Synopses & Reviews
This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.
Table of Contents
Preface.- 1. From Differential Equations to Structured Population Dynamics.- 2. Adaptive Dynamics; an Asymptotic Point of View.- 3. Population Balance Equations: the Renewal Equation.- 4. Population Balance Equations: Size Structure.- 5. Cell Motion and Chemotaxis.- 6. General Mathematical Tools.- Bibliography.- Index.