{"product_id":"stochastic-models-for-structured-populations-von-sylvie-meleard-und-vincent-bansaye","title":"Stochastic Models for Structured Populations","description":"\n                                \n                \u003cp\u003eIn 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.\u003c\/p\u003e\n                                \n                \u003cp\u003eStructured 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.\u003c\/p\u003e\n                                \n                \u003cp\u003eThese notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France).\u003c\/p\u003e\n                                \n                \u003cp\u003e\n                                        \n                    \u003cb\u003eVincent Bansaye and Sylvie Méléard \u003c\/b\u003e\n                                        are\n                    \n                    \u003cb\u003e \u003c\/b\u003e\n                                         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.\n                \n                \u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319217109\"\u003e\u003ch3\u003eScaling Limits and Long Time Behavior\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783319217109","offer_id":39614473568349,"sku":"9783319217109","price":42.79,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/fe722c74-9c38-40c7-9a56-af28e41c7ac7.jpg?v=1772084765","url":"https:\/\/shop.autorenwelt.de\/products\/stochastic-models-for-structured-populations-von-sylvie-meleard-und-vincent-bansaye","provider":"Autorenwelt Shop","version":"1.0","type":"link"}