A discrete time version for models of population dynamics in the presence of an infection

Authors:
Giuseppe Izzo;Antonia Vecchio
Affiliations:
Dipartimento di Matematica e Applicazioni "R.Caccioppoli", Universití degli studi di Napoli "Federico II", Via Cintia, Monte S.Angelo, 80126 Napoli, Italy;Ist. per le Appl. del Calcolo "M. Picone", Sede di Napoli, CNR Via P. Castellino, 111, 80131 Napoli, Italy
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

We present a set of difference equations which represents the discrete counterpart of a large class of continuous model concerning the dynamics of an infection in an organism or in a host population. The limiting behavior of the discrete model is studied and a threshold parameter playing the role of the basic reproduction number is derived.