Tutorials in Mathematical Biosciences IV: Evolution and Ecology

✍ Scribed by L. S. Kubatko (auth.), Avner Friedman (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2008
• Tongue: English
• Leaves: 214
• Series: Lecture Notes in Mathematics 1922
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-VII
Inference of Phylogenetic Trees....Pages 1-38
Large-Scale Phylogenetic Analysis of Emerging Infectious Diseases....Pages 39-76
Reaction–Diffusion Equations and Ecological Modeling....Pages 77-115
The Dynamics of Migration–Selection Models....Pages 117-170
Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics....Pages 171-205
Back Matter....Pages 206-209

✦ Subjects

Mathematical Biology in General; Physiological, Cellular and Medical Topics