Computer Science – Distributed – Parallel – and Cluster Computing
Scientific paper
2011-08-17
Computer Science
Distributed, Parallel, and Cluster Computing
Presented at MeCBIC 2011
Scientific paper
In this article we consider a new derivation mode for generalized communicating P systems (GCPS) corresponding to the functioning of population protocols (PP) and based on the sequential derivation mode and a fairness condition. We show that PP can be seen as a particular variant of GCPS. We also consider a particular stochastic evolution satisfying the fairness condition and obtain that it corresponds to the run of a Gillespie's SSA. This permits to further describe the dynamics of GCPS by a system of ODEs when the population size goes to the infinity.
Spicher Antoine
Verlan Sergey
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