Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law

Abstract

In the current article, we studied the novel corona virus (2019-nCoV or COVID-19) which is a threat to the whole world nowadays. We consider a fractional order epidemic model which describes the dynamics of COVID-19 under nonsingular kernel type of fractional derivative. An attempt is made to discuss the existence of the model using the fixed point theorem of Banach and Krasnoselskii’s type. We will also discuss the Ulam-Hyers type of stability of the mentioned problem. For semi analytical solution of the problem the Laplace Adomian decomposition method (LADM) is suggested to obtain the required solution. The results are simulated via Matlab by graphs. Also we have compare the simulated results with some reported real data for Commutative class at classical order.

Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order

“…(Shera et al. [9] ) Let be a closed, bounded and convex subset of real Banach space and let and be operators on satisfying the following conditions is a strict contraction on that is, there exists a such that is continuous on and is a relatively compact subset of …”

“…However, in this scenario, this virus is getting more and more attention in the current era. Many researchers are focused on finding the virus’s behavior with various conditions and are also interested in obtaining the saturation stage of the virus [8] , [9] , [10] , [11] . In present work, we use variable fractional operators for more effective results getting from the COVID-19 proposed model.…”

Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19

“…Using iterative technique, some concluding remarks were also given in [15] . In [16] , [17] , authors modelled the transmission dynamics of COVID-19 and also solved these models numerically. In recent years a lot of numerical and analytical techniques are proposed to solve biological models [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] .…”

Dynamics of COVID-19 mathematical model with stochastic perturbation

“…For the estimation of the final size of the coronavirus epidemic, Batista [3] presented the logistic growth regression model. Many researchers discussed this COVID-19 in different models in integer and in fractional order, see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17], because of many applications of fractional calculus, stochastic modeling and bifurcation analysis [18][19][20][21][22][23][24][25][26]. For the more realistic models, several authors studied the stochastic models by introducing white noise [27][28][29][30][31].…”