Mathematical modeling and analysis of COVID-19: A study of new variant Omicron

Transmission dynamics of COVID-19 pandemic with combined effects of relapse, reinfection and environmental contribution: A modeling analysis

“…In this part, numerical simulations were carried out to explain the theoretical results given in the previous sections as well as to gain deeper insight into the COVID-19 dynamic transmission behaviour. To obtain numerical solutions to the proposed model, we employed the Euler framework to find the graphical results using parameter values from Table 2 [8] , [9] , [10] , [11] , [75] , [76] , [77] . The procedure is as follows: Suppose the initial condition, which is well-posed, is given below.…”

“…The COVID-19 pandemic is still in progress and endures in generating disastrous public health and socioeconomic misery worldwide [4] , [5] , [6] , [7] , [8] , [9] , [10] , [11] . By April 15, 2022, the disease had affected more than 220 countries and territories across all regions of the world, causing 500 million cases and 6 million deaths, respectively [12] .…”

“…Since the emergence of the pandemic, several epidemiological (and clinical) investigations have been performed to examine the transmission dynamics of SARS-CoV-2, ranging from the disease’s clinical characteristics [1] , [5] , estimation of reproduction number, exponential growth, patterns of the epidemic curve, and epidemic modeling [6] , [7] , [15] , [16] , [18] , [19] , [20] , [21] , [22] , [23] . Some studies have explored the COVID-19 serial interval [24] , [25] , [26] , while some used fractional modeling approach to analyze the transmission of COVID-19 infection [8] , [9] . Furthermore, heterogeneity and super-spreading event have also been investigated [27] , [28] .…”

Assessing the potential impact of COVID-19 Omicron variant: Insight through a fractional piecewise model

“…Here for denotes the intensity constants of the stochastic environment and for are the standard Brownian motion. Next, we consider an efficient numerical approach to solve numerically the piecewise system using the approach given in details in the following: The numerical scheme considered here is basically comes from [43] , [43] , [44] and the application of this scheme can be seen in [45] . According to this rule, we divide into the following, After some algebraic manipulations, we obtain the final scheme given by the following: where…”

Application of piecewise fractional differential equation to COVID-19 infection dynamics

“…The numerical scheme follows from [40] , [41] and its recent application in disease modeling, see [42] and heat diffusion [43] , has been given in the following:…”