Existence and estimation of the Hausdorff dimension of attractors for an epidemic model

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 simu...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 40; no. 4; pp. 857 - 870
Main Author Anguiano, María
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 15.03.2017
Subjects
37B55
37N25
92D30
attractor
Computer simulation
Epidemics
Hausdorff dimension
Mathematical models
non‐autonomous equation
SIR epidemic model
subclass 35B40
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4008