This note considers the spread of HIV in a single prison where there is a constant rate of departure and replacement of prisoners. Some of the incoming prisoners will be HIV , and homogeneous mixing within the prison is assumed. HIV is thus spread sexually or by the sharing of intravenous drug users
A fast algorithm for the spread of HIV in a system of prisons
โ Scribed by Wai-Ki Ching; Yang Cong; Tuen-Wai Ng; Allen H. Tai
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 208 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0895-7177
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โฆ Synopsis
In this paper, we propose a continuous time model for modelling the spread of HIV in a network of prisons. We give some sufficient conditions for the equilibrium points of the system to be stable. We also develop an efficient algorithm based on Newton's method and the Sherman-Morrison-Woodbury formula for computing the equilibrium values of the infectives in each prison.
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