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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Time-scale analysis nonlocal diffusion systems, applied to disease models

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Author(s):
Pereira, Marcone [1] ; Oliva, Sergio [1] ; Sartori, Larissa [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, IME, Dept Mat Aplicada, Rua Matao 1-010, Sao Paulo 05508900 - Brazil
Total Affiliations: 1
Document type: Journal article
Source: MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 43, n. 15 MAY 2020.
Web of Science Citations: 0
Abstract

The objective of the present paper is to use the well-known Ross-Macdonald models as a prototype, incorporating spatial movements, identifying different time scales and proving a singular perturbation result using a system of local and nonlocal 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, nonlocal in space. (AU)

FAPESP's process: 19/06221-5 - Spectral analysis of linear operators given by nonlocal model for dispersion and diffusion
Grantee:Marcone Corrêa Pereira
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 17/02630-2 - Asymptotic analysis in differential and integral equations
Grantee:Marcone Corrêa Pereira
Support Opportunities: Regular Research Grants