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.
A General Discrete Time Model of Population Dynamics in the Presence of an Infection / Izzo, Giuseppe; Y., Muroya; A., Vecchio. - In: DISCRETE DYNAMICS IN NATURE AND SOCIETY. - ISSN 1026-0226. - ELETTRONICO. - 2009:2009(2009), pp. 1-15. [10.1155/2009/143019]
A General Discrete Time Model of Population Dynamics in the Presence of an Infection
IZZO, GIUSEPPE;
2009
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
