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Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior
Sylvie Meleard
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Description for Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior
Paperback. Series: Mathematical Biosciences Institute Lecture Series. Num Pages: 107 pages, 4 black & white illustrations, biography. BIC Classification: PBT; PBWL. Category: (P) Professional & Vocational. Dimension: 238 x 160 x 9. Weight in Grams: 242.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Paperback
Publication date
2015
Series
Mathematical Biosciences Institute Lecture Series
Condition
New
Weight
242g
Number of Pages
107
Place of Publication
Cham, Switzerland
ISBN
9783319217109
SKU
V9783319217109
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
About Sylvie Meleard
Vincent Bansaye is Associate Professor at Ecole Polytechnique in France and is a specialist of branching processes, particularly branching processes in random environments. Sylvie Meleard 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.
Reviews for Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior
It deals mainly with the study of the limiting behavior under different scaling limits of several types of continuous-time individual based models of population dynamics subjected to demographic stochasticity ... . The reader interested in the subject finds in this book very interesting results and a very well organized account on the state of the art, which integrates the main ... Read more