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

• SÁNCHEZ, FABIO ^[1] ; CALVO, JUAN G. ^[1]
  1. [1] Universidad de Costa Rica

     Universidad de Costa Rica

     Hospital, Costa Rica

     
• Localización: Revista de Matemática: Teoría y Aplicaciones, ISSN 2215-3373, ISSN-e 2215-3373, Vol. 26, Nº. 1, 2019, págs. 139-159
• Idioma: inglés
• DOI: 10.15517/rmta.v26i1.36229
• Enlaces
  • Texto completo (pdf)
• Resumen

  • 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.

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