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Mathematical and Computer Modelling
Article
License: Elsevier Non-Commercial
Data sources: UnpayWall
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Mathematical and Computer Modelling
Article . 2011
License: Elsevier Non-Commercial
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Mathematical and Computer Modelling
Article . 2011 . Peer-reviewed
License: Elsevier Non-Commercial
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Global stability for a tuberculosis model

Authors: Tailei Zhang; Junli Liu;

Global stability for a tuberculosis model

Abstract

A deterministic model is developed to describe the effects of vaccination and treatment on the spread of tuberculosis. It is shown that the basic reproduction number characterizes the disease transmission dynamics: if R"[email protected]?1, there exists only the disease-free equilibrium which is globally asymptotically stable, and if R"0>1 then there is a disease endemic equilibrium and the disease persists. Global stability of the endemic equilibrium is also discussed. Analysis of the dependence of R"0 on the vaccination rate, vaccine efficacy and treatment rate shows that the spread of tuberculosis can be controlled if the vaccine rate or the efficacy or the treatment rate reaches a certain threshold.

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Keywords

Modelling and Simulation, Computer Science Applications

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
73
Top 1%
Top 10%
Average
hybrid