A non linear model for a sexually transmitted disease with contact tracing.

Hector de Arazoza (1, 2) , Rachid Lounes (3, 4)

1 MATCOM - Matematica y Computacion
2 Facultad de Matematica y Computacion
3 MAP5 - Mathématiques Appliquées à Paris 5
4 UPD5 Mathématiques Informatique - Université Paris Descartes - UFR de Mathématiques et Informatique

A non-linear model is developed for an epidemic with contact tracing, and its dynamic is studied. We present the data for the Cuban HIV/AIDS epidemic and fit the non-linear model, we obtain estimates for the size of the Cuban HIV epidemic, and for the mean time for detecting a person that is infected with HIV.

Keywords: HIV/AIDS epidemic; contact tracing; epidemic control; deterministic model

Domains: Mathematics [math]; Dynamical Systems [math.DS]; Statistics [stat]; Applications [stat.AP]; Life Sciences [q-bio]; Santé publique et épidémiologie

Hector de Arazoza, Rachid Lounes. A non linear model for a sexually transmitted disease with contact tracing.. IMA Journal of Mathematics Applied in Medicine and Biology, 2002, 19 (3), pp.221-234. ⟨10.1093/imammb/19.3.221⟩. ⟨hal-00263895⟩