Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 87519, 10 pages
Research Article

On a Discrete Epidemic Model

Stevo Stević

Mathematical Institute of the Serbian Academy of Science, Knez Mihailova 35/I, Beograd 11000, Serbia

Received 3 August 2006; Revised 5 November 2006; Accepted 6 November 2006

Copyright © 2007 Stevo Stević. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigate the global asymptotic behavior of solutions of the difference equation xn+1=(1j=0k1xnj)(1eAxn), n0, where A(0,), k{2,3,}, and the initial values xk+1,xk+2,,x0 are arbitrary negative numbers. Asymptotics of some positive solutions of the equation are also found.