Mauricio Toro, A. Philippou, Sair Arboleda, María Puerta, S. CarlosM.Vélez
{"title":"Mean-Field Semantics for a Process Calculus for Spatially-Explicit Ecological Models","authors":"Mauricio Toro, A. Philippou, Sair Arboleda, María Puerta, S. CarlosM.Vélez","doi":"10.4204/EPTCS.204.7","DOIUrl":null,"url":null,"abstract":"We define a mean-field semantics for S-PALPS, a process calculus for spatially-explicit, individualbased 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.","PeriodicalId":88470,"journal":{"name":"Dialogues in cardiovascular medicine : DCM","volume":"1 1","pages":"79-94"},"PeriodicalIF":0.0000,"publicationDate":"2016-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dialogues in cardiovascular medicine : DCM","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4204/EPTCS.204.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 18
Abstract
We define a mean-field semantics for S-PALPS, a process calculus for spatially-explicit, individualbased 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.