Skip to main content
SpringerLink
Log in

HIV Model Described by Differential Inclusions

  • Conference paper
Book cover Bio-Inspired Systems: Computational and Ambient Intelligence (IWANN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5517))

Included in the following conference series:

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Lounes, R., De Arazoza, H.: A two-type model for the Cuban national programme on HIV/AIDS. IMA. J. Math. Appl. Med. Biol. 16, 143–154 (1999)

    Article  MATH  Google Scholar 

  2. De Arazoza, H., Lounes, R.: A non-linear model for sexually transmitted disease with contact tracing. IMA. J. Math. Appl. Med. Biol. 19, 221–234 (2002)

    Article  MATH  Google Scholar 

  3. Aubin, J.-P., Cellina, A.: Differential Inclusions, Set-Valued Maps and Viability Theory. Springer, Heidelberg (1984)

    Book  MATH  Google Scholar 

  4. Aubin, J.-P., Frankowska, H.: Set-Valued Analysis. Birkhäuser, Basel (1990)

    MATH  Google Scholar 

  5. Lempio, F., Veliov, V.: Discrete approximation of differential inclusions. Bayreuther Mathematische Schriften 54, 149–232 (1998)

    MathSciNet  MATH  Google Scholar 

  6. Veliov, V.: On the time-discretization of control systems. SIAM J. Cont. Optim. 35(5), 1470–1486 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  7. Atencia, M., Joya, G., García-Garaluz, E., De Arazoza, H., Sandoval, F.: Estimation of the Rate of Detection of Infected Individuals in an Epidemiological Model. In: Sandoval, F., Prieto, A.G., Cabestany, J., Graña, M. (eds.) IWANN 2007. LNCS, vol. 4507, pp. 948–955. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques et Informatique, Laboratoire Analyse, Optimisation, Contrôle, Université des Antilles et de la Guyane, Campus de Fouillole, F-97159, Pointe-à-Pitre, France

    Jorge Barrios & Alain Piétrus

  2. Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L, Vedado, La Habana, Cuba

    Jorge Barrios, Aymée Marrero & Héctor de Arazoza

Authors
  1. Jorge Barrios
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alain Piétrus
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Aymée Marrero
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Héctor de Arazoza
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Departamento de Ingeniería Electrónica, Universitat Politècnica de Catalunya (UPC). E.T.S.I. de Telecomunicación., , , ,, Campus Norte, Edificio C4, C/ Jordi Girona, 1-3, E08034, Barcelona, Spain

    Joan Cabestany

  2. Grupo ISIS, Dpto. Tecnología Electrónica ETSI Telecomunicación, Universidad de Málaga, Campus de Teatinos, 29071, Málaga, Spain

    Francisco Sandoval

  3. Department of Computer Architecture and Computer Technology, University of Granada, Spain

    Alberto Prieto

  4. Department of Informatics, University of Salamanca, Salamanca, Spain

    Juan M. Corchado

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Barrios, J., Piétrus, A., Marrero, A., de Arazoza, H. (2009). HIV Model Described by Differential Inclusions. In: Cabestany, J., Sandoval, F., Prieto, A., Corchado, J.M. (eds) Bio-Inspired Systems: Computational and Ambient Intelligence. IWANN 2009. Lecture Notes in Computer Science, vol 5517. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02478-8_114

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02478-8_114

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02477-1

  • Online ISBN: 978-3-642-02478-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation