{"product_id":"9783032375223","title":"Branching Processes for Population Dynamics","description":"\u003ch3\u003eLecture Notes on Mathematical Modelling in the Life Sciences\u003c\/h3\u003e\u003ch1\u003eBranching Processes for Population Dynamics\u003c\/h1\u003e\u003ch3\u003eVincent Bansaye\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Applied\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\u003cp\u003eBranching Processes for Population Dynamics offers a modern introduction to branching processes  and modeling for life sciences. Beginning with the classical Galton–Watson model, it extends to random environment and focus then on structured populations, where individuals may have different biological characteristics. It develops in particular the spinal point of view  for the study of structured branching processes. Using martingales and Markov chains, this approach allows to  describe typical lineages and the long time behavior of population level trait evolution. The final chapter develops large population limits, showing how processes  converge to deterministic models like PDEs,  linking individual based model to macroscopic systems.\u003c\/p\u003e\u003c\/div\u003e\u003cdiv\u003e\u003cp\u003eVincent Bansaye is a Professor at Ecole polytechnique in France and is a specialist of branching processes and stochastic modeling for life sciences.\u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e09 October 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032375223\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":51680884293772,"sku":"9783032375223","price":40.49,"currency_code":"USD","in_stock":true}],"url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783032375223","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}