On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease | Zendy

Anwarud Din | Zendy; Kamal Shah | Zendy; Aly R. Seadawy | Zendy; Hussam Alrabaiah | Zendy; Dumitru Băleanu | Zendy

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On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease

Author(s) -

Anwarud Din,

Kamal Shah,

Aly R. Seadawy,

Hussam Alrabaiah,

Dumitru Băleanu

Publication year - 2020

Publication title -

results in physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.743

H-Index - 56

ISSN - 2211-3797

DOI - 10.1016/j.rinp.2020.103510

Subject(s) - covid-19 , mathematics , coronavirus , nonlinear system , stability (learning theory) , mathematical model , current (fluid) , computer science , calculus (dental) , infectious disease (medical specialty) , physics , disease , medicine , pathology , quantum mechanics , machine learning , thermodynamics , statistics , dentistry

The present paper describes a three compartment mathematical model to study the transmission of the current infection due to the novel coronavirus (2019-nCoV or COVID-19). We investigate the aforesaid dynamical model by using Atangana, Baleanu and Caputo (ABC) derivative with arbitrary order. We derive some existence results together with stability of Hyers-Ulam type. Further for numerical simulations, we use Adams–Bashforth (AB) method with fractional differentiation. The mentioned method is a powerful tool to investigate nonlinear problems for their respective simulation. Some discussion and future remarks are also given.

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