Skip to Main content Skip to Navigation
New interface
Theses

Dynamiques épidémiques, risques et copules

Abstract : The stochastic classical models include linear interactions copulas, expressing in general pair interactions. It is planned to extend these models to nonlinear interactions of saturation type or triplet type, to treat realistic applications, as the epidemics diffusions.The aim of this thesis is to apply the copulas functions in epidemiology, and especially to apply these functions in the transmission system of malaria to detect the dependence existing between compartments of the epidemic system. We will study some compartmental models, which are a generalization of the Ross-Macdonald model, assuming that the population is not constant and taking into account the transmission parameters such as fertility, mortality, etc. Also, we will introduce the age classes in some of these compartmental models, and study the relationships between individuals of these age classes, using the Cox model and the copulas functions. Then, we will give two examples of these models: the Malaria in Mali and the plague in Europe during the Middle Ages. We will introduce also the conditional quantiles and the Archimedean copulas functions, that will lead us to find dependencies between the different compartments of hosts and vectors.
Document type :
Theses
Complete list of metadata

https://tel.archives-ouvertes.fr/tel-00947345
Contributor : ABES STAR :  Contact
Submitted on : Saturday, February 15, 2014 - 2:42:09 PM
Last modification on : Wednesday, September 28, 2022 - 4:20:11 PM
Long-term archiving on: : Thursday, May 15, 2014 - 11:35:58 AM

File

31598_GHASSANI_2012_archivage....
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-00947345, version 1

Collections

EPHE | UGA | CNRS | STAR | AGIM | PSL

Citation

Mohamad Ghassani. Dynamiques épidémiques, risques et copules. Médecine humaine et pathologie. Université de Grenoble, 2012. Français. ⟨NNT : 2012GRENS027⟩. ⟨tel-00947345⟩

Share

Metrics

Record views

341

Files downloads

559