| 书目名称 | Topics in Mathematical Biology | | 编辑 | Karl Peter Hadeler | | 视频video | | | 概述 | Written by a pioneer and expert in Mathematical Biology.Analyzes the impact of quiescent phases in biology with mathematical models.Presents classical mathematical biology models in detail with a focu | | 丛书名称 | Lecture Notes on Mathematical Modelling in the Life Sciences | | 图书封面 |  | | 描述 | .This book analyzes the impact of quiescent phases on biological models. Quiescence arises, for example, when moving individuals stop moving, hunting predators take a rest, infected individuals are isolated, or cells enter the quiescent compartment of the cell cycle. In the first chapter of Topics in Mathematical Biology general principles about coupled and quiescent systems are derived, including results on shrinking periodic orbits and stabilization of oscillations via quiescence. In subsequent chapters classical biological models are presented in detail and challenged by the introduction of quiescence. These models include delay equations, demographic models, age structured models, Lotka-Volterra systems, replicator systems, genetic models, game theory, Nash equilibria, evolutionary stable strategies, ecological models, epidemiological models, random walks and reaction-diffusion models. In each case we find new and interesting results such as stability of fixed points and/or periodic orbits, excitability of steady states, epidemic outbreaks, survival of the fittest, and speeds of invading fronts. .The textbook is intended for graduate students and researchers in mathematical bio | | 出版日期 | Book 2017 | | 关键词 | 35Q92, 37N25, 92Bxx; Mathematical Biology; Quiescent states; Population dynamics; Epidemic models; Reacti | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-65621-2 | | isbn_softcover | 978-3-319-65620-5 | | isbn_ebook | 978-3-319-65621-2Series ISSN 2193-4789 Series E-ISSN 2193-4797 | | issn_series | 2193-4789 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 18:16:03
