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Mathematical analysis of COVID-19 via new mathematical model

A Abdullah (), Saeed Ahmad, Saud Owyed, Abdel-Haleem Abdel-Aty, Emad E. Mahmoud, Kamal Shah and Hussam Alrabaiah

Chaos, Solitons & Fractals, 2021, vol. 143, issue C

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.

Keywords: Mathematical model; COVID 19; Basic reproduction number; Linearization theory; Lyapunov function; Stability analysis; Numerical simulations (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.chaos.2020.110585

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