To study the transmission dynamic of SARS-CoV-2 using nonlinear saturated incidence rate

Shah, Kamal; Abdeljawad, Thabet; Din, Rahim Ud

doi:10.1016/j.physa.2022.127915

Cited by 14 publications

(6 citation statements)

References 53 publications

(51 reference statements)

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“…Te details about the COVID-19 situation in Pakistan can be found in [75,76], and [77]. Also, some real data in comparison with fractional order simulation has been plotted in [78] recently. We see that the numerical simulation at two diferent fractional orders coincides very well with the plot of real data as shown in Figure 26.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

A Detailed Study of a Fractal‐Fractional Transmission Dynamical Model of Viral Infectious Disease with Vaccination

et al. 2022

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This article is devoted to investigate a mathematical model consisting on susceptible, exposed, infected, quarantined, vaccinated, and recovered compartments of COVID-19. The concerned model describes the transmission mechanism of the disease dynamics with therapeutic measures of vaccination of susceptible people along with the cure of the infected population. In the said study, we use the fractal-fractional order derivative to understand the dynamics of all compartments of the proposed model in more detail. Therefore, the first model is formulated. Then, two equilibrium points disease-free (DF) and endemic are computed. Furthermore, the basic threshold number is also derived. Some sufficient conditions for global asymptotical stability are also established. By using the next-generation matrix method, local stability analysis is developed. We also attempt the sensitivity analysis of the parameters of the proposed model. Finally, for the numerical simulations, the Adams–Bashforth method is used. Using some available data, the results are displayed graphically using various fractal-fractional orders to understand the mechanism of the dynamics. In addition, we compare our numerical simulation with real data in the case of reported infected cases.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

A Detailed Study of a Fractal‐Fractional Transmission Dynamical Model of Viral Infectious Disease with Vaccination

et al. 2022

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“…There are multiple potential extensions of this study: The incidence functions have been shown to have interesting effect on the dynamics of models. While this work adopted a standard incidence function to describe initiation into alcoholism, future research could adopt saturated incidence functions as in [20] , [21] . Recently, fractional and fractional-fractal operators have been adopted in the development epidemic models.…”

Section: Discussionmentioning

confidence: 99%

A non-standard numerical scheme for an alcohol-abuse model with induced-complications

Sandow,

Seidu,

Abagna

2023

Heliyon

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“…From the Table 3, we can observe that the proposed solution has a lower compilation time. In addition, we compared the reported confirmed infected cases for 200 days in Pakistan [38] with the simulated result for the infected cases using the classical as well as fractional orders in Figure 22. This was performed in order to determine whether or not there was a correlation between the two sets of data.…”

Section: Numerical Treatment Via Fractional Calculusmentioning

confidence: 99%

Using Non-Standard Finite Difference Scheme to Study Classical and Fractional Order SEIVR Model

et al. 2023

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In this study, we considered a model for novel COVID-19 consisting on five classes, namely S, susceptible; E, exposed; I, infected; V, vaccinated; and R, recovered. We derived the expression for the basic reproductive rate R0 and studied disease-free and endemic equilibrium as well as local and global stability. In addition, we extended the nonstandard finite difference scheme to simulate our model using some real data. Moreover, keeping in mind the importance of fractional order derivatives, we also attempted to extend our numerical results for the fractional order model. In this regard, we considered the proposed model under the concept of a fractional order derivative using the Caputo concept. We extended the nonstandard finite difference scheme for fractional order and simulated our results. Moreover, we also compared the numerical scheme with the traditional RK4 both in CPU time as well as graphically. Our results have close resemblance to those of the RK4 method. Also, in the case of the infected class, we compared our simulated results with the real data.

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To study the transmission dynamic of SARS-CoV-2 using nonlinear saturated incidence rate

Cited by 14 publications

References 53 publications

A Detailed Study of a Fractal‐Fractional Transmission Dynamical Model of Viral Infectious Disease with Vaccination

A Detailed Study of a Fractal‐Fractional Transmission Dynamical Model of Viral Infectious Disease with Vaccination

A non-standard numerical scheme for an alcohol-abuse model with induced-complications

Using Non-Standard Finite Difference Scheme to Study Classical and Fractional Order SEIVR Model

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