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Stability analysis of fractional order model on corona transmission dynamics

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  • Hincal, Evren
  • Alsaadi, Sultan Hamed

Abstract

In this paper a fractional order mathematical model is constructed to study the dynamics of corona virus in Oman. The model consists of a system of eight non-linear fractional order differential equations in Caputo sense. Existence and uniqueness as well as the stability analysis of the solution of the model are given. The stability analysis is in the frame of Ulam-Hyers and generalized Ulam-Hyers criteria. Numerical simulations are given to support the theoretical results. Many informations on the dynamics of COVID -19 in Oman were obtained using this model. Also many informations on the qualitative behaviour of the model were obtained.

Suggested Citation

  • Hincal, Evren & Alsaadi, Sultan Hamed, 2021. "Stability analysis of fractional order model on corona transmission dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
  • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920310195
    DOI: 10.1016/j.chaos.2020.110628
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    1. D. P. Smethurst & H. C. Williams, 2001. "Are hospital waiting lists self-regulating?," Nature, Nature, vol. 410(6829), pages 652-653, April.
    2. Ewen Callaway, 2020. "China coronavirus: labs worldwide scramble to analyse live samples," Nature, Nature, vol. 578(7793), pages 16-16, February.
    3. Jajarmi, Amin & Baleanu, Dumitru, 2018. "A new fractional analysis on the interaction of HIV with CD4+ T-cells," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 221-229.
    4. Abdo, Mohammed S. & Shah, Kamal & Wahash, Hanan A. & Panchal, Satish K., 2020. "On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    5. Qureshi, Sania & Yusuf, Abdullahi, 2019. "Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 111-118.
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