Cargando…

Mathematical modeling and analysis of COVID-19 and TB co-dynamics

This study proposes a mathematical model for examining the COVID-19 and tuberculosis (TB) co-dynamics thoroughly. First, the single infection dynamics: COVID-19 infection and TB infection models are taken into consideration and examined. Following that, the co-dynamics with TB and COVID-19 is also i...

Descripción completa

Detalles Bibliográficos
Autores principales: Kifle, Zenebe Shiferaw, Obsu, Legesse Lemecha
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10428062/
https://www.ncbi.nlm.nih.gov/pubmed/37593600
http://dx.doi.org/10.1016/j.heliyon.2023.e18726
_version_ 1785090382783053824
author Kifle, Zenebe Shiferaw
Obsu, Legesse Lemecha
author_facet Kifle, Zenebe Shiferaw
Obsu, Legesse Lemecha
author_sort Kifle, Zenebe Shiferaw
collection PubMed
description This study proposes a mathematical model for examining the COVID-19 and tuberculosis (TB) co-dynamics thoroughly. First, the single infection dynamics: COVID-19 infection and TB infection models are taken into consideration and examined. Following that, the co-dynamics with TB and COVID-19 is also investigated. In order to comprehend the developed model dynamics, the basic system attributes including the region of definition, theory of nonnegativity and boundedness of solution are investigated. Further, a qualitative analysis of the equilibria of the formulated model equations is performed. The equilibria of both infection models are globally asymptotically stable if their respective basic reproductive number is smaller than one. As the associated reproductive number reaches unity, they experience the forward bifurcation phenomenon. Additionally, it is demonstrated that the formulated co-dynamics model would not experience backward bifurcation by applying the center manifold theory. Moreover, model fitting is done by using daily reported COVID-19 cumulative data in Ethiopia between March 13, 2020, and May 31, 2022. For instance, the non-linear least squares approach of fitting a function to data was performed in the fitting process using [Formula: see text] from the Python. Finally, to corroborate the analytical findings of the model equation, numerical simulations were conducted.
format Online
Article
Text
id pubmed-10428062
institution National Center for Biotechnology Information
language English
publishDate 2023
publisher Elsevier
record_format MEDLINE/PubMed
spelling pubmed-104280622023-08-17 Mathematical modeling and analysis of COVID-19 and TB co-dynamics Kifle, Zenebe Shiferaw Obsu, Legesse Lemecha Heliyon Research Article This study proposes a mathematical model for examining the COVID-19 and tuberculosis (TB) co-dynamics thoroughly. First, the single infection dynamics: COVID-19 infection and TB infection models are taken into consideration and examined. Following that, the co-dynamics with TB and COVID-19 is also investigated. In order to comprehend the developed model dynamics, the basic system attributes including the region of definition, theory of nonnegativity and boundedness of solution are investigated. Further, a qualitative analysis of the equilibria of the formulated model equations is performed. The equilibria of both infection models are globally asymptotically stable if their respective basic reproductive number is smaller than one. As the associated reproductive number reaches unity, they experience the forward bifurcation phenomenon. Additionally, it is demonstrated that the formulated co-dynamics model would not experience backward bifurcation by applying the center manifold theory. Moreover, model fitting is done by using daily reported COVID-19 cumulative data in Ethiopia between March 13, 2020, and May 31, 2022. For instance, the non-linear least squares approach of fitting a function to data was performed in the fitting process using [Formula: see text] from the Python. Finally, to corroborate the analytical findings of the model equation, numerical simulations were conducted. Elsevier 2023-07-31 /pmc/articles/PMC10428062/ /pubmed/37593600 http://dx.doi.org/10.1016/j.heliyon.2023.e18726 Text en © 2023 The Author(s) https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Kifle, Zenebe Shiferaw
Obsu, Legesse Lemecha
Mathematical modeling and analysis of COVID-19 and TB co-dynamics
title Mathematical modeling and analysis of COVID-19 and TB co-dynamics
title_full Mathematical modeling and analysis of COVID-19 and TB co-dynamics
title_fullStr Mathematical modeling and analysis of COVID-19 and TB co-dynamics
title_full_unstemmed Mathematical modeling and analysis of COVID-19 and TB co-dynamics
title_short Mathematical modeling and analysis of COVID-19 and TB co-dynamics
title_sort mathematical modeling and analysis of covid-19 and tb co-dynamics
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10428062/
https://www.ncbi.nlm.nih.gov/pubmed/37593600
http://dx.doi.org/10.1016/j.heliyon.2023.e18726
work_keys_str_mv AT kiflezenebeshiferaw mathematicalmodelingandanalysisofcovid19andtbcodynamics
AT obsulegesselemecha mathematicalmodelingandanalysisofcovid19andtbcodynamics