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

• DOI: 10.1016/j.cam.2006.10.065
• Publication Date: 2006-12-09T07:15:14Z
• Authors: Giuseppe Izzo; Antonia Vecchio
• Keywords: Discrete system; Computational Mathematics; Population dynamics; Qualitative behavior; Applied Mathematics; 0101 mathematics; Infection; 01 natural sciences

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.