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 …

A fractional mathematical model of heartwater transmission dynamics considering nymph and adult amblyomma ticks

JKK Asamoah - Chaos, Solitons & Fractals, 2023 - Elsevier
Heartwater is a tick-borne illness that affects ruminants and is carried by the amblyomma
ticks. The condition may sometimes be deadly. This paper studies the Caputo fractional …

[PDF][PDF] A numerical study of complex dynamics of a chemostat model under fractal-fractional derivative

ZA Khan, K Shah, B Abdalla, T Abdeljawad - Fractals, 2023 - researchgate.net
In this paper, we study the existence of numerical solution and stability of a chemostat model
under fractal fractional order derivative. First, we investigate the positivity and roundedness …

A Study on Dynamics of CD4+ T-Cells under the Effect of HIV-1 Infection Based on a Mathematical Fractal-Fractional Model via the Adams-Bashforth Scheme and …

H Najafi, S Etemad, N Patanarapeelert, JKK Asamoah… - Mathematics, 2022 - mdpi.com
In recent decades, AIDS has been one of the main challenges facing the medical community
around the world. Due to the large human deaths of this disease, researchers have tried to …

A fractional order HIV/AIDS epidemic model with Mittag-Leffler kernel

M Aslam, R Murtaza, T Abdeljawad, G Rahman… - Advances in Difference …, 2021 - Springer
In this article, we study a fractional order HIV/AIDS infection model with ABC-fractional
derivative. The model is based on four classes of a population. The study includes the …

Mathematical modeling and analysis for controlling the spread of infectious diseases

S Tyagi, SC Martha, S Abbas, A Debbouche - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, we present and discuss the approaches, that are used for modeling and
surveillance of dynamics of infectious diseases by considering the early stage asymptomatic …

A novel tuberculosis model incorporating a Caputo fractional derivative and treatment effect via the homotopy perturbation method

MO Olayiwola, KA Adedokun - Bulletin of the National Research Centre, 2023 - Springer
Background Tuberculosis (TB), caused by Mycobacterium tuberculosis, is a contagious
infectious disease that primarily targets the lungs but can also impact other critical systems …

Forecasting of HIV/AIDS in South Africa using 1990 to 2021 data: novel integer-and fractional-order fittings

P Kumar, S SM, V Govindaraj - International Journal of Dynamics and …, 2024 - Springer
In this study, we forecast the outbreaks of one of the most serious health issues in South
Africa, HIV/AIDS, using mathematical models. We consider an integer-and a fractional-order …

Bessel-quasilinearization technique to solve the fractional-order HIV-1 infection of CD4+ T-cells considering the impact of antiviral drug treatment

Ş Yüzbaşı, M Izadi - Applied Mathematics and Computation, 2022 - Elsevier
In this paper, two numerical methods based on the novel Bessel polynomials are developed
to solve the fractional-order HIV-1 infection model of CD 4+ T-cells considering the impact of …

[PDF][PDF] A fractal-fractional order model to study multiple sclerosis: a chronic disease

K Shah, B Abdalla, T Abdeljawad, MA Alqudah - Fractals, 2024 - researchgate.net
A mathematical model of progressive disease of the nervous system also called multiple
sclerosis (MS) is studied in this manuscript. The proposed model is investigated under the …