%0 Journal Article %T Generalized Communicating P Systems Working in Fair Sequential Model %A Antoine Spicher %A Sergey Verlan %J Computer Science %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1108.3432v1