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A Primer on Population Dynamics Modeling

Basic Ideas for Mathematical Formulation

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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Hardcover Book USD 119.99
Price excludes VAT (USA)
This title has not yet been released. You will be able to pre-order it soon.

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.

Keywords

  • Population dynamics
  • Mathematical modeling
  • Dynamical system
  • Differential equation
  • Difference equation

Authors and Affiliations

  • 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

Buying options

Hardcover Book USD 119.99
Price excludes VAT (USA)
This title has not yet been released. You will be able to pre-order it soon.