Ergodicity and hydrodynamic limits for an epidemic model

Details Ergodicity and hydrodynamic limits for an epidemic model Ergodicity and hydrodynamic limits for an epidemic model

2007-10-27

arxiv.org/abs/0710.5185v1

Mathematics

Probability

Scientific paper

We consider two approaches to study the spread of infectious diseases within a spatially structured population distributed in social clusters. According whether we consider only the population of infected individuals or both populations of infected individuals and healthy ones, two models are given to study an epidemic phenomenon. Our first approach is at a microscopic level, its goal is to determine if an epidemic may occur for those models. The second one is the derivation of hydrodynamics limits. By using the relative entropy method we prove that the empirical measures of infected and healthy individuals converge to a deterministic measure absolutely continuous with respect to the Lebesgue measure, whose density is the solution of a system of reaction-diffusion equations.

Affiliated with

Also associated with

No associations

Rating

Ergodicity and hydrodynamic limits for an epidemic model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ergodicity and hydrodynamic limits for an epidemic model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ergodicity and hydrodynamic limits for an epidemic model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-468585