Spatiotemporal patterns in ecology and epidemiology : theory, models, and simulation

摘要: Introduction Ecological Patterns in Time and Space Local structures Spatial spatiotemporal An Overview of Modeling Approaches Models temporal dynamics Classical One Population Isolated populations models Migration A glance at discrete peek into chaos Interacting Populations two-species predator-prey population model The classical Lotka-Volterra Other types ecosystems Global stability food web More about Age-dependent Case Study: Biological Pest Control Vineyards first more sophisticated the ballooning effect Epidemic Basic epidemic age- stage-dependent system case study: Aujeszky disease Analysis a with two states Ecoepidemic Systems Prey-diseased-predator interactions Predator-diseased-prey Diseased competing species Ecoepidemics symbiotic communities systems Spatiotemporal Dynamics Pattern Formation: Deterministic Approach Aspect: Diffusion as Paradigm Instabilities Dissipative Structures Turing patterns Differential flow instability ecological example: semiarid vegetation Concluding remarks Wake Invasion Dynamical stabilization an unstable equilibrium community Turbulence Self-organized patchiness wave structure spatial correlations implications Patchy Allee effect, biological control, 1-D invasion control 2-D through infectious diseases Noise Generic Model Stochastic Noise-Induced Transitions patchy environment uniform Spread Environment Strange periodic attractors lytic regime lysogenic deterministic stochastic local switch from lysogeny to lysis switches Formation References Index