Ecological patterns in time and space -- An overview of modeling approaches -- II. Models of temporal dynamics -- Classical one population models -- Interacting populations -- Case study: biological pest control in vineyards -- Epidemic models -- Ecoepidemic systems -- III. Spatiotemporal dynamics and pattern formation: deterministic approach -- Spatial aspect: diffusion as a paradigm -- Instabilities and dissipative structures -- Patterns in the wake of invasion -- Biological turbulence -- Patchy invasion -- IV. Spatiotemporal patterns and noise -- Generic model of stochastic population dynamics -- Noise-induced pattern transitions -- Epidemic spread in a stochastic environment -- Noise-induced pattern formation
Summary
"Although the spatial dimension of ecosystem dynamics is now widely recognized, the specific mechanisms behind species patterning in space are still poorly understood and the corresponding theoretical framework is underdeveloped. Going beyond the classical Turing scenario of pattern formation, Spatiotemporal Patterns in Ecology and Epidemiology: Theory, Models, and Simulation illustrates how mathematical modeling and numerical simulations can lead to greater understanding of these issues. It takes a unified approach to population dynamics and epidemiology by presenting several ecoepidemiological models where both the basic interspecies interactions of population dynamics and the impact of an infectious disease are explicitly considered."--Jacket
Bibliography
Includes bibliographical references (pages 403-442) and index
Notes
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