Authors:
- Explains the biological meaning and translation of mathematical modeling for population dynamics models
- Provides fundamental knowledge of mathematical tools and techniques for mathematical modeling
- Describes mathematical modeling for non-mathematicians
Part of the book series: Theoretical Biology (THBIO)
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Table of contents (16 chapters)
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Front Matter
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Modeling Biological Factors
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Front Matter
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Back Matter
About this book
This textbook provides an introduction to the mathematical models of population dynamics in mathematical biology. The focus of this book is on the biological meaning/translation of mathematical structures in mathematical models, rather than simply explaining mathematical details and literacies to analyze a model. In some recent usages of the mathematical model simply with computer numerical calculations, the model includes some inappropriate mathematical structure concerning the reasonability of modeling for the biological problem under investigation. For students and researchers who study or use mathematical models, it is important and helpful to understand what mathematical setup could be regarded as reasonable for the model with respect to the relation between the biological factors involved in the assumptions and the mathematical structure of the model.
Topics covered in this book are; modeling with geometric progression, density effect in population dynamics, deriving continuous time models from discrete time models, basic modeling for birth-death stochastic processes, continuous time models, modeling interspecific reaction for the continuous time population dynamics model, competition and prey-predator dynamics, modeling for population dynamics with a heterogeneous structure of population, qualitative analysis on the discrete time dynamical system, necessary knowledge about fundamental mathematical theories to understand the dynamical nature of continuous time models. The book includes popular topics in ecology and mathematical biology, as well as classic theoretical topics.
By understanding the biological meaning of modeling for simple models, readers will be able to derive a specific mathematical model for a biological problem by reasonable modeling. The contents of this book is made accessible for readers without strong Mathematical background.
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Authors and Affiliations
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Graduate School of Information Sciences, Tohoku University, Sendai, Japan
Hiromi Seno
About the author
Hiromi Seno, Professor, Dr.Sci., Research Center for Pure and Applied Mathematics, Department of Computer and Mathematical Sciences, Graduate School of Information Sciences, Tohoku University.
Bibliographic Information
Book Title: A Primer on Population Dynamics Modeling
Book Subtitle: Basic Ideas for Mathematical Formulation
Authors: Hiromi Seno
Series Title: Theoretical Biology
DOI: https://doi.org/10.1007/978-981-19-6016-1
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
Hardcover ISBN: 978-981-19-6015-4Published: 18 November 2022
Softcover ISBN: 978-981-19-6018-5Published: 18 November 2023
eBook ISBN: 978-981-19-6016-1Published: 16 November 2022
Series ISSN: 2522-0438
Series E-ISSN: 2522-0446
Edition Number: 1
Number of Pages: XVI, 462
Number of Illustrations: 1 b/w illustrations
Topics: Ecology, Community & Population Ecology, Mathematical and Computational Biology