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

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

Kamal Shah, Anwarud Din, Dumitru Baleanu, Aly Seadawy, Hussam Alrabaiah

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.

2020

numerical simulations, qualitative results, Three compartments model, Adams–Bashforth (AB) method

10.1016/j.rinp.2020.103510

Results in physics