A mathematical model of tuberculosis transmission with heterogeneity in disease susceptibility and progression under a treatment regime for infectious cases

DOI10.1016/j.apm.2013.01.039zbMath1426.92082OpenAlexW2042655189MaRDI QIDQ1788970

Daniel Okuonghae

Publication date: 9 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.01.039

zbMATH Keywords

heterogeneitymathematical modeltuberculosistreatmentgeneticself cure

Mathematics Subject Classification ID

Epidemiology (92D30) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (13)

Transmission dynamics of tuberculosis with multiple re-infections ⋮ Stability analysis of a dynamical model of tuberculosis with incomplete treatment ⋮ A fractional order COVID-19 epidemic model with Mittag-Leffler kernel ⋮ A case study of fractal-fractional tuberculosis model in China: existence and stability theories along with numerical simulations ⋮ Unnamed Item ⋮ INVESTIGATING FRACTAL-FRACTIONAL MATHEMATICAL MODEL OF TUBERCULOSIS (TB) UNDER FRACTAL-FRACTIONAL CAPUTO OPERATOR ⋮ Mathematical model for control of tuberculosis epidemiology ⋮ Analyzing the MERS disease control strategy through an optimal control problem ⋮ Analysis of a mathematical model for tuberculosis with diagnosis ⋮ Mathematical analysis of a tuberculosis model with imperfect vaccine ⋮ A Medical Modelling Using Multiple Linear Regression ⋮ Dynamics of Inter-community Spread of Covid-19 ⋮ Lyapunov functions and global properties of some tuberculosis models

Cites Work

• Unnamed Item
• Effects of treatment or/and vaccination on HIV transmission in homosexuals with genetic heterogeneity
• Dynamical models of tuberculosis and their applications
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Comparing epidemic tuberculosis in demographically distinct heterogeneous populations
• On treatment of tuberculosis in heterogeneous populations
• Analysis of a mathematical model for tuberculosis: what could be done to increase case detection
• The Mathematics of Infectious Diseases
• Dynamics of Tuberculosis: The effect of Direct Observation Therapy Strategy (DOTS) in Nigeria
• CASE DETECTION AND DIRECT OBSERVATION THERAPY STRATEGY (DOTS) IN NIGERIA: ITS EFFECT ON TB DYNAMICS
• A Mathematical Model of HIV Transmission in Homosexuals with Genetic Heterogeneity
• A model for tuberculosis with exogenous reinfection

This page was built for publication: A mathematical model of tuberculosis transmission with heterogeneity in disease susceptibility and progression under a treatment regime for infectious cases