[HTML][HTML] A review on epidemic models in sight of fractional calculus

KS Nisar, M Farman, M Abdel-Aty, J Cao - Alexandria Engineering Journal, 2023 - Elsevier
Biomathematics has become one of the most significant areas of research as a result of
interdisciplinary study. Chronic diseases sometimes referred to as non-communicable and …

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 …

Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control

PA Naik, J Zu, KM Owolabi - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, a nonlinear fractional order epidemic model for HIV transmission is proposed
and analyzed by including extra compartment namely exposed class to the basic SIR …

First two months of the 2019 Coronavirus Disease (COVID-19) epidemic in China: real-time surveillance and evaluation with a second derivative model

X Chen, B Yu - Global health research and policy, 2020 - Springer
Background Similar to outbreaks of many other infectious diseases, success in controlling
the novel 2019 coronavirus infection requires a timely and accurate monitoring of the …

Non-fractional and fractional mathematical analysis and simulations for Q fever

JKK Asamoah, E Okyere, E Yankson, AA Opoku… - Chaos, Solitons & …, 2022 - Elsevier
The purpose of analysing the transmission dynamism of Q fever (Coxiellosis) in livestock
and incorporating ticks is to outline some management practices to minimise the spread of …

A fractional-order model for the novel coronavirus (COVID-19) outbreak

K Rajagopal, N Hasanzadeh, F Parastesh… - Nonlinear …, 2020 - Springer
The outbreak of the novel coronavirus (COVID-19), which was firstly reported in China, has
affected many countries worldwide. To understand and predict the transmission dynamics of …

[HTML][HTML] Analysis, modeling and simulation of a fractional-order influenza model

MA Abdoon, R Saadeh, M Berir, FEL Guma - Alexandria Engineering …, 2023 - Elsevier
The primary goal of this study is to provide a novel mathematical model for Influenza using
the Atangana–Baleanu Caputo fractional-order derivative operator (ABC-Operator) in place …

The memory effect on fractional calculus: an application in the spread of COVID-19

LC Barros, MM Lopes, FS Pedro, E Esmi… - Computational and …, 2021 - Springer
Fractional calculus has been widely used in mathematical modeling of evolutionary systems
with memory effect on dynamics. The main interest of this work is to attest, through a …

Modelling influenza a disease dynamics under Caputo-Fabrizio fractional derivative with distinct contact rates

F Evirgen, E Uçar, S Uçar, N Özdemir - Mathematical Modelling and …, 2023 - dergipark.org.tr
The objective of this manuscript is to present a novel approach to modeling influenza A
disease dynamics by incorporating the Caputo-Fabrizio (CF) fractional derivative operator …

Modeling the mechanics of viral kinetics under immune control during primary infection of HIV-1 with treatment in fractional order

PA Naik, J Zu, KM Owolabi - Physica A: statistical mechanics and its …, 2020 - Elsevier
In this paper, we propose and analyze a fractional order model of viral kinetics for primary
infection of HIV-1 in presence of immune control with treatment, as the classical model of …