Phys. Scr. 69 (2021), pp. 1–29.
  • Y. Ding, M. Xu, and L. Hu, Asymptotic behavior and stability of a stochastic model for AIDS transmission, Appl. Math. Comput. 204(1) (2008), pp. 99–108.
  • Y. Dong and T. Lin, Dynamics of a stochastic rumor propagation model incorporating media coverage and driven by Lévy noise, Chin. Phys. B 30 (2021), pp. 2–10.
  • M. El Fatini and I. Sekkak, Lévy noise impact on a stochastic delayed epidemic model with Crowly–Martin incidence and crowding effect, Physica A 541 (2020), Article ID 123315.
  • R. Gao, B. Cao, Y. Hu, Z. Feng, D. Wang, W. Hu, J. Chen, Z. Jie, H. Qiu, K. Xu, and X. Xu, Human infection with a novel avian-origin influenza A (H7N9) virus, N. Engl. J. Med. 368(20) (2013), pp. 1888–1897.
  • Q. Han, D. Jiang, and C. Ji, Analysis of a delayed stochastic predator–prey model in a polluted environment, Appl. Math. Model. 38(13) (2014), pp. 3067–3080.
  • T. Khan, A. Khan, and G. Zaman, The extinction and persistence of the stochastic hepatitis B epidemic model, Chaos Solitons Fractals 108 (2018), pp. 123–128.
  • T. Khan, G. Zaman, and M. Ikhlaq Chohan, The transmission dynamic and optimal control of acute and chronic hepatitis B, J. Biol. Dyn. 11(1) (2017), pp. 172–189.
  • S. Nana-Kyere, J. Ackora-Prah, E. Okyere, S. Marmah, and T. Afram, Hepatitis B optimal control model with vertical transmission, Appl. Math. 7(1) (2017), pp. 5–13.
  • S.A. Trigger and E.B. Czerniawski, Equation for epidemic spread with the quarantine measures: application to COVID-19, Phys. Scr. 95(10) (2020), Article ID 105001.
  • T.M. Uyeki and N.J. Cox, Global concerns regarding novel influenza A (H7N9) virus infections, N. Engl. J. Med. 368(20) (2013), pp. 1862–1864.
  • A. Yousefpour, H. Jahanshahi, and S. Bekiros, Optimal policies for control of the novel coronavirus disease (COVID-19) outbreak, Chaos Solitons Fractals 136 (2020), Article ID 109883.
  • L. Zhu, X. Wang, H. Zhang, S. Shen, Y. Li, and Y. Zhou, Dynamics analysis and optimal control strategy for a SIRS epidemic model with two discrete time delays, Phys. Scr. 95(3) (2020), Article ID 035213.