Work

A fractal-fractional mathematical model for COVID-19 and tuberculosis using Atangana–Baleanu derivative

Year: 2024

Type: article

Abstract: This study aims to develop a compartmental epidemiological model for the co-infection of COVID-19 and tuberculosis, incorporating a Holling type II treatment rate for individuals with tuberculosis, COVID-19, and dual infections while considering incomplete treatment in some TB cases. The model analysis examines the sub-models for COVID-19, TB, and the combined co-infection model. Using the fixed-point method, the research investigates the existence and uniqueness of solutions for the proposed model. It also explores a stability analysis to evaluate Ulam-Hyer’s reliability. Furthermore, it discusses and validates Lagrange’s interpolation polynomial through a specific case study to numerically compare different fractal and fractional orders.

Source: Mathematical and Computer Modelling of Dynamical Systems

DOI: 10.1080/13873954.2024.2426608

Authors: T. Gunasekar, S. Manikandan, M. Suba, Ali Akgül

Institutions: Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Indian Institute of Technology Jodhpur, Siirt Üniversitesi, Lebanese American University, Near East University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $1,533