| 书目名称 | Parabolic Equations in Biology | | 副标题 | Growth, reaction, mo | | 编辑 | Benoît Perthame | | 视频video | | | 概述 | Provides the basic content for a course at master level on fundamental models in mathematics used for modeling in biology.Includes applications to ecology and population dynamics, neurosciences, enzym | | 丛书名称 | Lecture Notes on Mathematical Modelling in the Life Sciences | | 图书封面 |  | | 描述 | .This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.. | | 出版日期 | Textbook 2015 | | 关键词 | Fokker-Planck equations; Mathematical biology; Reaction-diffusion; Traveling waves; Turing patterns | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-19500-1 | | isbn_softcover | 978-3-319-19499-8 | | isbn_ebook | 978-3-319-19500-1Series ISSN 2193-4789 Series E-ISSN 2193-4797 | | issn_series | 2193-4789 | | copyright | Springer International Publishing Switzerland 2015 |
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发表于 2025-3-21 17:13:09
