Global dynamics of a tuberculosis epidemic model and the influence of backward bifurcation
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Publication:359412
DOI10.1007/s10852-012-9210-8zbMath1270.34085OpenAlexW2035689667MaRDI QIDQ359412
Prasanta Kumar Mondal, Tapan Kumar Kar
Publication date: 12 August 2013
Published in: JMMA. Journal of Mathematical Modelling and Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10852-012-9210-8
Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (10)
Transmission dynamics of tuberculosis with multiple re-infections ⋮ Modeling and analysis of an \(SI_1I_2R\) epidemic model with nonlinear incidence and general recovery functions of \(I_1\) ⋮ Dynamical behavior of an epidemic model with fuzzy transmission and fuzzy treatment control ⋮ Dynamics of tuberculosis transmission with exogenous reinfections and endogenous reactivation ⋮ Analysis of a fuzzy epidemic model with saturated treatment and disease transmission ⋮ Analysis of a tuberculosis model with undetected and lost-sight cases ⋮ Application of optimal control to the onchocerciasis transmission model with treatment ⋮ The impact of the media awareness and optimal strategy on the prevalence of tuberculosis ⋮ Backward bifurcation in epidemic models: problems arising with aggregated bifurcation parameters ⋮ Global analysis of tuberculosis dynamical model and optimal control strategies based on case data in the United States
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