Sylvie Meleard – författare
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4 produkter
4 produkter
Del 1 - Mathematical Biosciences Institute Lecture Series
Stochastic Models for Structured Populations
Scaling Limits and Long Time Behavior
Häftad, Engelska, 2015
433 kr
Skickas inom 10-15 vardagar
Stochastic Models for Structured Populations
Del 1627 - Lecture Notes in Mathematics
Probabilistic Models for Nonlinear Partial Differential Equations
Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, May 22-30, 1995
Häftad, Engelska, 1996
539 kr
Skickas inom 10-15 vardagar
The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a three-fold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmann-like and Navier-Stokes equations); third, on the modelling of networks by interacting particle systems. This book, collecting the notes of these courses, will be useful to probabilists working on stochastic particle methods and on the approximation of SPDEs, in particular, to PhD students and young researchers.
592 kr
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Le but du livreest de définir et développer une grandegamme d'outils probabilistes pour la modélisation en biologie des populations,afin de décrire des dynamiquestemporelles de quantités biologiques telles que la taille d'une ou plusieurs populations, la proportion d'un allèle dans une population oula position d'un individu.
- Nyhet
646 kr
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This book defines and develops probabilistic tools for modeling populations, describing the dynamics of biological quantities such as population size, allele proportions, and individual locations. Beginning with discrete Markovian models (random walks, Galton–Watson processes), it gradually introduces stochastic calculus, stochastic differential equations, and jump Markov processes, including continuous-time branching processes and birth-and-death processes. It also explores discrete and continuous models of genetic evolution, genealogies, and the Wright–Fisher process and coalescent theory. Throughout, the book emphasizes the computation of biologically relevant quantities and includes numerous exercises. The final chapter demonstrates the application of probabilistic tools to real-world biological problems and discusses recent research in detail.Written and course-tested by a leading expert, this book offers a solid foundation in the mathematical modeling of biological systems, population dynamics, genetic evolution, and ecological impact.