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Mathematical analysis of COVID-19 via new mathematical model

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  • Abdullah,
  • Ahmad, Saeed
  • Owyed, Saud
  • Abdel-Aty, Abdel-Haleem
  • Mahmoud, Emad E.
  • Shah, Kamal
  • Alrabaiah, Hussam

Abstract

We develop a new mathematical model by including the resistive class together with quarantine class and use it to investigate the transmission dynamics of the novel corona virus disease (COVID-19). Our developed model consists of four compartments, namely the susceptible class, S(t), the healthy (resistive) class, H(t), the infected class, I(t) and the quarantine class, Q(t). We derive basic properties like, boundedness and positivity, of our proposed model in a biologically feasible region. To discuss the local as well as the global behaviour of the possible equilibria of the model, we compute the threshold quantity. The linearization and Lyapunov function theory are used to derive conditions for the stability analysis of the possible equilibrium states. We present numerical simulations to support our investigations. The simulations are compared with the available real data for Wuhan city in China, where the infection was initially originated.

Suggested Citation

  • Abdullah, & Ahmad, Saeed & Owyed, Saud & Abdel-Aty, Abdel-Haleem & Mahmoud, Emad E. & Shah, Kamal & Alrabaiah, Hussam, 2021. "Mathematical analysis of COVID-19 via new mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309760
    DOI: 10.1016/j.chaos.2020.110585
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    References listed on IDEAS

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    Cited by:

    1. Otunuga, Olusegun Michael, 2021. "Time-dependent probability distribution for number of infection in a stochastic SIS model: case study COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    2. Mitsuhiro Fukao & Etsuro Shioji, 2022. "Is There a Trade‐Off between COVID‐19 Control and Economic Activity? Implications from the Phillips Curve Debate," Asian Economic Policy Review, Japan Center for Economic Research, vol. 17(1), pages 66-85, January.
    3. Rahman, Mati ur & Ahmad, Saeed & Matoog, R.T. & Alshehri, Nawal A. & Khan, Tahir, 2021. "Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

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