Mathematical analysis of the transmission dynamics of HIV syphilis co-infection in the presence of treatment for syphilis

DOI10.1007/s11538-017-0384-0zbMath1391.92051OpenAlexW2777837339WikidataQ47560074 ScholiaQ47560074MaRDI QIDQ1747643

Daniel Okuonghae, A. Nwankwo

Publication date: 26 April 2018

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-017-0384-0

zbMATH Keywords

mathematical modelbackward bifurcationco-infectionglobal statbilitysensitivity and uncertainty analysis

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Medical epidemiology (92C60)

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Cites Work

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• A mathematical model of syphilis transmission in an MSM population
• Model for hepatitis C virus transmissions
• Causes of backward bifurcations in some epidemiological models
• Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment
• Stability analysis of an HIV/AIDS epidemic model with treatment
• Backward bifurcation in epidemic control
• Dynamical models of tuberculosis and their applications
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Analysis of a mathematical model for tuberculosis: what could be done to increase case detection
• Population dynamics of a mathematical model for syphilis
• Modelling and analysis of the spread of AIDS epidemic with immigration of HIV infectives
• Modelling the spread of AIDS epidemic with vertical transmission
• The Mathematics of Infectious Diseases
• A New Mathematical Model of Syphilis
• Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example