Discrete and Continuous Dynamical Systems - Series B (DCDS-B)

Dynamics of a discrete age-structured SIS models

Pages: 841 - 850, Volume 4, Issue 3, August 2004      doi:10.3934/dcdsb.2004.4.841

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Yicang Zhou - Department of Mathematics, Xi'an Jiaotong University, Xi'an, 710049, China (email)
Paolo Fergola - Department of Mathematics, University of Napoli, 1-80126 Napoli, Italy (email)

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.

Keywords:  Discrete epidemic model, age-structure, basic reproductive number, stability.
Mathematics Subject Classification:  92D30.

Received: December 2002;      Revised: January 2004;      Available Online: May 2004.