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Existence and estimation of the Hausdorff dimension of attractors for an epidemic model
Author(s) -
Anguiano María
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4008
Subject(s) - pullback attractor , pullback , mathematics , attractor , hausdorff dimension , hausdorff space , dimension (graph theory) , effective dimension , pure mathematics , hausdorff measure , hausdorff distance , mathematical analysis
We prove the existence of pullback and uniform attractors for the process associated to a non‐autonomous SIR model, with several types of non‐autonomous features. The Hausdorff dimension of the pullback attractor is also estimated. We illustrate some examples of pullback attractors by numerical simulations. Copyright © 2016 John Wiley & Sons, Ltd.
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