کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
766898 897131 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimal intervention strategies for tuberculosis
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Optimal intervention strategies for tuberculosis
چکیده انگلیسی

This paper deals with the problem of optimal control of a deterministic model of tuberculosis (abbreviated as TB for tubercle bacillus). We first present and analyze an uncontrolled tuberculosis model which incorporates the essential biological and epidemiological features of the disease. The model is shown to exhibit the phenomenon of backward bifurcation, where a stable disease-free equilibrium co-exists with one or more stable endemic equilibria when the associated basic reproduction number is less than the unity. Based on this continuous model, the tuberculosis control is formulated and solved as an optimal control problem, indicating how control terms on the chemoprophylaxis and detection should be introduced in the population to reduce the number of individuals with active TB. Results provide a framework for designing the cost-effective strategies for TB with two intervention methods.


► This paper proposes optimal intervention strategies for tuberculosis in a population.
► A tuberculosis model that takes into account the class of undiagnosed infectious is proposed.
► We also present an optimal control strategy to reduce the burden of the disease.
► Cost-effective balance of chemoprophylaxis and detection methods can successfully control tuberculosis.
► We found that the infection level decreases, but is never eradicated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 6, June 2013, Pages 1441–1453
نویسندگان
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