HIV Model Described by Differential Inclusions

  • Jorge Barrios
  • Alain Piétrus
  • Aymée Marrero
  • Héctor de Arazoza
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5517)

Abstract

Infected population size estimation is a common problem in HIV/AIDS epidemic analysis and it is the most important aspect for planning appropriate care and prevention policies. Some Ordinary Differential Equations models of HIV epidemic in Cuba considering the Contact Tracing strategy have been described in previous works. In this paper we present a HIV/AIDS model described by Differential Inclusions. Also, we establish a mathematical framework allowing us to make suitable prediction of the size HIV infected population at a future time.

Keywords

Reachable Sets Differential Inclusion Contact Tracing HIV AIDS 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Jorge Barrios
    • 1
    • 2
  • Alain Piétrus
    • 1
  • Aymée Marrero
    • 2
  • Héctor de Arazoza
    • 2
  1. 1.Département de Mathématiques et InformatiqueLaboratoire Analyse, Optimisation, Contrôle, Université des Antilles et de la GuyanePointe-à-PitreFrance
  2. 2.Facultad de Matemática y ComputaciónUniversidad de La HabanaLa HabanaCuba

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