[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 …

Modeling the dynamics of COVID-19 with real data from Thailand

A Ibrahim, UW Humphries, PS Ngiamsunthorn… - Scientific Reports, 2023 - nature.com
In recent years, COVID-19 has evolved into many variants, posing new challenges for
disease control and prevention. The Omicron variant, in particular, has been found to be …

Modelling and analysis of a measles epidemic model with the constant proportional Caputo operator

M Farman, A Shehzad, A Akgül, D Baleanu, MD Sen - Symmetry, 2023 - mdpi.com
Despite the existence of a secure and reliable immunization, measles, also known as
rubeola, continues to be a leading cause of fatalities globally, especially in underdeveloped …

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 …

Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative

SA Jose, R Ramachandran, D Baleanu… - … Methods in the …, 2023 - Wiley Online Library
In this paper, the ABC fractional derivative is used to provide a mathematical model for the
dynamic systems of substance addiction. The basic reproduction number is investigated, as …

Analysis and dynamics of measles with control strategies: A mathematical modeling approach

OJ Peter, HS Panigoro, MA Ibrahim… - International Journal of …, 2023 - Springer
In this work, we examine the impact of certain preventive measures for effective measles
control. To do this, a mathematical model for the dynamics of measles transmission is …

Global analysis and simulation of a fractional order HBV immune model

X Yang, Y Su, L Yang, X Zhuo - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, a Caputo fractional order HBV humoral and CTL immunity model with more
general mass action incidences is established, the existence and uniqueness of positive …

Sensitivity analysis and global stability of epidemic between Thais and tourists for Covid-19

R Sungchasit, IM Tang, P Pongsumpun - Scientific Reports, 2024 - nature.com
This study employs a mathematical model to analyze and forecast the severe outbreak of
SARS-CoV-2 (Severe Acute Respiratory Syndrome Coronavirus 2), focusing on the socio …

Parameter Identification of Fractional Order Partial Differential Equation Model Based on Polynomial–Fourier Method

C Han, Q Serra, H Laurent, É Florentin - International Journal of Applied …, 2024 - Springer
Parameter identification plays a crucial role in the study of dynamics for fractional order
structural models. This article introduces an innovative approach to identify parameters by …

Modeling and dynamics of measles via fractional differential operator of singular and non-singular kernels

M Farman, C Xu, A Shehzad, A Akgul - Mathematics and Computers in …, 2024 - Elsevier
Young children frequently die from measles, which is a major global health concern. Despite
being more prevalent in infants, pregnant women, and people with compromised immune …