Bifurcation analysis for an in-host \textit{Mycobacterium tuberculosis} model

DOI10.3934/DCDSB.2020324zbMath1466.92217OpenAlexW3097458977MaRDI QIDQ2033453

Wendi Wang, Miaoran Yao, Yong-xin Zhang

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020324

zbMATH Keywords

immune responseBogdanov-Takens bifurcationbackward bifurcationcodimension 3slow-fast oscillation

Mathematics Subject Classification ID

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

Related Items (2)

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Cites Work

• Multiparametric bifurcations of an epidemiological model with strong Allee effect
• A mathematical model with optimal controls for cellular immunology of tuberculosis
• Mathematical analysis of macrophage-bacteria interaction in tuberculosis infection
• Dynamical models of tuberculosis and their applications
• A mathematical model for cellular immunology of tuberculosis
• The human immune response to \textit{Mycobacterium tuberculosis} in lung and lymph node
• Analysis of an in-host tuberculosis model for disease control
• A population model capturing dynamics of tuberculosis granulomas predicts host infection outcomes
• Mathematical model for the growth of mycobacterium tuberculosis in the granuloma
• Nilpotent singularities and dynamics in an SIR type of compartmental model with hospital resources
• A simple in-host model for Mycobacterium tuberculosis that captures all infection outcomes
• CLOSED-FORM CONDITIONS OF BIFURCATION POINTS FOR GENERAL DIFFERENTIAL EQUATIONS

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