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

2016/03/03 by Mauricio Toro, Anna Philippou, Sair Arboleda +2
Computer Science · #cs.LO

paper · pdf · doi:10.4204/eptcs.204.7

published as EPTCS 204, 2016, pp. 79-94 · In Proceedings DCM 2015, arXiv:1603.00536

arxiv created 2016/03/03 · arxiv updated 2016/03/04

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.

Citations