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Open AccessJournal ArticleDOI

COVID-19 Deterministic and Stochastic Modelling with Optimized Daily Vaccinations in Saudi Arabia.

TLDR
In this article, the authors investigated the stochastic nature of the COVID-19 temporal dynamics by generating a fractional-order dynamic model for the Saudi Arabia second virus wave, which is assumed to start on 1st March 2021.
Abstract
In this paper, we investigate the stochastic nature of the COVID-19 temporal dynamics by generating a fractional-order dynamic model and a fractional-order-stochastic model. Initially, we considered the first and second vaccination doses as multiple vaccinations were initiated worldwide. The concerned models are then tested for the Saudi Arabia second virus wave, which is assumed to start on 1st March 2021. Four daily vaccination scenarios for the first and second dose are assumed for 100 days from the wave beginning. One of these scenarios is based on function optimization using the invasive weed optimization algorithm (IWO). After that, we numerically solve the established models using the fractional Euler method and the Euler-Murayama method. Finally, the obtained virus dynamics using the assumed scenarios and the real one started by the government are compared. The optimized scenario using the IWO effectively minimizes the predicted cumulative wave infections with a 4.4 % lower number of used vaccination doses.

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Citations
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Journal ArticleDOI

Risk-based cost-benefit analysis of alternative vaccines against COVID-19 in Brazil: Coronavac vs. Astrazeneca vs. Pfizer

TL;DR: In this article , the authors proposed a probabilistic model to quantify the cost-benefit of mass vaccination scenarios against COVID-19 pandemic in Brazil, where three primary vaccine brands in Brazil (CoronaVac, AstraZeneca and Pfizer) were compared.
Journal ArticleDOI

Comparative Study of AVR Control Systems Considering a Novel Optimized PID-Based Model Reference Fractional Adaptive Controller

TL;DR: In this paper , a PID-based model reference fractional adaptive controller is proposed, with detailed mathematical modeling, and compared to the other controllers in the survey, the proposed controller proved its superiority over other controllers through its fast response and low rising and settling times.
Journal ArticleDOI

Coronavirus dynamics, infections and preventive interventions using fractional-calculus analysis

TL;DR: In this paper , an epidemic model to understand COVID-19 transmission vaccination and therapy considerations was constructed and the model's equilibria were examined, and the reproduction parameter was calculated via a next-generation matrix method, symbolized by $ \mathcal{R}_0 $.
Journal ArticleDOI

Crossover Dynamics of Rotavirus Disease under Fractional Piecewise Derivative with Vaccination Effects: Simulations with Real Data from Thailand, West Africa, and the US

TL;DR: In this paper , a piecewise derivative framework with singular and non-singular kernels is proposed to investigate the evolution of rotavirus with regard to the effect of vaccination and the existence of a solution of the piecewise Rotavirus model is investigated via fixed-point results.
Journal ArticleDOI

Dynamics of a stochastic epidemic model with quarantine and non-monotone incidence

Tingting Wang, +1 more
- 01 Jan 2023 - 
TL;DR: In this paper , a stochastic SIQR epidemic model with non-monotone incidence is investigated, where the disease-free equilibrium of the deterministic model is globally asymptotically stable by using the Lyapunov method.
References
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Global dynamics of a multi-strain SEIR epidemic model with general incidence rates: application to COVID-19 pandemic.

Omar Khyar, +1 more
- 08 Sep 2020 - 
TL;DR: It was observed that the model with a generalized incidence functions encompasses a large number of models with classical incidence functions and it gives a significant wide view about the equilibria stability.
Journal ArticleDOI

Exponentiated Transformation of Gumbel Type-II Distribution for Modeling COVID-19 Data

TL;DR: In this paper, the authors proposed a novel three parametric model named as Exponentiated Transformation of Gumbel Type-II (ETGT-II) for modeling the two data sets of death cases due to COVID-19.
Journal ArticleDOI

On the Analysis of Number of Deaths due to Covid -19 Outbreak data Using A New Class of Distributions

TL;DR: In this article, a generalized log-exponential transformation of Gumbel Type-II (GLET-GTII) is proposed for modeling life data, which extends a more flexible model for modelling life data.
Journal ArticleDOI

Euler-Maruyama scheme for Caputo stochastic fractional differential equations

TL;DR: A Euler–Maruyama type scheme for Caputo stochastic fractional differential equations (for short Caputo SFDE) of order α ∈ ( 1 2 , 1 ) whose coefficients satisfy a standard Lipschitz and a linear growth bound condition is constructed.
Journal ArticleDOI

Stability of a Class of Fractional-Order Nonlinear Systems

TL;DR: In this paper, stability analysis of fractional order nonlinear systems with order is studied and sufficient conditions on the local (globally) asymptotic stability are proposed by using properties of Mittag-Leffler function and the Gronwall inequality.
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