Modèles aléatoires en écologie et évolution / Sylvie Méléard

Auteur principal : Méléard, Sylvie, AuteurType de document : MonographieCollection : Mathématiques et applications, 77Langue : français.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2016Description : 1 vol. (XII-268 p.) : ill. ; 24 cmISBN: 9783662494547.ISSN: 1154-483X.Bibliographie : Bibliogr. p. 265-268.Sujet MSC : 92-02, Research exposition (monographs, survey articles) pertaining to biology
92B05, Mathematical biology in general, General biology and biomathematics
92D40, Biology and other natural sciences, Genetics and population dynamics, Ecology
92D25, Biology and other natural sciences, Genetics and population dynamics, Population dynamics
60J85, Probability theory and stochastic processes - Markov processes, Applications of branching processes
En-ligne : Zentralblatt | MSN
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Bibliogr. p. 265-268

This book reviews a large array of probabilistic techniques for the modelling and analysis of spatial dynamics of populations, aiming to be a comprehensive, self-contained reference text for mathematically minded biologists and applied mathematicians alike. The presentation is clear, accompanied by a large number of examples. Chapters 2 to 6 (of a total of 7) end with a set of 5–10 problems, each with their own extensive set of questions, making the book suitable for classroom use.

The fundamental hypothesis regarding the models in this book is that the populations, described by stochastic processes, have Markovian behavior, that is, their future actions depend only on the current state. Apart from that, all modelling and analysis are done using only finite dimensional spaces, discrete and continuous, which simplifies the presentation ... (zbMath)

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