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Titlebook: Stochastic Models for Structured Populations; Scaling Limits and L Sylvie Meleard,Vincent Bansaye Book 2015 The Editor(s) (if applicable) a

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Birth and Death ProcessesThe global jump rate for a population with size . ≥ 1 is .. +... After a random time distributed according to an exponential law with parameter ., the process increases by 1 with probability . and decreases by − 1 with probability .. If ., the process is absorbed at ..
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Scaling limits for the individual-based processAs in Chapter 2, we consider the case where the system size becomes very large. We scale this size by the integer . and look for approximations of the conveniently renormalized measure-valued population process, when . tends to infinity.
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Sylvie Meleard,Vincent BansayeIllustrates the tools of modelling in ecology and evolution for students and researchers in the field.Co-published jointly with mathematical biosciences institute.Top international authors in area of
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978-3-319-21710-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Book 2015nt 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 interacti
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Continuous State Branching Processesing property: the individuals of the underlying population evolve independently. Combining this property with the tools developed in the first part, we describe finely the processes, their long time behavior, and the scaling limits they come from.
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