Contents
Preface ix
Introduction 1
Chapter 1. Semiflows on Metric Spaces 9
§1.1. Metric spaces 9
§1.2. Semiflows 17
§1.3. Invariant sets 19
§1.4. Exercises 25
Chapter 2. Compact Attractors 29
§2.1. Compact attractors of individual sets 30
§2.2. Compact attractors of classes of sets 36
§2.3. A sufficient condition for asymptotic smoothness 51
§2.4. α-limit sets of total trajectories 52
§2.5. Invariant sets identified through Lyapunov functions 52
§2.6. Discrete semiflows induced by weak contractions 54
§2.7. Exercises 57
Chapter 3. Uniform Weak Persistence 61
§3.1. Persistence definitions 61
§3.2. An SEIRS epidemic model in patchy host populations 64
§3.3. Nonlinear matrix models: Prolog 71
§3.4. The May-Leonard example of cyclic competition 78
§3.5. Exercises 84
v
Previous Page Next Page