A fast algorithm for the spread of HIV in a system of prisons

Wai Ki Ching; Yang Cong; Tuen Wai Ng; Allen H. Tai

doi:10.1016/j.mcm.2007.01.002

A fast algorithm for the spread of HIV in a system of prisons

Wai Ki Ching
, Yang Cong
, Tuen Wai Ng
, Allen H. Tai

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1247-1255
Number of pages	9
Journal	Mathematical and Computer Modelling
Volume	46
Issue number	9-10
DOIs	https://doi.org/10.1016/j.mcm.2007.01.002
Publication status	Published - Nov 2007

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Epidemic model
Equilibrium point
HIV
Newton's method
Prison system
Sherman-Morrison-Woodbury formula

ASJC Scopus subject areas

Modelling and Simulation
Computer Science Applications

More information

10.1016/j.mcm.2007.01.002

Cite this

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title = "A fast algorithm for the spread of HIV in a system of prisons",

abstract = "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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AU - Ching, Wai Ki

AU - Cong, Yang

AU - Ng, Tuen Wai

AU - Tai, Allen H.

PY - 2007/11

Y1 - 2007/11

N2 - 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.

AB - 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.

KW - Epidemic model

KW - Equilibrium point

KW - HIV

KW - Newton's method

KW - Prison system

KW - Sherman-Morrison-Woodbury formula

UR - https://www.scopus.com/pages/publications/34548415772

U2 - 10.1016/j.mcm.2007.01.002

DO - 10.1016/j.mcm.2007.01.002

M3 - Journal article

AN - SCOPUS:34548415772

SN - 0895-7177

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EP - 1255

JO - Mathematical and Computer Modelling

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IS - 9-10

ER -

A fast algorithm for the spread of HIV in a system of prisons

Abstract

UN SDGs

Keywords

ASJC Scopus subject areas

More information

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