Mean-Field Semantics for a Process Calculus for Spatially-Explicit Ecological Models

Toro, Mauricio; Philippou, Anna; Arboleda, Sair; Puerta, Maria; Velez S, Carlos M.

Mean-Field Semantics for a Process Calculus for Spatially-Explicit Ecological Models

Date

2016-01-01

Authors

Toro, Mauricio

Philippou, Anna

Arboleda, Sair

Puerta, Maria

Velez S, Carlos M.

Publisher

OPEN PUBL ASSOC

Abstract

We define a mean-field semantics for S-PALPS, a process calculus for spatially-explicit, individual-based modeling of ecological systems. The new semantics of S-PALPS allows an interpretation of the average behavior of a system as a set of recurrence equations. Recurrence equations are a useful approximation when dealing with a large number of individuals, as it is the case in epidemiological studies. As a case study, we compute a set of recurrence equations capturing the dynamics of an individual-based model of the transmission of dengue in Bello (Antioquia), Colombia.