Impact of quarantine on fractional order dynamical model of Covid-19

作者：Ram Singh, Prayag Tiwari, Shahab S. Band, Attiq ul Rehman, Shubham Mahajan, Yijie Ding, Xiaobin Liu, Amit Kant Pandit · 发表于：Computers in Biology and Medicine · 年份：2022 · DOI：10.1016/j.compbiomed.2022.106266 · 被引用次数：20 · 研究领域：Fractional Differential Equations Solutions、COVID-19 epidemiological studies、Mathematical and Theoretical Epidemiology and Ecology Models

In this paper, a Covid-19 dynamical transmission model of a coupled non-linear fractional differential equation in the Atangana-Baleanu Caputo sense is proposed. The basic dynamical transmission features of the proposed system are briefly discussed. The qualitative as well as quantitative results on the existence and uniqueness of the solutions are evaluated through the fixed point theorem. The Ulam-Hyers stability analysis of the suggested system is established. The two-step Adams-Bashforth-Moulton (ABM) numerical method is employed to find its numerical solution. The numerical simulation is performed to accesses the impact of various biological parameters on the dynamics of Covid-19 disease.