书目名称 | Mathematical Modeling for Epidemiology and Ecology |
编辑 | Glenn Ledder |
视频video | |
概述 | Includes the author‘s own research in vaccination modeling and models for COVID-19 along with standard models.Includes detailed examples as case studies, sets of linked problems, and end-of-chapter pr |
丛书名称 | Springer Undergraduate Texts in Mathematics and Technology |
图书封面 |  |
描述 | .Mathematical Modeling for Epidemiology and Ecology provides readers with the mathematical tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas and the biological implications, with detailed explanations. The author assumes no mathematics background beyond elementary differential calculus. .An introductory chapter on basic principles of mathematical modeling is followed by chapters on empirical modeling and mechanistic modeling. These chapters contain a thorough treatment of key ideas and techniques that are often neglected in mathematics books, such as the Akaike Information Criterion. The second half of the book focuses on analysis of dynamical systems, emphasizing tools to simplify analysis, such as the Routh-Hurwitz conditions and asymptotic analysis. Courses can be focused on either half of the book or thematically chosen material from both halves, such as a course on mathematical epidemiology..The biological content is self-contained and includes many topics in epidemiology and ecology. Some of this material appears in case studies that f |
出版日期 | Textbook 2023Latest edition |
关键词 | mathematical modeling; dynamical systems; COVID-19 modeling; mechanistic modeling; mathematical ecology |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-031-09454-5 |
isbn_softcover | 978-3-031-09456-9 |
isbn_ebook | 978-3-031-09454-5Series ISSN 1867-5506 Series E-ISSN 1867-5514 |
issn_series | 1867-5506 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |