| 书目名称 | Introduction to Reaction-Diffusion Equations | | 副标题 | Theory and Applicati | | 编辑 | King-Yeung Lam,Yuan Lou | | 视频video | | | 概述 | Bridges the gap between biological research on dynamical systems and the theory of PDEs.Contains challenging current research topics in mathematical biology.Based on a mini-course given at Institut He | | 丛书名称 | Lecture Notes on Mathematical Modelling in the Life Sciences | | 图书封面 |  | | 描述 | .This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts..The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles..The second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation..The third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionarybranching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait..The fourth | | 出版日期 | Textbook 2022 | | 关键词 | mathematical biology; evolutionarily stable strategy; adaptive dynamics; evolution of dispersal; reactio | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-20422-7 | | isbn_softcover | 978-3-031-20421-0 | | isbn_ebook | 978-3-031-20422-7Series ISSN 2193-4789 Series E-ISSN 2193-4797 | | issn_series | 2193-4789 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:58:33
