[HTML][HTML] A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects

D Baleanu, MH Abadi, A Jajarmi, KZ Vahid… - Alexandria Engineering …, 2022 - Elsevier
A generalized version of fractional models is introduced for the COVID-19 pandemic,
including the effects of isolation and quarantine. First, the general structure of fractional …

Optimal control strategies for the transmission risk of COVID-19

L Lemecha Obsu, S Feyissa Balcha - Journal of biological …, 2020 - Taylor & Francis
In this paper, we apply optimal control theory to a novel coronavirus (COVID-19)
transmission model given by a system of non-linear ordinary differential equations. Optimal …

An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus

HM Srivastava, KM Saad, MM Khader - Chaos, Solitons & Fractals, 2020 - Elsevier
This article investigates a family of approximate solutions for the fractional model (in the
Liouville-Caputo sense) of the Ebola virus via an accurate numerical procedure (Chebyshev …

An efficient algorithm for solving the fractional optimal control of SIRV epidemic model with a combination of vaccination and treatment

I Ameen, D Baleanu, HM Ali - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, a general formulation for the SIRV epidemiological model is presented as a
system of fractional order derivatives with respect to time to characterize some infectious …

[HTML][HTML] Control of COVID-19 dynamics through a fractional-order model

S Bushnaq, T Saeed, DFM Torres, A Zeb - Alexandria Engineering Journal, 2021 - Elsevier
We investigate, through a fractional mathematical model, the effects of physical distance on
the SARS-CoV-2 virus transmission. Two controls are considered in our model for …

Numerical simulation of the fractal-fractional Ebola virus

HM Srivastava, KM Saad - Fractal and Fractional, 2020 - mdpi.com
In this work we present three new models of the fractal-fractional Ebola virus. We investigate
the numerical solutions of the fractal-fractional Ebola virus in the sense of three different …

Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection

S Rosa, DFM Torres - Chaos, Solitons & Fractals, 2018 - Elsevier
A human respiratory syncytial virus surveillance system was implemented in Florida in 1999,
to support clinical decision-making for prophylaxis of premature newborns. Recently, a local …

Computationally efficient optimal control analysis for the mathematical model of Coronavirus pandemic

AIK Butt, W Ahmad, M Rafiq, N Ahmad… - Expert Systems with …, 2023 - Elsevier
Corona virus disease which has caused frustration in the human community remains the
concern of the globe as every government struggles to defeat the pandemic. In this …

[HTML][HTML] Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic

W Ahmad, M Abbas, M Rafiq, D Baleanu - Results in Physics, 2021 - Elsevier
In this manuscript, a new nonlinear model for the rapidly spreading Corona virus disease
(COVID-19) is developed. We incorporate an additional class of vaccinated humans which …

Fractional neutral stochastic differential equations with Caputo fractional derivative: Fractional Brownian motion, Poisson jumps, and optimal control

K Ramkumar, K Ravikumar… - Stochastic Analysis and …, 2021 - Taylor & Francis
The objective of this paper is to investigate the existence of mild solutions and optimal
controls for a class of fractional neutral stochastic differential equations (NSDEs) driven by …