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 #  AuthorTitleAccn#YearItem Type Claims
1 Constable, George William Albert Fast Variables in Stochastic Population Dynamics I08002 2015 eBook  
2 Mendez, Vicenc Reaction-Transport Systems I07157 2010 eBook  
3 M??ndez, Vicen?? Stochastic Foundations in Movement Ecology I05866 2014 eBook  
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TitleFast Variables in Stochastic Population Dynamics
Author(s)Constable, George William Albert
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2015.
DescriptionXVII, 163 p. 40 illus., 31 illus. in color : online resource
Abstract Note??In this thesis two variants of the fast variable elimination method are developed. They are intuitive, simple to implement and give results which are in very good agreement with those found from numerical simulations. The relative simplicity of the techniques makes them ideal for applying to problems featuring demographic stochasticity, for experts and non-experts alike. ?? Within the context of mathematical modelling, fast variable elimination is one of the central tools with which one can simplify a multivariate problem.?? When used in the context of of deterministic systems, the theory is quite standard, but when stochastic effects are present, it becomes less straightforward to apply. ?? While the introductory and background chapters form an excellent primer to the theory of stochastic population dynamics, the techniques developed can be applied to systems exhibiting a separation of timescales in a variety of fields including population genetics, ecology and epidemiology. ??
ISBN,Price9783319212180
Keyword(s)1. Biological systems 2. BIOMATHEMATICS 3. Community & Population Ecology 4. Community ecology, Biotic 5. Data-driven Science, Modeling and Theory Building 6. EBOOK 7. EBOOK - SPRINGER 8. ECONOPHYSICS 9. Genetics and Population Dynamics 10. Sociophysics 11. Systems biology
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I08002     On Shelf    

2.     
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TitleReaction-Transport Systems : Mesoscopic Foundations, Fronts, and Spatial Instabilities
Author(s)Mendez, Vicenc;Fedotov, Sergei;Horsthemke, Werner
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2010.
DescriptionXXI, 454 p. 109 illus : online resource
Abstract NoteThis book is an introduction to the dynamics of reaction-diffusion systems, with a focus on fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the sense that either the transport is not simply classical diffusion (Brownian motion) or the system is not homogeneous. A important feature is the derivation of the basic phenomenological equations from the mesoscopic system properties. Topics addressed include transport with inertia, described by persistent random walks and hyperbolic reaction-transport equations and transport by anomalous diffusion, in particular subdiffusion, where the mean square displacement grows sublinearly with time. In particular reaction-diffusion systems are studied where the medium is in turn either spatially inhomogeneous, compositionally heterogeneous or spatially discrete. Applications span a vast range of interdisciplinary fields and the systems considered can be as different as human or animal groups migrating under external influences, population ecology and evolution, complex chemical reactions, or networks of biological cells. Several chapters treat these applications in detail
ISBN,Price9783642114434
Keyword(s)1. Applied and Technical Physics 2. BIOMATHEMATICS 3. CHEMICAL ENGINEERING 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Ecology?? 9. Genetics and Population Dynamics 10. Industrial Chemistry/Chemical Engineering 11. PHYSICAL CHEMISTRY 12. PHYSICS 13. STATISTICAL PHYSICS 14. Theoretical Ecology/Statistics
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TitleStochastic Foundations in Movement Ecology : Anomalous Diffusion, Front Propagation and Random Searches
Author(s)M??ndez, Vicen??;Campos, Daniel;Bartumeus, Frederic
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2014.
DescriptionXVII, 310 p. 84 illus., 16 illus. in color : online resource
Abstract NoteThis book presents the fundamental theory for non-standard diffusion problems in movement ecology. L??vy processes and anomalous diffusion have shown to be both powerful and useful tools for qualitatively and quantitatively describing a wide variety of spatial population ecological phenomena and dynamics, such as invasion fronts and search strategies. Adopting a self-contained, textbook-style approach, the authors provide the elements of statistical physics and stochastic processes on which the modeling of movement ecology is based and systematically introduce the physical characterization of ecological processes at the microscopic, mesoscopic and macroscopic levels. The explicit definition of these levels and their interrelations is particularly suitable to coping with the broad spectrum of space and time scales involved in bio-ecological problems. ?? Including numerous exercises (with solutions), this text is aimed at graduate students and newcomers in this field at the interface of theoretical ecology, mathematical biology and physics
ISBN,Price9783642390104
Keyword(s)1. BIOMATHEMATICS 2. COMPLEX SYSTEMS 3. COMPLEXITY 4. COMPUTATIONAL COMPLEXITY 5. Data-driven Science, Modeling and Theory Building 6. EBOOK 7. EBOOK - SPRINGER 8. Ecology?? 9. ECONOPHYSICS 10. Genetics and Population Dynamics 11. Sociophysics 12. SYSTEM THEORY 13. Theoretical Ecology/Statistics
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