Fast Timescales in Stochastic Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fast Timescales in Stochastic Population Dynamics write by George William Albert Constable. This book was released on 2014. Fast Timescales in Stochastic Population Dynamics available in PDF, EPUB and Kindle.
Fast Variables in Stochastic Population Dynamics
Fast Variables in Stochastic Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fast Variables in Stochastic Population Dynamics write by George William Albert Constable. This book was released on 2015-07-25. Fast Variables in Stochastic Population Dynamics available in PDF, EPUB and Kindle. In this thesis two variants of the fast variable elimination method are developed. They are intuitive, simple to implement and give results which are in very good agreement with those found from numerical simulations. The relative simplicity of the techniques makes them ideal for applying to problems featuring demographic stochasticity, for experts and non-experts alike. Within the context of mathematical modelling, fast variable elimination is one of the central tools with which one can simplify a multivariate problem. When used in the context of of deterministic systems, the theory is quite standard, but when stochastic effects are present, it becomes less straightforward to apply. While the introductory and background chapters form an excellent primer to the theory of stochastic population dynamics, the techniques developed can be applied to systems exhibiting a separation of timescales in a variety of fields including population genetics, ecology and epidemiology.
Stochastic Models for Structured Populations
Stochastic Models for Structured Populations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Models for Structured Populations write by Sylvie Meleard. This book was released on 2015-09-03. Stochastic Models for Structured Populations available in PDF, EPUB and Kindle. 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 birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals. These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France). Vincent Bansaye and Sylvie Méléard are 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.
Stochastic Population Processes
Stochastic Population Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Population Processes write by Eric Renshaw. This book was released on 2015. Stochastic Population Processes available in PDF, EPUB and Kindle. A reference text presenting stochastic processes and a range of approximation and simulation techniques for extracting behavioural information in the context of stochastic population dynamics.
An Introduction to Continuous-Time Stochastic Processes
An Introduction to Continuous-Time Stochastic Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Continuous-Time Stochastic Processes write by Vincenzo Capasso. This book was released on 2004-12-07. An Introduction to Continuous-Time Stochastic Processes available in PDF, EPUB and Kindle. This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. Balancing theory and applications, the authors use stochastic methods and concrete examples to model real-world problems from engineering, biomathematics, biotechnology, and finance. Suitable as a textbook for graduate or advanced undergraduate courses, the work may also be used for self-study or as a reference. The book will be of interest to students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, physics, and engineering.
