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Exactly Solvable Models Of Biological Invasion
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Book Synopsis Exactly Solvable Models of Biological Invasion by : Sergei V. Petrovskii
Download or read book Exactly Solvable Models of Biological Invasion written by Sergei V. Petrovskii and published by CRC Press. This book was released on 2005-07-28 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much of our current knowledge on biological invasion was derived from field studies, but many recent advances relied heavily on mathematics and computing, particularly mathematical modeling. While numerical simulations are clearly a useful approach, they have some serious drawbacks. Approximations errors and the number of parameter values can have
Book Synopsis Exactly Solvable Models of Biological Invasion by : Sergei V. Petrovskii
Download or read book Exactly Solvable Models of Biological Invasion written by Sergei V. Petrovskii and published by CRC Press. This book was released on 2005-07-28 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much of our current knowledge on biological invasion was derived from field studies, but many recent advances relied heavily on mathematics and computing, particularly mathematical modeling. While numerical simulations are clearly a useful approach, they have some serious drawbacks. Approximations errors and the number of parameter values can have a significant impact on the simulation results, the extent of which often remains obscure. Such difficulties do not arise, however, when the problem can be solved analytically. Exactly Solvable Models of Biological Invasion demonstrates the advantages and methods of obtaining exact solutions of partial differential equations that describe nonlinear problems encountered in the study of invasive species spread. With emphasis on PDEs of diffusion-reaction type, the authors present a comprehensive collection of exactly solvable models and a unified, self-contained description of the relevant mathematical methods. In doing so, they also provide new insight into important issues such as the impact of the Allee effect, the impact of predation, and the interplay between different modes of species dispersal. Full calculation details make this presentation accessible to biologists as well as applied mathematicians, and a range of ecological examples and applications demonstrate the utility of exact methods in practice. Exact solutions provide an immediate, complete description of system dynamics for a wide class of initial conditions and serve as a convenient tool for testing numerical algorithms and codes used in more specialized studies. This book lays the groundwork for bringing the power of exactly solvable models to bear on real-world ecological problems.
Book Synopsis Elliptic Partial Differential Equations by : Vitaly Volpert
Download or read book Elliptic Partial Differential Equations written by Vitaly Volpert and published by Springer. This book was released on 2014-05-10 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: If we had to formulate in one sentence what this book is about, it might be "How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species". These and many other applications are described by reaction-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics, biomedical modelling. The purpose of this book is to present the mathematical theory of reaction-diffusion equations in the context of their numerous applications. We will go from the general mathematical theory to specific equations and then to their applications. Existence, stability and bifurcations of solutions will be studied for bounded domains and in the case of travelling waves. The classical theory of reaction-diffusion equations and new topics such as nonlocal equations and multi-scale models in biology will be considered.
Book Synopsis American Book Publishing Record by :
Download or read book American Book Publishing Record written by and published by . This book was released on 2003 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structural Bioinformatics by : Forbes J. Burkowski
Download or read book Structural Bioinformatics written by Forbes J. Burkowski and published by Chapman and Hall/CRC. This book was released on 2009 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1.The study of structural bioinformatics 2.Introduction to macromolecular structure 3.Data sources, formats, and applications 4.Dynamic programming 5.RNA secondary structure prediction 6.Protein sequencea alignment 7.Protein geometry 8.Coordinate transformations 9.Structure conparison, alignment, and superposition 10.Machine learning.
Book Synopsis Discrete and Continuous Dynamical Systems by :
Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2009 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spatiotemporal Patterns in Models of Biological Invasion and Epidemic Spread by : Frank Mathias Hilker
Download or read book Spatiotemporal Patterns in Models of Biological Invasion and Epidemic Spread written by Frank Mathias Hilker and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biological invasions are a severe ecological problem threatening biodiversity and causing substantial economic damages. Mathematical models of spatiotemporal spread have proven to be powerful tools in identifying the underlying mechanisms, thus contributing to the understanding of the factors that determine invasion processes and to the assessment of possible control methods. In this thesis, classical models are extended to combine spatial spread, population growth, disease transmission and community interactions. Applications are exemplarily found in the circulation of the Feline Immunodeficiency Virus (FIV) - an HIV-similar lentivirus that induces AIDS in cat populations - and in viral infections in phytoplankton that forms the basis for all food chains and webs in the sea. The joint interplay of epidemics, predation and environmental stochasticity in invasion models is shown to generate rich and novel patterns of spatiotemporal spread such as the blocking and reversal of invasion fronts or the spatial `trapping' of infection as well as its noise-induced escape. The results of this thesis can explain real-world phenomena and have important implications for understanding and controlling invasion processes in ecosystems and epidemiology.
Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society
Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2004 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Invasion Biology by : Jonathan M. Jeschke
Download or read book Invasion Biology written by Jonathan M. Jeschke and published by Cabi. This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings written by and published by . This book was released on 2005 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The American Naturalist written by and published by . This book was released on 2009 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The British National Bibliography by : Arthur James Wells
Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2005 with total page 2142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Biological Invasions by : Nanako Shigesada
Download or read book Biological Invasions written by Nanako Shigesada and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phenomenon of organisms moving to and occupying new locations is called invasion. Whether humans travelling around the world or a virus entering a cell, this text covers the topic and introduces mathematical modelling of the phenomenon.
Book Synopsis Biological Invasions by : Nanako Shigesada
Download or read book Biological Invasions written by Nanako Shigesada and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Plant Protection and Plant Health in Europe by :
Download or read book Plant Protection and Plant Health in Europe written by and published by . This book was released on 2005 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integrodifference Equations in Spatial Ecology by : Frithjof Lutscher
Download or read book Integrodifference Equations in Spatial Ecology written by Frithjof Lutscher and published by Springer Nature. This book was released on 2019-10-30 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first thorough introduction to and comprehensive treatment of the theory and applications of integrodifference equations in spatial ecology. Integrodifference equations are discrete-time continuous-space dynamical systems describing the spatio-temporal dynamics of one or more populations. The book contains step-by-step model construction, explicitly solvable models, abstract theory and numerical recipes for integrodifference equations. The theory in the book is motivated and illustrated by many examples from conservation biology, biological invasions, pattern formation and other areas. In this way, the book conveys the more general message that bringing mathematical approaches and ecological questions together can generate novel insights into applications and fruitful challenges that spur future theoretical developments. The book is suitable for graduate students and experienced researchers in mathematical ecology alike.
Book Synopsis Modeling the Spread and Control of Spartina Alterniflora in a Pacific Estuary by : Caroline Mary Taylor
Download or read book Modeling the Spread and Control of Spartina Alterniflora in a Pacific Estuary written by Caroline Mary Taylor and published by . This book was released on 2004 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: