Browsing by Author "Din, Anwarud"

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Citation Count: Din, Anwarud...et al. (2020). "On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease", Results in Physics, Vol. 19.
On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease
(2020) Din, Anwarud; Shah, Kamal; Seadawy, Aly; Alrabaiah, Hussam; Baleanu, Dumitru; 56389
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 The Author(s)
Citation Count: Din, Anwarud; Khan, Amir; Baleanu, Dumitru (2020). "Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model", Chaos, Solitons and Fractals, Vol. 139.
Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model
(2020) Din, Anwarud; Khan, Amir; Baleanu, Dumitru; 56389
Similar to other epidemics, the novel coronavirus (COVID-19) spread very fast and infected almost two hundreds countries around the globe since December 2019. The unique characteristics of the COVID-19 include its ability of faster expansion through freely existed viruses or air molecules in the atmosphere. Assuming that the spread of virus follows a random process instead of deterministic. The continuous time Markov Chain (CTMC) through stochastic model approach has been utilized for predicting the impending states with the use of random variables. The proposed study is devoted to investigate a model consist of three exclusive compartments. The first class includes white nose based transmission rate (termed as susceptible individuals), the second one pertains to the infected population having the same perturbation occurrence and the last one isolated (quarantined) individuals. We discuss the model's extinction as well as the stationary distribution in order to derive the the sufficient criterion for the persistence and disease' extinction. Lastly, the numerical simulation is executed for supporting the theoretical findings.