Global dynamics of a tuberculosis transmission model with age of infection and incomplete treatment

DOI10.1186/s13662-017-1294-zzbMath1422.92175OpenAlexW2745662961WikidataQ59524530 ScholiaQ59524530MaRDI QIDQ1629902

Fengqin Zhang, Rui Xu, Xiaohong Tian

Publication date: 7 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1294-z

zbMATH Keywords

stabilityLyapunov functionaltuberculosisage structureLasalle's invariance principle

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)

Related Items (8)

Dynamical analysis of an age-structured tuberculosis mathematical model with LTBI detectivity ⋮ An analytical approach to determining the coefficients in Lyapunov direct method: with application to an age-structured epidemiological model ⋮ Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition ⋮ Mathematical analysis of a SIPC age-structured model of cervical cancer ⋮ Bifurcation analysis of an age-structured SIRI epidemic model ⋮ The global dynamics for an age-structured tuberculosis transmission model with the exponential progression rate ⋮ Mathematical analysis of an age-structured HIV-1 infection model with CTL immune response ⋮ Global dynamics for a TB transmission model with age-structure and delay

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