Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version

S Etemad, I Avci, P Kumar, D Baleanu… - Chaos, Solitons & …, 2022 - Elsevier
In this paper, we formulate a new model of a particular type of influenza virus called
AH1N1/09 in the framework of the four classes consisting of susceptible, exposed, infectious …

On fractal-fractional waterborne disease model: A study on theoretical and numerical aspects of solutions via simulations

H Khan, J Alzabut, A Shah, ZY He, S Etemad… - Fractals, 2023 - World Scientific
Waterborne diseases are illnesses caused by pathogenic bacteria that spread through water
and have a negative influence on human health. Due to the involvement of most countries in …

[HTML][HTML] A review of fractional order epidemic models for life sciences problems: Past, present and future

KS Nisar, M Farman, M Abdel-Aty… - Alexandria Engineering …, 2024 - Elsevier
Both mathematics and science exhibit a reciprocally advantageous and close relationship.
The undeniable significance of mathematics in diverse scientific fields, including electrical …

[HTML][HTML] A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients

H Khan, J Alzabut, O Tunç, MKA Kaabar - Results in Control and …, 2023 - Elsevier
In this article, we consider a Covid-19 model for a population involving diabetics as a
subclass in the fractal–fractional (FF) sense of derivative. The study includes: existence …

Numerical approach to solve Caputo‐Fabrizio‐fractional model of corona pandemic with optimal control design and analysis

A Hanif, AI Kashif Butt, W Ahmad - Mathematical Methods in …, 2023 - Wiley Online Library
In this manuscript, we have studied the dynamical behavior of a deadly COVID‐19
pandemic which has caused frustration in the human community. For this study, a new …

The dynamics analysis of Gompertz virus disease model under impulsive control

L Wang, A She, Y Xie - Scientific Reports, 2023 - nature.com
The pandemic of Gompertz virus disease remains a pressing issue in agricultural
production. Moreover, the dynamics of various infectious diseases is usually investigated by …

Tripled fixed points and existence study to a tripled impulsive fractional differential system via measures of noncompactness

S Etemad, MM Matar, MA Ragusa, S Rezapour - Mathematics, 2021 - mdpi.com
In this paper, a tripled fractional differential system is introduced as three associated
impulsive equations. The existence investigation of the solution is based on contraction …

[HTML][HTML] Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic

AIK Butt, W Ahmad, M Rafiq, D Baleanu - Alexandria Engineering Journal, 2022 - Elsevier
In this manuscript, we formulated a new nonlinear SEIQR fractional order pandemic model
for the Corona virus disease (COVID-19) with Atangana-Baleanu derivative. Two main …

[HTML][HTML] Analysis and dynamical transmission of Covid-19 model by using Caputo-Fabrizio derivative

M Farman, H Besbes, KS Nisar, M Omri - Alexandria Engineering Journal, 2023 - Elsevier
The SARS-CoV-2 pandemic is an urgent problem with unpredictable properties and is
widespread worldwide through human interactions. This work aims to use Caputo-Fabrizio …

[HTML][HTML] Optimally analyzed fractional Coronavirus model with Atangana–Baleanu derivative

AIK Butt, W Ahmad, M Rafiq, N Ahmad, M Imran - Results in Physics, 2023 - Elsevier
In this article, we develop a nonlinear SEIQHR fractional model with Atangana–Baleanu
(ABC) derivative for the Corona virus disease (Covid-19). It is significant to mention that …