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A fractional-order model for CoViD-19 dynamics with reinfection and the importance of quarantine

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  • Maurício de Carvalho, João P.S.
  • Moreira-Pinto, Beatriz

Abstract

Coronavirus disease 2019 (CoViD-19) is an infectious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Among many symptoms, cough, fever and tiredness are the most common. People over 60 years old and with associated comorbidities are most likely to develop a worsening health condition. This paper proposes a non-integer order model to describe the dynamics of CoViD-19 in a standard population. The model incorporates the reinfection rate in the individuals recovered from the disease. Numerical simulations are performed for different values of the order of the fractional derivative and of reinfection rate. The results are discussed from a biological point of view.

Suggested Citation

  • Maurício de Carvalho, João P.S. & Moreira-Pinto, Beatriz, 2021. "A fractional-order model for CoViD-19 dynamics with reinfection and the importance of quarantine," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006299
    DOI: 10.1016/j.chaos.2021.111275
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    References listed on IDEAS

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    1. Jay J. Van Bavel & Katherine Baicker & Paulo S. Boggio & Valerio Capraro & Aleksandra Cichocka & Mina Cikara & Molly J. Crockett & Alia J. Crum & Karen M. Douglas & James N. Druckman & John Drury & Oe, 2020. "Using social and behavioural science to support COVID-19 pandemic response," Nature Human Behaviour, Nature, vol. 4(5), pages 460-471, May.
    2. Ahmad, Shabir & Ullah, Aman & Al-Mdallal, Qasem M. & Khan, Hasib & Shah, Kamal & Khan, Aziz, 2020. "Fractional order mathematical modeling of COVID-19 transmission," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
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    1. Isra Al-Shbeil & Noureddine Djenina & Ali Jaradat & Abdallah Al-Husban & Adel Ouannas & Giuseppe Grassi, 2023. "A New COVID-19 Pandemic Model including the Compartment of Vaccinated Individuals: Global Stability of the Disease-Free Fixed Point," Mathematics, MDPI, vol. 11(3), pages 1-15, January.
    2. Saleem, Farhan & Hina, Saadia & Ullah, Irfan & Habib, Ammara & Hina, Alina & Ilyas, Sana & Hamid, Muhammad, 2024. "Impacts of irregular and strategic lockdown on air quality over Indo-Pak Subcontinent: Pre-to-post COVID-19 analysis," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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