Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
The role of short-term immigration on disease dynamics: An SIR model with age-structure
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Keywords

age-structured model
epidemic models
immigration
migratory effects
finite difference methods
modelo con estructura de edad
modelos epidémicos
inmigración
efectos migratorios
métodos de diferencias finitas

How to Cite

Sánchez, F., & Calvo, J. G. (2019). The role of short-term immigration on disease dynamics: An SIR model with age-structure. Revista De Matemática: Teoría Y Aplicaciones, 26(1), 139–159. https://doi.org/10.15517/rmta.v26i1.36229

Abstract

We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. Individuals 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.

https://doi.org/10.15517/rmta.v26i1.36229
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