Time-scale analysis non-local diffusion systems, applied to disease models
Analysis of PDEs
2023-07-19 v1
Abstract
The objective of the present paper is to use the well known Ross-Macdonald models as a prototype, incorporating spatial movements, identifying different times scales and proving a singular perturbation result using a system of local and non-local diffusion. This results can be applied to the prototype model, where the vector has a fast dynamics, local in space, and the host has a slow dynamics, non-local in space.
Cite
@article{arxiv.2005.04303,
title = {Time-scale analysis non-local diffusion systems, applied to disease models},
author = {Marcone C. Pereira and Sergio Oliva and Larissa M. Sartori},
journal= {arXiv preprint arXiv:2005.04303},
year = {2023}
}