Stochastic Models for Structured Populations
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Vincent Bansaye is Associate Professor at Ecole Polytechnique in France and is a specialist of branching processes, particularly branching processes in random environments.
Sylvie Méléard is Full Professor at Ecole Polytechnique in France and is a specialist of random particle systems and their large number approximations models for physics and biology.
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Paperback. Etat : new. Paperback. 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-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample ofindividuals.These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France).Vincent Bansaye and Sylvie Meleard are Professors at Ecole Polytechnique (France). They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution. Stochastic Models for Structured Populations Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783319217109
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this contribution, several probabilistic tools to study population dynamics are developed. The focus isonscaling limits of qualitatively different stochastic individual based modelsand the long time behavior of some classes of limiting processes.Structured population dynamics are modeled by measure-valued processesdescribing 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-dimensional deterministic or stochastic large-population approximations.Biologically relevant questions are considered, such as extinction criteria,the effect of large birth events, the impact of environmental catastrophes,the mutation-selection trade-off, recovery criteria in parasite infections,genealogical properties of a sample of individuals.These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France).Vincent Bansaye and Sylvie MéléardareProfessors at Ecole Polytechnique (France). They are aspecialists ofbranching processes andrandom particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution. 120 pp. Englisch. N° de réf. du vendeur 9783319217109
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Illustrates the tools of modelling in ecology and evolution for students and researchers in the fieldCo-published jointly with mathematical biosciences institute Top international authors in area of stochastic processes. N° de réf. du vendeur 35037734
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