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

Giuseppe Izzo | Zendy; Yoshiaki Muroya | Zendy; Antonia Vecchio | Zendy

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

Author(s) -

Giuseppe Izzo,

Yoshiaki Muroya,

Antonia Vecchio

Publication year - 2009

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2009/143019

Subject(s) - basic reproduction number , population , limiting , dynamics (music) , discrete time and continuous time , mathematics , class (philosophy) , set (abstract data type) , population model , statistical physics , computer science , statistics , physics , demography , mechanical engineering , artificial intelligence , sociology , acoustics , engineering , programming language

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

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