FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY

Authors

  • Roxana López Cruz Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú
  • Luis Enrique Carrillo Díaz Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú

DOI:

https://doi.org/10.15381/pes.v10i1.9420

Keywords:

Epidemiolgy, SI Mathematical Model, Partial Differential Equations, Delay Differential Equations

Abstract

The objective of this paper is to study the reduction of an epidemiological simple SI given originally in partial differential equations into a model in delay differential equations. Originally, the population is divided in juvenile and adult groups. We assume that only the adult population is sexually active and that it is possible that infected adults may produce susceptible newborns and infected newborns. The global stability of the SI model in Delay Equations is studied in López-Cruz [5]

Author Biographies

  • Roxana López Cruz, Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú
    UNMSM, Facultad de Ciencias Matemáticas
  • Luis Enrique Carrillo Díaz, Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú
    UNMSM, Facultad de Ciencias Matemáticas

Downloads

Published

2007-07-16

Issue

Section

Artículos

How to Cite

FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY. (2007). Pesquimat, 10(1). https://doi.org/10.15381/pes.v10i1.9420