@article{PAR00000956,
  title = {{M}odeling the {HIV}/{AIDS} epidemic among injecting drug users and sex workers in {K}unming, {C}hina},
  author = {{B}aca{\¨e}r, {N}icolas and {A}bdurahman, {X}. and {Y}e, {J}.{L}.},
  editor = {},
  language = {{ENG}},
  abstract = {{T}his paper presents a mathematical model of the {HIV}/{AIDS} epidemic in {K}unming, the provincial capital of {Y}unnan, {C}hina. {T}he population is divided into several groups, with individuals possibly changing group. {T}wo transmission routes of {HIV} are considered: needle sharing between injecting drug users ({IDU}s) and commercial sex between female sex workers ({FSW}s) and clients. {T}he model includes male {IDU}s who are also clients and female {IDU}s who are also {FSW}s. {G}roups are split in two-risky and safe-according to condom use and needle sharing. {A} system of partial differential equations is derived to describe the spread of the disease. {F}or the simulation, parameters are chosen to fit as much as possible data publicly available for {K}unming. {S}ome mathematical properties of the model-in particular the epidemic threshold {R}-0 which determines the goal of public health interventions-are also presented. {T}hough the model couples two transmission routes of {HIV}, the approximation {R}-0 similar or equal to max{{R}-0({IDU}), {R}-0({SCX})}, with closed formulas for {R}-0({IDU}) and {R}-0({SEX}), appears to be quite good. {T}he critical levels of condom use and clean needle use necessary to stop both the sexual transmission and the transmission among, {IDU}s can therefore be determined independently.},
  keywords = {{HIV}/{AIDS} ; {K}ermack {M}c{K}endrick epidemic model ; {R} 0 ; female sex workers ; injecting drug users ; {C}hina},
  booktitle = {},
  journal = {{B}ulletin of {M}athematical {B}iology},
  volume = {68},
  numero = {3},
  pages = {525--550},
  ISSN = {0092-8240},
  year = {2006},
  DOI = {10.1007/s11538-005-9051-y},
  URL = {https://www.documentation.ird.fr/hor/{PAR}00000956},
}