Analysis of an In-host Tuberculosis Model for Disease Control

Wenjing Zhang

Analysis of an In-host Tuberculosis Model for Disease Control

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

Tuberculosis is still a global threat to humans. In this letter, we analyzed a four-dimensional with-in host tuberculosis infection model and obtain thresholds for basic reproduction number and forward-backward bifurcation. Global sensitivity provide parameters significantly influencing the model dynamics. Bifurcation analysis and diagrams show parameter regions for disease elimination, latency, and active disease. Numerical simulations prove analytical results and demonstrate bistable model dynamics.

Original language	English
Journal	Applied Mathematics Letters
State	Published - Jan 2020

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title = "Analysis of an In-host Tuberculosis Model for Disease Control",

abstract = "Tuberculosis is still a global threat to humans.In this letter, we analyzed a four-dimensionalwith-in host tuberculosis infection model andobtain thresholds for basic reproduction numberand forward-backward bifurcation.Global sensitivity provide parameters significantly influencing the modeldynamics. Bifurcation analysis and diagrams show parameter regionsfor disease elimination, latency, and active disease.Numerical simulations prove analytical results anddemonstrate bistable model dynamics.",

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AB - Tuberculosis is still a global threat to humans.In this letter, we analyzed a four-dimensionalwith-in host tuberculosis infection model andobtain thresholds for basic reproduction numberand forward-backward bifurcation.Global sensitivity provide parameters significantly influencing the modeldynamics. Bifurcation analysis and diagrams show parameter regionsfor disease elimination, latency, and active disease.Numerical simulations prove analytical results anddemonstrate bistable model dynamics.

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

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