Modelling population processes with random initial conditions.

作者: P.K. Pollett , A.H. Dooley , J.V. Ross

DOI: 10.1016/J.MBS.2009.11.008

关键词: Stochastic modellingMathematicsVariation (linguistics)PopulationDifferential equationObservabilityInitial value problemPopulation modelStatisticsStochastic process

摘要: Population dynamics are almost inevitably associated with two predominant sources of variation: the first, demographic variability, a consequence chance in progenitive and deleterious events; second, initial state uncertainty, partial observability reporting delays errors. Here we outline general method for incorporating random conditions population models where deterministic model is sufficient to describe population. Additionally, show that large class stochastic overall variation sum due dynamics, thus able quantify not accounted when ignored. Our results illustrated reference both simulated real data.

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