 |
|
|
|
| HAL : hal-00528471, version 2 |
| arXiv : 1010.4618 |
| Fiche détaillée |  Récupérer au format |
|
|
| Versions disponibles : | v1 (22-10-2010) | v2 (14-02-2012) |
|
|
|
|
| Growth of a population of bacteria in a dynamical hostile environment |
|
|
| Olivier Garet 1Régine Marchand 1 |
|
|
| (13/02/2012) |
|
|
|
| We study the growth of a population of bacteria in a dynamical hostile environment corresponding to the immune system of the colonised organism. The immune cells evolve as subcritical open clusters of oriented percolation and are perpetually reinforced by an immigration process, while the bacteria try to grow as a supercritical oriented percolation in the remaining empty space. For appropriate values of the parameters, we prove that the population of bacteria grows linearly. In this perspective, we build general tools to study dependent percolation models issued from renormalization processes. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Institut Elie Cartan Nancy (IECN) |
|
|
|
CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) |
|
|
|
|
|
|
|
|
|
| Probabilités et statistiques |
|
|
|
|
| Domaine | : | Mathématiques/Probabilités |
|
|
| contact process – directed percolation – renormalization – stochastic domination – random environment – block construction – interacting particle system |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00528471, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00528471 | |
| oai:hal.archives-ouvertes.fr:hal-00528471 | |
| Contributeur : Olivier Garet | |
| Soumis le : Mardi 14 Février 2012, 07:23:18 | |
| Dernière modification le : Jeudi 15 Mars 2012, 10:51:42 | |
