| 书目名称 | Nonlinear Reaction-Diffusion Systems |
| 副标题 | Conditional Symmetry |
| 编辑 | Roman Cherniha,Vasyl‘ Davydovych |
| 视频video | http://file.papertrans.cn/668/667674/667674.mp4 |
| 概述 | Presents important results in solving nonlinear reaction-diffusion equations.Chapters contain ideas for further theoretical generalizations and examples for real world applications.Includes applicatio |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. Reaction-diffusion systems are fundamental modeling tools for mathematical biology with applications to ecology, population dynamics, pattern formation, morphogenesis, enzymatic reactions and chemotaxis. The book discusses the properties of nonlinear reaction-diffusion systems, which are relevant for biological applications, from the symmetry point of view, providing rigorous definitions and constructive algorithms to search for conditional symmetry (a nontrivial generalization of the well-known Lie symmetry) of nonlinear reaction-diffusion systems. In order to present applications to population dynamics, it focuses mainly on two- and three-component diffusive Lotka-Volterra systems. While it is primarily a valuable guide for researchers working with reaction-diffusion systems and those developing the theoretical aspects of conditional symmetry conception, parts of the book can also be used in master’s level mathematical biology courses.. |
| 出版日期 | Book 2017 |
| 关键词 | Nonlinear reaction-diffusion system; Lie and conditional symmetry; Lotka-Volterra system; Steady-state |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-65467-6 |
| isbn_softcover | 978-3-319-65465-2 |
| isbn_ebook | 978-3-319-65467-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing AG 2017 |
|Archiver|手机版|小黑屋|
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