Tutorials in Mathematical Biosciences IV

Evolution and Ecology

  • Avner Friedman
Part of the Lecture Notes in Mathematics book series (LNM, volume 1922)

Table of contents

About this book

Introduction

The book offers an easy introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. The first two chapters review the concept and methodologies of phylogenetic trees; computational schemes and illustrations are given, including applications such as tracing the origin of SARS and influenza. The third chapter introduces the reader to ecological models, including predator-prey models. This chapter includes and introduction to reaction-diffusion equations, which are used to analyze the ecological models. The next chapter reviews a broad range of ongoing research in population dynamics, including evolution of dispersal models; it also features interesting mathematical theorems and lists open problems. The final chapter deals with gene frequencies under the action of migration and selection. The book is addressed to readers at the level of grad students and researchers. A background in PDEs is provided.

Keywords

Phylogenetic Trees Radiologieinformationssystem dispersal dynamics dynamics ecological modeling ecology evolution genes genetics population population dynamics population genetics populations dynamics reaction-diffusion equations

Editors and affiliations

  • Avner Friedman
    • 1
  1. 1.Mathematical Biosciences InstituteOhio State UniversityColumbusUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-74331-6
  • Copyright Information Springer Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-74328-6
  • Online ISBN 978-3-540-74331-6
  • Series Print ISSN 0075-8434
  • About this book