On a Discrete Epidemic Model

Stevic, Stevo

doi:https://doi.org/10.1155/2007/87519

Discrete Dynamics in Nature and Society

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Research Article | Open Access

Volume 2007 | Article ID 087519 | https://doi.org/10.1155/2007/87519

On a Discrete Epidemic Model

Stevo Stevic¹

Received03 Aug 2006

Revised05 Nov 2006

Accepted06 Nov 2006

Published18 Dec 2006

Abstract

We investigate the global asymptotic behavior of solutions of the difference equation xn+1=(1−∑j=0k−1xn−j)(1−e−Axn), n∈ℕ0, where A∈(0,∞), k∈{2,3,…}, and the initial values x−k+1,x−k+2,…,x0 are arbitrary negative numbers. Asymptotics of some positive solutions of the equation are also found.

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Copyright

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.

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