Mathematical Models in Population Biology and Epidemiology

Subtitle
(Second Edition)

The goal of this book is to search for a balance between simple and analyzable models and unsolvable models that are capable of addressing important questions on population biology. Part I focuses on single-species simple models including those that have been used to predict the growth of human and animal populations in the past. Single-population models are, in some sense, the building blocks of more realistic models — the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity — the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students and scientists working in the field.

Bio

Carlos Castillo-Chavez is a Regents' Professor in the School of Human Evolution and Social Change and the School of Life Sciences, and he serves as the co-director of the Simon A. Levin Mathematical, Computational and Modeling Sciences Center. He studies the dynamics of complex systems at the intersection of ecology, epidemiology and the social sciences.


Praise for this book

The work provides an easily accessible, but concise introduction to the subject. Both graduate students and professionals will find the book an understandable, absorbing and penetrating treatment of a beautiful theory.

Zentralblatt Math

"The organization within each subsection is incredibly thorough, gradually adding mathematical twists to each previous equation or model. Biological examples are provided if and when they relate to a given equation and the examples are highly idealized. … This book's format is also reasonable for a survey of applied mathematics because the format facilitates comparison across fields of biology. … There is some very useful information within this book."

Ecology