An introduction to classical and modern mathematical models, methods, and issues in population ecology. Includes numerous line diagrams, relevant problems and supplementary mathematical and historical material that enhances understanding. Preface vii Acknowledgments ix I. UNSTRUCTED POPULATION MODELS 1(264) Single-species models 3(1) Exponential, logistic, and Gompertz growth 3(10) Harvest models: bifurcations and breakpoints 13(12) Stochastic birth and death processes 25(18) Discrete-time models 43(27) Delay models 70(23) Branching processes 93(14) Interacting Populations 107(1) A classical predator-prey model 107(9) To cycle or not to cycle 116(24) Global bifurcations in predator-prey models 140(21) Chemostat models 161(20) Discrete-time predator-prey models 181(17) Competition models 198(22) Mutualism models 220(17) Dynamics of exploited populations 237(1) Harvest models and optimal control theory 237(28) II. STRUCTURED POPULATION MODELS 265(160) Spatially structured models 267(1) Formulating spatially structured models 267(9) Spatial steady states: linear problems 276(18) Spatial steady states: nonlinear problems 294(17) Models of spread 311(34) Age-structured models 345(1) An overview of linear age-structured models 345(8) The Lotka integral equation 353(12) The difference equation 365(12) The Leslie matrix 377(14) The McKendrick-von Foerster PDE 391(10) Some simple nonlinear models 401(12) Sex-structured models 413(1) Two-sex models 413(12) References 425(18) Author index 443(4) Subject index 447