A general discrete time model of population dynamics in the presence of an infection (Q1040092)

Summary: We present a set of difference equations which generalizes that proposed in the work of the first and the second author [J. Comput. Appl. Math. 210, No.~1--2, 210--221 (2007; Zbl 1131.92054)] and represents the discrete counterpart of a larger class of continuous models 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.