The spread of AIDS among interactive transmission groups

V. R. Haynatzka, J. Gani, S. T. Rachev

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We consider the spread of an AIDS epidemic among N interacting communities (cities, say), each having at least one of the major four HIV transmission groups: (i) homosexual/bisexual men, (ii) blood transfusion recipients, (iii) intravenous drug users, or (iv) heterosexuals. Our model consists of a system of 4N differential equations (d.e.s). We show that as N →∞, the number of infectives in each community converges to the unique solution of a Liouville type stochastic differential equation (s.d.e.). (C) 2000 Elsevier Science Ltd.

Original languageEnglish
Pages (from-to)169-180
Number of pages12
JournalMathematical and Computer Modelling
Issue number1-2
StatePublished - Jul 2000


  • AIDS epidemic
  • Diffusions with interacting drifts
  • Probability metrics
  • Rate of convergence


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