Note: Cover -- Half Title -- Title Page -- Copyright Page -- Original Title Page -- Dedication Page -- Supplementary Resources Disclaimer -- Preface -- Table of Contents -- I Introduction -- 1 Ecological patterns in time and space -- 1.1 Local structures -- 1.2 Spatial and spatiotemporal structures -- 2 An overview of modeling approaches -- II Models of temporal dynamics -- 3 Classical one population models -- 3.1 Isolated populations models -- 3.1.1 Scaling -- 3.2 Migration models -- 3.2.1 Harvesting -- 3.3 Glance at discrete models -- 3.4 Peek into chaos -- 4 Interacting populations -- 4.1 Two-species prey-predator population model -- 4.2 Classical Lotka-Volterra model -- 4.2.1 More on prey-predator models -- 4.2.2 Scaling -- 4.3 Other types of population communities -- 4.3.1 Competing populations -- 4.3.2 Symbiotic populations -- 4.3.3 Leslie-Gower model -- 4.3.4 Classical Holling-Tanner model -- 4.3.5 Other growth models -- 4.3.6 Models with prey switching -- 4.4 Global stability -- 4.4.1 General quadratic prey-predator system -- 4.4.2 Mathematical tools for analyzing limit cycles -- 4.4.3 Routh-Hurwitz conditions -- 4.4.4 Criterion for Hopf bifurcation -- 4.4.5 Instructive example -- 4.4.6 Poincaré map -- 4.5 Food web -- 4.6 More about chaos -- 4.7 Age-dependent populations -- 4.7.1 Prey-predator, age-dependent populations -- 4.7.2 More about age-dependent populations -- 4.7.3 Simulations and brief discussion -- 5 Case study: biological pest control in vineyards -- 5.1 First model -- 5.1.1 Modeling the human activity -- 5.2 More sophisticated model -- 5.2.1 Models comparison -- 5.3 Modeling the ballooning effect -- 5.3.1 Spraying effects and human intervention -- 5.3.2 Ecological discussion -- 6 Epidemic models -- 6.1 Basic epidemic models -- 6.1.1 Simplest models -- 6.1.2 Standard incidence -- 6.2 Other classical epidemic models. , 6.3 Age- and stage-dependent epidemic system -- 6.4 Case study: Aujeszky disease -- 6.5 Analysis of a disease with two states -- 7 Ecoepidemic systems -- 7.1 Prey-diseased-predator interactions -- 7.1.1 Some biological considerations -- 7.2 Predator-diseased-prey interactions -- 7.3 Diseased competing species models -- 7.3.1 Simulation discussion -- 7.4 Ecoepidemics models of symbiotic communities -- 7.4.1 Disease effects on the symbiotic system -- 7.4.2 Disease control by use of a symbiotic species -- III Spatiotemporal dynamics and pattern formation: deterministic approach -- 8 Spatial aspect: diffusion as a paradigm -- 9 Instabilities and dissipative structures -- 9.1 Turing patterns -- 9.1.1 Turing patterns in a multispecies system -- 9.2 Differential flow instability -- 9.3 Ecological example: semiarid vegetation patterns -- 9.3.1 Pattern formation due to nonlocal interactions -- 9.4 Concluding remarks -- 10 Patterns in the wake of invasion -- 10.1 Invasion in a prey-predator system -- 10.2 Dynamical stabilization of an unstable equilibrium -- 10.2.1 A bifurcation approach -- 10.2.2 Comparison of wave speeds -- 10.3 Patterns in a competing species community -- 10.4 Concluding remarks -- 11 Biological turbulence -- 11.1 Self-organized patchiness and the wave of chaos -- 11.1.1 Stability diagram and the hierarchy of regimes -- 11.1.2 Patchiness in a two-dimensional case -- 11.2 Spatial structure and spatial correlations -- 11.2.1 Intrinsic lengths and scaling -- 11.3 Ecological implications -- 11.3.1 Plankton patchiness on a biological scale -- 11.3.2 Self-organized patchiness, desynchronization, and the paradox of enrichment -- 11.4 Concluding remarks -- 12 Patchy invasion -- 12.1 Allee effect, biological control, and one-dimensional patterns of species invasion -- 12.1.1 Patterns of species spread. , 12.2 Invasion and control in the two-dimensional case -- 12.2.1 Properties of the patchy invasion -- 12.3 Biological control through infectious diseases -- 12.3.1 Patchy spread in SIR model -- 12.4 Concluding remarks -- IV Spatiotemporal patterns and noise -- 13 Generic model of stochastic population dynamics -- 14 Noise-induced pattern transitions -- 14.1 Transitions in a patchy environment -- 14.1.1 No noise -- 14.1.2 Noise-induced pattern transition -- 14.2 Transitions in a uniform environment -- 14.2.1 Standing waves driven by noise -- 15 Epidemic spread in a stochastic environment -- 15.1 Model -- 15.2 Strange periodic attractors in the lytic regime -- 15.3 Local dynamics in the lysogenic regime -- 15.4 Deterministic and stochastic spatial dynamics -- 15.5 Local dynamics with deterministic switch from lysogeny to lysis -- 15.6 Spatiotemporal dynamics with switches from lysogeny to lysis -- 15.6.1 Deterministic switching from lysogeny to lysis -- 15.6.2 Stochastic switching -- 16 Noise-induced pattern formation -- References -- Index.