# American Institute of Mathematical Sciences

August  2004, 4(3): 841-850. doi: 10.3934/dcdsb.2004.4.841

## Dynamics of a discrete age-structured SIS models

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

Received  December 2002 Revised  January 2004 Published  May 2004

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.
Citation: Yicang Zhou, Paolo Fergola. Dynamics of a discrete age-structured SIS models. Discrete & Continuous Dynamical Systems - B, 2004, 4 (3) : 841-850. doi: 10.3934/dcdsb.2004.4.841
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