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arXiv · 2005.04303

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

Marcone C. Pereira·Sergio Oliva·Larissa M. Sartori
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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.

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Marcone C. Pereira, Sergio Oliva, Larissa M. Sartori. 2020-05-08. Time-scale analysis non-local diffusion systems, applied to disease models. https://doi.org/10.1002/mma.6522

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