Review of fractional epidemic models

Y Chen, F Liu, Q Yu, T Li - Applied mathematical modelling, 2021 - Elsevier
The global impact of corona virus (COVID-19) has been profound, and the public health
threat it represents is the most serious seen in a respiratory virus since the 1918 influenza A …

Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic

M Higazy - Chaos, Solitons & Fractals, 2020 - Elsevier
Nowadays, COVID-19 has put a significant responsibility on all of us around the world from
its detection to its remediation. The globe suffer from lockdown due to COVID-19 pandemic …

[HTML][HTML] Studying of COVID-19 fractional model: Stability analysis

SL Khalaf, MS Kadhim, AR Khudair - Partial Differential Equations in …, 2023 - Elsevier
This article focuses on the recent epidemic caused by COVID-19 and takes into account
several measures that have been taken by governments, including complete closure, media …

A fractional-order epidemic model with time-delay and nonlinear incidence rate

FA Rihan, QM Al-Mdallal, HJ AlSakaji… - Chaos, Solitons & …, 2019 - Elsevier
In this paper, we provide an epidemic SIR model with long-range temporal memory. The
model is governed by delay differential equations with fractional-order. We assume that the …

An epidemiological MSEIR model described by the Caputo fractional derivative

R Almeida, AMC Brito da Cruz, N Martins… - International journal of …, 2019 - Springer
A fractional MSEIR model is presented, involving the Caputo fractional derivative. The
equilibrium points and the basic reproduction number are computed. An analysis of the local …

A fractional order epidemic model for the simulation of outbreaks of influenza A (H1N1)

G González‐Parra, AJ Arenas… - … methods in the …, 2014 - Wiley Online Library
In this paper, we propose a nonlinear fractional order model in order to explain and
understand the outbreaks of influenza A (H1N1). In the fractional model, the next state …

[HTML][HTML] Dynamics of SIQR epidemic model with fractional order derivative

S Paul, A Mahata, S Mukherjee, B Roy - Partial Differential Equations in …, 2022 - Elsevier
The dynamics of COVID-19 (Coronavirus Disease-2019) transmission are described using a
fractional order SIQR model. The stability analysis of the model is performed. To obtain semi …

Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order

AJ Arenas, G Gonzalez-Parra… - … and Computers in …, 2016 - Elsevier
In this paper we construct nonstandard finite difference (NSFD) schemes to obtain numerical
solutions of the susceptible–infected (SI) and susceptible–infected–recovered (SIR) …

Dynamic analysis of mean-field and fractional-order epidemic vaccination strategies by evolutionary game approach

MS Ullah, M Higazy, KMA Kabir - Chaos, Solitons & Fractals, 2022 - Elsevier
Individual's perception of the participant in a vaccine program reflects their intrinsic
appreciation of the trade-off between vaccine behavior, risk of infection, and memory effect …

Modeling the epidemic control measures in overcoming COVID-19 outbreaks: A fractional-order derivative approach

MS Ullah, M Higazy, KMA Kabir - Chaos, Solitons & Fractals, 2022 - Elsevier
Novel coronavirus named SARS-CoV-2 is one of the global threads and uncertain
challenges worldwide faced at present. It has stroke rapidly around the globe due to viral …