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

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  • Giuseppe Izzo
  • Yoshiaki Muroya
  • Antonia Vecchio

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.

Suggested Citation

  • Giuseppe Izzo & Yoshiaki Muroya & Antonia Vecchio, 2009. "A General Discrete Time Model of Population Dynamics in the Presence of an Infection," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-15, June.
    • Handle: RePEc:hin:jnddns:143019
    DOI: 10.1155/2009/143019
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