書目名稱 | Nonlinear Reaction-Diffusion Systems |
副標題 | Conditional Symmetry |
編輯 | Roman Cherniha,Vasyl‘ Davydovych |
視頻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 |
叢書名稱 | Lecture Notes in Mathematics |
圖書封面 |  |
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 |
關鍵詞 | 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 |