Topics in Mathematical Biology pdf epub mobi txt 电子书 下载 2024


Topics in Mathematical Biology

简体网页||繁体网页
Karl Peter Hadeler
springer
2017-12
353
0
Lecture Notes on Mathematical Modelling in the Life Sciences
9783319656212

图书标签: 生物-生物数学   


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发表于2024-12-25

Topics in Mathematical Biology epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Topics in Mathematical Biology epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Topics in Mathematical Biology pdf epub mobi txt 电子书 下载 2024



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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 biology who have a solid background in linear algebra, differential equations and dynamical systems. Readers can find gems of unexpected beauty within these pages, and those who knew K.P. (as he was often called) well will likely feel his presence and hear him speaking to them as they read.

Topics in Mathematical Biology 下载 mobi epub pdf txt 电子书

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