Time-scale analysis non-local diffusion systems, applied to disease models

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 prototy...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Pereira, Marcone C, Oliva, Sergio, Sartori, Larissa M
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.05.2020
Subjects
Mathematics - Analysis of PDEs
Prototypes
Singular perturbation
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2005.04303