A General Discrete Time Model of Population Dynamics in the Presence of an Infection

Giuseppe Izzo, Yoshiaki Muroya and Antonia Vecchio

Discrete Dynamics in Nature and Society, 2009, vol. 2009, 1-15

Abstract:

We present a set of difference equations which generalizes that proposed in the work of G. Izzo and A. Vecchio (2007) and represents the discrete counterpart of a larger class of continuous model concerning the dynamics of an infection in an organism or in a host population. The limiting behavior of this new discrete model is studied and a threshold parameter playing the role of the basic reproduction number is derived.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:143019

DOI: 10.1155/2009/143019

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