A nonlinear fractional epidemic model for the Marburg virus transmission with public health education

E Addai, A Adeniji, M Ngungu, GK Tawiah… - Scientific Reports, 2023 - nature.com
In this study, a deterministic model for the dynamics of Marburg virus transmission that
incorporates the impact of public health education is being formulated and analyzed. The …

Fractional modeling and numerical simulation for unfolding marburg–monkeypox virus co-infection transmission

N Zhang, E Addai, L Zhang, M Ngungu, E Marinda… - Fractals, 2023 - World Scientific
In this paper, we investigate a deterministic mathematical model of Marburg–Monkeypox
virus co-infection transmission under the Caputo fractional-order derivative. We discussed …

The influence of awareness campaigns on the spread of an infectious disease: a qualitative analysis of a fractional epidemic model

K Akdim, A Ez-Zetouni, M Zahid - Modeling Earth Systems and …, 2021 - Springer
Mass-media coverage is one of the most widely used government strategies on influencing
public opinion in times of crisis. Awareness campaigns are highly influential tools to expand …

[HTML][HTML] Investigating the fractional dynamics and sensitivity of an epidemic model with nonlinear convex rate

AR Butt, AA Saqib, A Bakar, DU Ozsahin, H Ahmad… - Results in Physics, 2023 - Elsevier
The current study analyzes a fractional compartmental epidemic model for the transmission
of infectious disease in a community. This study uses the Caputo derivative as well as …

[HTML][HTML] A novel study of the impact of vaccination on pneumonia via fractional approach

SD Purohit - Partial Differential Equations in Applied Mathematics, 2024 - Elsevier
Substantial advancements have been made in applying fractional calculus to understanding
the epidemiology of viral diseases. However, it remains troubling that over 2,000,000 …

Vaccination-based measles outbreak model with fractional dynamics

MS Abdo, MAAL Kamarany, KA Suhail… - Abhath Journal of …, 2022 - ojs.abhath-ye.com
The objective of this study is to create and evaluate a novel measles model that takes into
account the impact of vaccination in Yemen and makes use of fractional piecewise Caputo …

[HTML][HTML] An Atangana–Baleanu derivative-based fractal-fractional order model for the monkey pox virus: A case study of USA

KT Kubra, S Gulshan, R Ali - Partial Differential Equations in Applied …, 2024 - Elsevier
In this study, we apply both classical and fractional-order differential equations to construct a
deterministic mathematical model of the monkeypox virus. The model accounts for every …

Fractional dynamics and sensitivity analysis of measles epidemic model through vaccination

MB Riaz, N Raza, J Martinovic, A Bakar… - Arab Journal of Basic …, 2024 - Taylor & Francis
Measles is a highly contagious disease that mainly affects children worldwide. Even though
a reliable and effective vaccination is available, there were 140,000 measles deaths …

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 …

Numerical solution and stability analysis of a nonlinear vaccination model with historical effects

D Rostamy, E Mottaghi - Hacettepe Journal of Mathematics and …, 2017 - dergipark.org.tr
In this paper, we extend the classical vaccination epidemic model from a deterministic
framework to a model with historical effects by formulating it as a system of fractional-order …