Mathematical model for spreading of COVID‐19 virus with the Mittag–Leffler kernel

Abstract

In the Nidovirales order of the Coronaviridae family, where the coronavirus (crown‐like spikes on the surface of the virus) causing severe infections like acute lung injury and acute respiratory distress syndrome. The contagion of this virus categorized as severed, which even causes severe damages to human life to harmless such as a common cold. In this manuscript, we discussed the SARS‐CoV‐2 virus into a system of equations to examine the existence and uniqueness results with the Atangana–Baleanu derivative by using a fixed‐point method. Later, we designed a system where we generate numerical results to predict the outcome of virus spreadings all over India.

Fractional Order Modeling the Gemini Virus in Capsicum annuum with Optimal Control

“…The Atangana-Baleanu fractional derivative (AB-derivative) [17] is a new one among the Mittag-Leffler Kernel. Recently, the existence analysis [18][19][20][21], stability analysis [22,23] and models [24][25][26][27] of AB-derivative were elaborated by many authors.…”

Modeling and analysis on the transmission of covid-19 Pandemic in Ethiopia

“…To predict the spread of COVID-19 in USA, the SEIRD epidemic model was developed in [19] . Many more mathematical models have also been produced on the COVID-19 pandemic, we are referring to [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] . Mathematical models were used to study the dynamics of several infectious diseases, not alone COVID-19.…”

Prediction studies of the epidemic peak of coronavirus disease in Brazil via new generalised Caputo type fractional derivatives

“…Kumar et al [18] solved a time-delay coronavirus non-integer order model in Caputo sense. A model of COVID-19 is also proposed in [21] by the help of mittag-leffler kernel. Some existence results for non-classical differential equations are given in [22] .…”