Dynamics of a discrete age-structured SIS models

Yicang Zhou; Paolo Fergola

doi:10.3934/dcdsb.2004.4.841

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2004, Volume 4, Issue 3: 841-850. Doi: 10.3934/dcdsb.2004.4.841

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Dynamics of a discrete age-structured SIS models

Yicang Zhou^1, and
Paolo Fergola^2,

1.
Department of Mathematics, Xi'an Jiaotong University, Xi'an, 710049
2.
Department of Mathematics, University of Napoli, 1-80126 Napoli

Received: November 30, 2002

Revised: December 31, 2003

Published: July 2005

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Abstract

Age is an important factor in the dynamics of epidemic process. Great attention has been paid to continuous age-structured epidemic models. The discrete epidemic models are in their infancy. In this paper a discrete age-structured epidemic SIS model is formulated. The dynamical behavior of this model is studied. The basic reproductive number is defined and threshold for the persistence or extinction of disease is found.

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Mathematics Subject Classification: 92D30.

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