[HTML][HTML] A fractional-order tuberculosis model with efficient and cost-effective optimal control interventions

S Olaniyi, SF Abimbade, FM Chuma, OA Adepoju… - Decision Analytics …, 2023 - Elsevier
This study is concerned with applying fractional calculus in modelling tuberculosis (TB)
transmission dynamics. A new six-dimensional fractional-order mathematical model in the …

Optimal control analysis of a tuberculosis model with exogenous re‐infection and incomplete treatment

SF Abimbade, S Olaniyi, OA Ajala… - Optimal Control …, 2020 - Wiley Online Library
A new mathematical model of tuberculosis (TB) featuring exogenous re‐infection and
incomplete treatment is presented and analyzed. The model divides total population into …

Global dynamics of a tuberculosis model with sensitivity of the smear microscopy

DK Das, TK Kar - Chaos, Solitons & Fractals, 2021 - Elsevier
Sputum smear microscopy and chest X-ray are the key TB diagnosis methods available in
resource-constrained health settings of many developing countries worldwide. The test has …

Modeling the effects of vaccination and treatment on tuberculosis transmission dynamics

A Kelemu Mengistu, PJ Witbooi - Journal of Applied …, 2019 - Wiley Online Library
In this study, we develop and analyze a deterministic mathematical model for tuberculosis
(TB) transmission dynamics. The model includes vaccination for newborns and treatment for …

Modeling and bifurcation analysis of tuberculosis with the multidrug-resistant compartment incorporating chemoprophylaxis treatment

DB Kitaro, BK Bole, KP Rao - Frontiers in Applied Mathematics and …, 2023 - frontiersin.org
Tuberculosis is a major health problem that contributes significantly to infectious disease
mortality worldwide. A new challenge for society that demands extensive work toward …

[HTML][HTML] Dynamical analysis of an age-structured tuberculosis mathematical model with LTBI detectivity

DK Das, TK Kar - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
The age-dependent heterogeneity observed in tuberculosis (TB) epidemiology includes
susceptibility, infectiousness, contact preferences of an individual. Also, the chance of …

Optimal control strategy for adherence to different treatment regimen in various stages of tuberculosis infection

A Khatua, DK Das, TK Kar - The European Physical Journal Plus, 2021 - epjplus.epj.org
In this article, we propose a new mathematical model for tuberculosis considering the
infectivity of both smear-positive and smear-negative individuals, searching for an efficient …

Mathematical Analysis of Tuberculosis Transmission Model with Multidrug and Extensively Drug-resistant Incorporating Chemoprophylaxis Treatment

DB Kitaro, BK Bole, KP Rao - Jambura Journal of Mathematics, 2024 - ejurnal.ung.ac.id
Tuberculosis has remained the principal cause of mortality worldwide, and one of the major
sources of concern is drug-resistant TB. The increasing emergence of extensively drug …

Backward bifurcation and optimal control problem for a tuberculosis model incorporating LTBI detectivity and exogenous reinfection

S Huang, Z Liu, L Wang - Mathematics and Computers in Simulation, 2024 - Elsevier
The detection of latent tuberculosis infection (LTBI) is one of the vital means in controlling
the spread of TB. The dynamical properties of a mathematical model with LTBI detectivity …

A tuberculosis model with the impact of sputum smear microscopy

A Srivastava, PK Srivastava - Journal of Applied Mathematics and …, 2024 - Springer
This paper proposes and analyzes a five-dimensional tuberculosis model incorporating slow-
fast progression, endogenous reactivation, exogenous reinfection, and the assumption that …