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

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

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)


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 languageEnglish
Pages (from-to)1247-1255
Number of pages9
JournalMathematical and Computer Modelling
Issue number9-10
Publication statusPublished - Nov 2007


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

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computer Science Applications


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