Skip to main content

Demography in Epidemics Modelling: The Copula Approach

  • Conference paper
Functional Statistics and Applications

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

  • 955 Accesses

Abstract

Classical models of epidemics by Ross and McKendrick have to be revisited in order to take into account the demography (fecundity and migration) both of host and vector populations and also diffusion and mutation of infectious agents. We will study three models along different age classes of human, with and without mosquitoes by using the copula function, and we will conduct a simulation study for two of these models.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Demongeot, J.: Biological boundaries and biological age. Acta Biotheor. 57, 397–419 (2009)

    Article  Google Scholar 

  2. Gaudart, J., Ghassani, M., Mintsa, J., Waku, J., Rachdi, M., Doumbo, O.K., Demongeot, J.: Demographic and spatial factors as causes of an epidemic spread, the copula approach. In: IEEE Advanced Information Networking and Application (AINA’10, Perth, April 2010). IEEE Proceedings, Piscataway, pp. 751–758 (2010)

    Google Scholar 

  3. Demongeot, J., Waku, J.: Counter-examples for the population size growth in demography. Math. Popul. Stud. 12, 199–210 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  4. Cox, W.O.: Regression models and life-tables. J. R. Stat. Soc. Ser. B Methodol. 34, 187–220 (1972)

    MATH  Google Scholar 

  5. Macdonald, G.: The Epidemiology and Control of Malaria. Oxford University Press, London (1957)

    Google Scholar 

  6. Nelsen, R.B.: Copulas and association. In: Advances in Probability Distributions with Given Marginals. Beyond the Copulas, pp. 51–74. Kluwer, Dordrecht (1991)

    Google Scholar 

  7. Kermack, W.O., McKendrick, A.G.: Contributions to the mathematical theory of epidemics II. The problem of endemicity. Proc. R. Soc. Lond. Ser. A 138, 55–83 (1932)

    Article  Google Scholar 

  8. Gaudart, J., Ghassani, M., Mintsa, J., Rachdi, M., Waku, J., Demongeot, J.: Demography and diffusion in epidemics: Malaria and black death spread. Acta Biotheor. 58, 277–305 (2010)

    Article  Google Scholar 

  9. Demongeot, J., Gaudart, J., Mintsa, J., Rachdi, M.: Demography in epidemics modelling. Commun. Pure Appl. Anal. 11, 61–82 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  10. Demongeot, J., Gaudart, J., Lontos, A., Promayon, E., Mintsa, J., Rachdi, M.: Least diffusion zones in morphogenesis and epidemiology, Int. J. Bifurcation Chaos 22, 1250028 (2012)

    Article  Google Scholar 

  11. Demongeot, J., Ghassani, M., Rachdi, M., Ouassou, I., Taramasco, C.: Archimedean copula and contagion modeling in epidemiology. Netw. Heterogeneous Media 8, 149–170 (2013)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgements

We indebted to Campus France CMCU for supporting us with the grant PHC Maghreb SCIM.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jacques Demongeot .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Demongeot, J., Ghassani, M., Hazgui, H., Rachdi, M. (2015). Demography in Epidemics Modelling: The Copula Approach. In: Ould Saïd, E., Ouassou, I., Rachdi, M. (eds) Functional Statistics and Applications. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-22476-3_10

Download citation

Publish with us

Policies and ethics