Optimal Control of the Lost to Follow Up in a Tuberculosis Model
نویسندگان
چکیده
This paper deals with the problem of optimal control for the transmission dynamics of tuberculosis (TB). A TB model that considers the existence of a new class (mainly in the African context) is considered: the lost to follow up individuals. Based on the model formulated and studied in the work of Plaire Tchinda Mouofo, (2009), the TB control is formulated and solved as an optimal control theory problem using the Pontryagin's maximum principle (Pontryagin et al., 1992). This control strategy indicates how the control of the lost to follow up class can considerably influence the basic reproduction ratio so as to reduce the number of lost to follow up. Numerical results show the performance of the optimization strategy.
منابع مشابه
The Effectiveness of Transformation Model-Relationship-Based Differences (DIR) on Internet addiction in female students (aged 12-9) in follow-up to six months
The purpose of this study was to investigate the effectiveness of DIR-based transformation-change model on reducing internet addiction among female students of Mashhad city. In a semi-experimental design, 30 female students (9-12 years old) who were selected by multi-stage cluster sampling were randomly assigned into two experimental and control groups. For the experimental group, eight session...
متن کاملGlobal properties of a tuberculosis model with lost sight and multi-compartment of latents
A tuberculosis (TB) model with lost sight and multiple latent classes is considered and studied. We derive the basic reproduction ratio $mathcal R_0$. There is always a globally asymptotically stable equilibrium state. Depending on the value of $mathcal{R}_0$, this state can be either endemic ($mathcal{R}_0> 1$), or infection-free ($mathcal{R}_0leq 1$). The global asymptotic stability of ...
متن کاملارزیابی تاثیر مدل مراقبت پیگیر بر درمان بیماریهای مزمن
Introduction: Continuous Care Model has been designed and evaluated in relation to patients with chronic coronary artery disease by Ahmadi in 2001. This model consists of four stages of integration: orientation, sensitization, control, and evaluation. This review article aimed to introduce a continuous care model, approaches and perspective model, and explain the results of the articles which u...
متن کاملOptimal ordering quantities for substitutable deteriorating items under joint replenishment with cost of substitution
In this paper we develop an inventory model, to determine the optimal ordering quantities, for a set of two substitutable deteriorating items. In this inventory model the inventory level of both items depleted due to demands and deterioration and when an item is out of stock, its demands are partially fulfilled by the other item and all unsatisfied demand is lost. Each substituted item incurs a...
متن کاملIsolated Talonavicular Joint Tuberculosis in a Child – Rare Location of Koch’s Bacillus: A Case Report
Tuberculosis of the foot is an uncommon entity and the reported incidence is 0.1% to 0.3%. The isolated tuberculosis of talonavicular joint is exceptionally rare. In tuberculosis of the foot and ankle, the presentation is usually nonspecific. The diagnosis of tuberculosis affecting foot is difficult, especially when it is isolated. In doubtful cases, diagnosis should be confirmed by histopathol...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
دوره 2011 شماره
صفحات -
تاریخ انتشار 2011