Odo Diekmann

Tom Britton

Hans Heesterbeek

This book explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology.

Mathematical Tools for Understanding Infectious Disease Dynamics

Hans-Otto Walther

Stephan A.van Gils

Sjoerd M.V. Lunel

The aim here is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple - yet rich - class of examples, delay differential equations. This textbook contains detailed proofs and many exercises, intended both for self-study and for courses at graduate level, as well as a reference for basic results. As the subtitle indicates, this book is about concepts, ideas, results and methods from linear functional analysis, complex function theory, the qualitative theory of dynamical systems and nonlinear analysis. The book provides the reader with a working knowledge of applied functional analysis and dynamical systems.

Functional-, Complex-, and Nonlinear Analysis

Delay Equations

Johan Andre Peter Heesterbeek

Johan Anton Jacob Metz

verkenningen op het grensvlak van wiskunde en biologie

De wiskundige kat, de biologische muis en de jacht op inzicht

Andreas Deutsch

Rafael Bravo de la Parra

Rob J. de Boer

Peter Jagers

Eva Kisdi

Mirjam Kretzschmar

Petr Lansky

Hans Metz

Volume II of this two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout are mathematical and computational apporaches to examine central problems in the life sciences, ranging from the organization principles of individual cells to the dynamics of large populations. The chapters are thematically organized into the following main areas: epidemiology, evolution and ecology, immunology, neural systems and the brain, and innovative mathematical methods and education. The work will be an excellent reference text for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Epidemiology, Evolution and Ecology, Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods

Mathematical Modeling of Biological Systems, Volume II

Odo Diekmann

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