[HTML][HTML] A fractional-order nonlinear model for a within-host chikungunya virus dynamics with adaptive immunity using Caputo derivative operator

S Olaniyi, TO Alade, FM Chuma, AW Ogunsola… - Healthcare …, 2023 - Elsevier
The study of within-host dynamics of viral infection is a vital process of understanding how
healthy cells in the body are affected by viral foreign bodies and how body immunity …

Mathematical Model and Analysis on the Impacts of Vaccination and Treatment in the Control of the COVID‐19 Pandemic with Optimal Control

A Ayalew, Y Molla, T Tilahun… - Journal of Applied …, 2023 - Wiley Online Library
In this study, a nonlinear deterministic mathematical model that evaluates two important
therapeutic measures of the COVID‐19 pandemic: vaccination of susceptible and treatment …

Numerical solution of fractal‐fractional differential equations system via Vieta‐Fibonacci polynomials fractal‐fractional integral operators

P Rahimkhani, Y Ordokhani… - International Journal of …, 2024 - Wiley Online Library
The main idea of this work is to present a numerical method based on Vieta‐Fibonacci
polynomials (VFPs) for finding approximate solutions of fractal‐fractional (FF) pantograph …

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

S Zhang, Y Wang, H Geng, W Gao… - … Methods in the …, 2024 - Wiley Online Library
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its
complexities utilizing commonly used techniques with historical and material links. Based on …

A study on ODE-based model of risk breast cancer with body mass

S Abdulkream Alharbi, K Dehingia… - … in Science and …, 2023 - Taylor & Francis
In this study, we propose a fat-estrogen-breast cancer mathematical model to discuss the
effect of body mass, estrogen, and the immune system on the evolution of cancer cells. To …

A detailed study on a tumor model with delayed growth of pro-tumor macrophages

K Dehingia, K Hosseini, S Salahshour… - International Journal of …, 2022 - Springer
This paper investigates a tumor-macrophages interaction model with a discrete-time delay in
the growth of pro-tumor M2 macrophages. The steady-state analysis of the governing model …

[PDF][PDF] Dynamics of a generalized fractional epidemic model of COVID-19 with carrier effect

AA Mohsen, K Hattaf - Advances in Systems Science and Applications, 2022 - ijassa.ipu.ru
Dynamics of a Generalized Fractional Epidemic Model of COVID-19 with Carrier Effect
Page 1 Adv Syst Sci Appl 2022; 03:36–48 Published online at https://ijassa.ipu.ru …

A mathematical study for the transmission of coronavirus disease

HA Satar, RK Naji - Mathematics, 2023 - mdpi.com
Globally, the COVID-19 pandemic's development has presented significant societal and
economic challenges. The carriers of COVID-19 transmission have also been identified as …

Dynamical and sensitivity analysis for fractional Kundu–Eckhaus system to produce solitary wave solutions via new map** approach

AU Rehman, MB Riaz, O Tunç - Arab Journal of Basic and Applied …, 2024 - Taylor & Francis
Abstract The fractional Kundu–Eckhaus (FKE) equation, a nonlinear mathematical model,
holds significance in assessing optical fibre communication systems. It takes into account …

Exploration of Soliton Solutions for the Kaup–Newell Model Using Two Integration Schemes in Mathematical Physics

B Kopçasız, F Nur Kaya Sağlam - Mathematical Methods in the …, 2025 - Wiley Online Library
This research deals with the Kaup–Newell model, a class of nonlinear Schrödinger
equations with important applications in plasma physics and nonlinear optics. Soliton …