Stochastic Models for Structured Populations (eBook, PDF)

Stochastic Models for Structured Populations (eBook, PDF)

Scaling Limits and Long Time Behavior

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In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes.Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dim...

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