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Journal of Applied Mathematics and Computing

Erschienen in:

01.06.2015 | Original Research

Lyapunov functions and global properties of some tuberculosis models

verfasst von: D. Okuonghae

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2015

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Abstract

This work examines the global stability of the disease equilibria of three tuberculosis mathematical models that considered the effect of case detection vis a vis the implementation of the direct observation therapy strategy, factors that enhances the case detection rate and effect of heterogeneity in susceptibility and disease progression. Both linear and non-linear Lyapunov functions are constructed and used to show that the disease-free equilibrium is globally asymptotically stable when the corresponding effective reproduction number is less than or equal to one. However, under some special cases where the disease-induced death is insignificant, the endemic equilibrium is globally asymptotically stable when the effective reproduction number is greater than one.

Vorheriger Artikel Higher-order symmetric duality with higher-order generalized invexity

Nächster Artikel On the dynamics of a stochastic ratio-dependent predator–prey model with a specific functional response

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Titel: Lyapunov functions and global properties of some tuberculosis models
verfasst von: D. Okuonghae
Publikationsdatum: 01.06.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2015
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-014-0811-4

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