TY - JOUR
T1 - The spread of AIDS among interactive transmission groups
AU - Haynatzka, V. R.
AU - Gani, J.
AU - Rachev, S. T.
PY - 2000/7
Y1 - 2000/7
N2 - 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.
AB - 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.
KW - AIDS epidemic
KW - Diffusions with interacting drifts
KW - Probability metrics
KW - Rate of convergence
UR - http://www.scopus.com/inward/record.url?scp=0034234189&partnerID=8YFLogxK
U2 - 10.1016/S0895-7177(00)00127-8
DO - 10.1016/S0895-7177(00)00127-8
M3 - Article
AN - SCOPUS:0034234189
SN - 0895-7177
VL - 32
SP - 169
EP - 180
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
IS - 1-2
ER -