[HTML][HTML] Fractional dynamics of a measles epidemic model

H Abboubakar, R Fandio, BS Sofack… - Axioms, 2022 - mdpi.com
In this work, we replaced the integer derivative with Caputo derivative to model the
transmission dynamics of measles in an epidemic situation. We began by recalling some …

[HTML][HTML] A mathematical analysis of the effects of control strategies on the transmission dynamics of Chlamydiosis

N Nyerere, YA Liana - Decision Analytics Journal, 2024 - Elsevier
Chlamydiosis remains a major public health concern in both developed and develo**
countries due to its effects on the human reproductive system. While limited modeling …

[HTML][HTML] A numerical method for solving quadratic fractional optimal control problems

SL Khalaf, KK Kassid, AR Khudair - Results in Control and Optimization, 2023 - Elsevier
The objective of this article is to present a novel algorithm that can efficiently address
fractional quadratic optimal control problems (FQOCPs) through the application of the …

[HTML][HTML] Operator theoretic approach to optimal control problems characterized by the Caputo fractional differential equations

M Vellappandi, V Govindaraj - Results in Control and Optimization, 2023 - Elsevier
In this paper, our aim is to solve an optimal control problem by using an operator theoretic
approach in the sense of Caputo fractional derivative. We first reduce the fractional …

Stability analysis of a fractional-order SIV1V2S epidemic model for the COVID-19 pandemic

X Hu, Y Liu - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
To explore the impact of the COVID-19 vaccination rate and immune loss rate on the
pandemic, this paper proposes a fractional-order SIV 1 V 2 S epidemic model with …

Mathematical modeling of the Coronavirus (Covid-19) transmission dynamics using classical and fractional derivatives

H Abboubakar, R Racke - 2022 - kops.uni-konstanz.de
The goal of this work is the formulation and analysis of a Covid-19 transmission dynamics
model which takes into account two doses of the vaccination process, confinement, and …

[HTML][HTML] The role of asymptomatic carriers on the dynamics of a lymphatic filariasis model incorporating control strategies

MA Stephano, MM Mayengo, JI Irunde - Results in Control and …, 2024 - Elsevier
This study presents a mathematical model to investigate the patterns of transmission in
lymphatic filariasis. The model considers chronic, acute, and asymptomatic individuals and …

[PDF][PDF] Solution of the SIR epidemic model of arbitrary orders containing Caputo-Fabrizio, Atangana-Baleanu and Caputo derivatives

EAA Ziada, S El-Morsy, O Moaaz, SS Askar… - AIMS Math …, 2024 - researchgate.net
The main aim of this study was to apply an analytical method to solve a nonlinear system of
fractional differential equations (FDEs). This method is the Adomian decomposition method …

[HTML][HTML] Fractional COVID-19 modeling and analysis on successive optimal control policies

MS Hadi, B Bilgehan - Fractal and Fractional, 2022 - mdpi.com
A fractional-order coronavirus disease of 2019 (COVID-19) model is constructed of five
compartments in the Caputo-Fabrizio sense. The main aim of the paper is to study the effects …

Dynamics of COVID-19 epidemic via two different fractional derivatives

P Kumar, VS Erturk, V Govindaraj, M Inc… - … Journal of Modeling …, 2023 - World Scientific
In December 2019, the novel Coronavirus, also known as 2019-nCoV or SARS-CoV-2 or
COVID-19, was first recognized as a deadly disease in Wuhan, China. In this paper, we …