http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Spatiotemporal patterns in ecology and epidemiology
1 online resource (464 pages) : 183 illustrations.
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. The book first describes relevant phenomena in ecology and epidemiology, provides examples of pattern formation in natural systems, and summarizes existing modeling approaches. The authors then explore nonspatial models of population dynamics and epidemiology. They present the main scenarios of spatial and spatiotemporal pattern formation in deterministic models of population dynamics. The book also addresses the interaction between deterministic and stochastic processes in ecosystem and epidemic dynamics, discusses the corresponding modeling approaches, and examines how noise and stochasticity affect pattern formation. Reviewing the significant progress made in understanding spatiotemporal patterning in ecological and epidemiological systems, this resource shows that mathematical modeling and numerical simulations are effective tools in the study of population ecology and epidemiology.
part I Introduction -- chapter 1 Ecological patterns in time and space -- chapter 2 An overview of modeling approaches -- part II Models of temporal dynamics -- chapter 3 Classical one population models -- chapter 4 Interacting populations -- chapter 5 Case study: biological pest control in vineyards -- chapter 6 Epidemic models -- chapter 7 Ecoepidemic systems -- part III Spatiotemporal dynamics and pattern formation: deterministic approach -- chapter 8 Spatial aspect: diffusion as a paradigm -- chapter 9 Instabilities and dissipative structures -- chapter 10 Patterns in the wake of invasion -- chapter 11 Biological turbulence -- chapter 12 Patchy invasion -- part IV Spatiotemporal patterns and noise -- chapter 13 Generic model of stochastic population dynamics -- chapter 14 Noise-induced pattern transitions -- chapter 15 Epidemic spread in a stochastic environment -- chapter 16 Noise-induced pattern formation.
by Horst Malchow, Sergei V. Petrovskii and Ezio Venturino.
Chapman & Hall/CRC Mathematical and Computational Biology