Spatial Ecology via Reaction‐Diffusion Equations

Preface. Series Preface. 1 Introduction. 1.1 Introductory Remarks. 1.2 Nonspatial Models for a Single Species. 1.3 Nonspatial Models For Interacting Species. 1.3.1 Mass-Action and Lotka-Volterra Models. 1.3.2 Beyond Mass-Action: The Functional Response. 1.4 Spatial Models: A General Overview. 1.5 Reaction-Diffusion Models. 1.5.1 Deriving Diffusion Models. 1.5.2 Diffusion Models Via Interacting Particle Systems: The Importance of Being Smooth. 1.5.3 What Can Reaction-Diffusion Models Tell Us? 1.5.4 Edges, Boundary Conditions, and Environmental Heterogeneity. 1.6 Mathematical Background. 1.6.1 Dynamical Systems. 1.6.2 Basic Concepts in Partial Differential Equations: An Example. 1.6.3 Modern Approaches to…