Analysis of a discrete mathematical COVID-19 model

Abstract

To describe the main propagation of the COVID-19 and has to find the control for the rapid spread of this viral disease in real life, in current manuscript a discrete form of the SEIR model is discussed. The main aim of this is to describe the viral disease in simplest way and the basic properties that are related with the nature of curves for susceptible and infected individuals are discussed here. The elementary numerical examples are given by using the real data of India and Algeria.

The fractional-order discrete COVID-19 pandemic model: stability and chaos

“…Abdul Kuddus et al in [ 30 ] studied the analysis of the SLIR model of COVID-19 with nonlinear incidence, while the analysis of the SIRD model of COVID-19 based on real data has been discussed by Kottakkaran et al in [ 31 ]. Meanwhile, the discrete mathematical model of COVID-19 has been analyzed in [ 32 ]. Other mathematical models related to the COVID-19 pandemic can be found [ 33 – 36 ].…”

The effect of the Caputo fractional difference operator on a new discrete COVID-19 model

“…In this section, we will present the discrete model proposed in [32] , which consists of susceptible group , infected group , exposed group and recovered group . The model’s structure as well as the transmissions between its groups have been depicted in Fig.…”

On the analysis of Caputo fractional order dynamics of Middle East Lungs Coronavirus (MERS-CoV) model

“…Arbitrary order calculus have provided the knowledge about the whole spectrum for any of the dynamical system, lying between any two different integer values [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] . The application of various real globe problems have been formulated by arbitrary order differential or integral equation like, mathematical fractional model for small-organism populace, logistic non-linear model for human populace, TB, dingy problem, hepatitis B, C and the basic Lotka-Volterra models being the fundamental of all the contagious problems [29] , [30] , [31] , [32] , [33] , [34] , [35] , [63] , [64] , [65] , [66] , [67] , [68] , [69] , [70] . The model (3) will be investigated for qualitative analysis with the aid of some known theorems of fixed point as already mentioned in several papers see, [36] , [37] , [38] , [39] , [40] , [41] , [42] , [43] .…”