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GLOBAL DYNAMICS IN A TB MODEL INCORPORATING CASE DETECTION AND TWO TREATMENT STAGES
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Journal Article
GLOBAL DYNAMICS IN A TB MODEL INCORPORATING CASE DETECTION AND TWO TREATMENT STAGES
2008
Overview
Case detection of an infectious individual and differentiation of infectiveness of a treated patient during two different stages of treatment are recognized as among key factors for the successful control and management of tuberculosis (TB) transmission. In this paper, a dynamic compartmental model is developed that incorporates these factors, and proofs are provided to show that the model's global dynamics are completely characterized by the control reproduction number, and in particular the disease eradication condition in terms of the case detection fraction is obtained, along with some numerical simulations.
Publisher
The Rocky Mountain Mathematics Consortium,Rocky Mountain Mathematics Consortium
