Exploring a Mathematical Model with Saturated Treatment for the Co-Dynamics of Tuberculosis and Diabetes

Saburi Rasheed, Olaniyi S. Iyiola (), Segun I. Oke and Bruce A. Wade
Additional contact information
Saburi Rasheed: Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA
Olaniyi S. Iyiola: Department of Mathematics, Morgan State University, Baltimore, MD 21251, USA
Segun I. Oke: Department of Physics, Chemistry and Mathematics, Alabama A&M University, Huntsville, AL 35811, USA
Bruce A. Wade: Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA

Mathematics, 2024, vol. 12, issue 23, 1-28

Abstract: In this research, we present a deterministic epidemiological mathematical model that delves into the intricate dynamics of the coexistence of tuberculosis and diabetes. Our comprehensive analysis explores the interplay and the influence of diabetes on tuberculosis incidence within a human population segregated into diabetic and non-diabetic groups. The model incorporates a saturated incidence rate and treatment regimen for latent tuberculosis infections, offering insights into their impact on tuberculosis control. The theoretical findings reveal the emergence of a phenomenon known as backward bifurcation, attributed to exogenous reinfection and saturated treatment. Additionally, our study employs both local and global sensitivity analyses to identify pivotal parameters crucial to the spread of tuberculosis within the population. This investigation contributes valuable insights to the understanding of the complex relationship between tuberculosis and diabetes, offering a foundation for more effective disease control strategies.

Keywords: saturated treatment; tuberculosis; diabetes; co-infections; simulation; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/23/3765/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/23/3765/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:23:p:3765-:d:1532634

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().