Modelling influenza a disease dynamics under Caputo-Fabrizio fractional derivative with distinct contact rates

F Evirgen, E Uçar, S Uçar, N Özdemir - Mathematical Modelling and …, 2023 - dergipark.org.tr
The objective of this manuscript is to present a novel approach to modeling influenza A
disease dynamics by incorporating the Caputo-Fabrizio (CF) fractional derivative operator …

Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

S Ahmad, D Qiu, M Rahman - Mathematical Modelling and …, 2022 - dergipark.org.tr
For the sake of human health, it is crucial to investigate infectious diseases including
HIV/AIDS, hepatitis, and others. Worldwide, the recently discovered new coronavirus …

Qualitative properties and approximate solutions of thermostat fractional dynamics system via a nonsingular kernel operator

MI Ayari, STM Thabet - Arab Journal of Mathematical Sciences, 2023 - emerald.com
Purpose This paper aims to study qualitative properties and approximate solutions of a
thermostat dynamics system with three-point boundary value conditions involving a …

A study on fractional tumor-immune interaction model related to lung cancer via generalized Laguerre polynomials

H Hassani, Z Avazzadeh, P Agarwal, S Mehrabi… - BMC medical research …, 2023 - Springer
Background Cancer, a complex and deadly health concern today, is characterized by
forming potentially malignant tumors or cancer cells. The dynamic interaction between these …

An efficient approximate analytical technique for the fractional model describing the solid tumor invasion

HB Chethan, R Saadeh, DG Prakasha, A Qazza… - Frontiers in …, 2024 - frontiersin.org
In this manuscript, we derive and examine the analytical solution for the solid tumor invasion
model of fractional order. The main aim of this work is to formulate a solid tumor invasion …

A fractional-order mathematical model based on vaccinated and infected compartments of SARS-CoV-2 with a real case study during the last stages of the …

H Bilgil, A Yousef, A Erciyes, Ü Erdinç… - Journal of computational …, 2023 - Elsevier
In 2020 the world faced with a pandemic spread that affected almost everything of humans'
social and health life. Regulations to decrease the epidemiological spread and studies to …

Infection eradication criterion in a general epidemic model with logistic growth, quarantine strategy, media intrusion, and quadratic perturbation

Y Sabbar, M Yavuz, F Özköse - Mathematics, 2022 - mdpi.com
This article explores and highlights the effect of stochasticity on the extinction behavior of a
disease in a general epidemic model. Specifically, we consider a sophisticated dynamical …

Mathematical modeling and control of lung cancer with IL2 cytokine and anti-PD-L1 inhibitor effects for low immune individuals

A Ahmad, MO Kulachi, M Farman, MD Junjua… - Plos one, 2024 - journals.plos.org
Mathematical formulations are crucial in understanding the dynamics of disease spread
within a community. The aim of this work is to examine that the Lung Cancer detection and …

New fractional cancer mathematical model via IL-10 cytokine and anti-PD-L1 inhibitor

E Uçar, N Özdemir - Fractal and Fractional, 2023 - mdpi.com
In this study, we explore a recent biological model created to analyze the behavior of cancer
cells by administering a dose of a drug containing anti-PD-L1 and IL-10 with the Caputo and …

Theoretical and numerical analysis of a chaotic model with nonlocal and stochastic differential operators

I Koca, A Atangana - 2023 - acikerisim.mu.edu.tr
A set of nonlinear ordinary differential equations has been considered in this paper. The
work tries to establish some theoretical and analytical insights when the usual time …