The role of short-term immigration on disease dynamics: an sir model with age-structure

Abstract [14] We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. In- dividuals can immigrate into the population as any of the three stages in the model: susceptible, infected or recovered. Global stability of the immigration-free and infection-free equilibria is discussed. A generalized numerical framework is established and specific short-term immigration scenarios are explored.

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Main Authors: Sánchez,Fabio, Calvo,Juan G.
Format: Digital revista
Language:English
Published: Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica. 2019
Online Access:http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332019000100139
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spelling oai:scielo:S1409-243320190001001392021-07-05The role of short-term immigration on disease dynamics: an sir model with age-structureSánchez,FabioCalvo,Juan G. age-structured model epidemic models immigration migratory effects finite difference methods Abstract [14] We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. In- dividuals can immigrate into the population as any of the three stages in the model: susceptible, infected or recovered. Global stability of the immigration-free and infection-free equilibria is discussed. A generalized numerical framework is established and specific short-term immigration scenarios are explored.info:eu-repo/semantics/openAccessCentro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.Revista de Matemática Teoría y Aplicaciones v.26 n.1 20192019-06-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332019000100139en10.15517/rmta.v26i1.35529
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country Costa Rica
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libraryname SciELO
language English
format Digital
author Sánchez,Fabio
Calvo,Juan G.
spellingShingle Sánchez,Fabio
Calvo,Juan G.
The role of short-term immigration on disease dynamics: an sir model with age-structure
author_facet Sánchez,Fabio
Calvo,Juan G.
author_sort Sánchez,Fabio
title The role of short-term immigration on disease dynamics: an sir model with age-structure
title_short The role of short-term immigration on disease dynamics: an sir model with age-structure
title_full The role of short-term immigration on disease dynamics: an sir model with age-structure
title_fullStr The role of short-term immigration on disease dynamics: an sir model with age-structure
title_full_unstemmed The role of short-term immigration on disease dynamics: an sir model with age-structure
title_sort role of short-term immigration on disease dynamics: an sir model with age-structure
description Abstract [14] We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. In- dividuals can immigrate into the population as any of the three stages in the model: susceptible, infected or recovered. Global stability of the immigration-free and infection-free equilibria is discussed. A generalized numerical framework is established and specific short-term immigration scenarios are explored.
publisher Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.
publishDate 2019
url http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332019000100139
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