Exactly Solvable Models Of Biological Invasion

Author : Sergei V. Petrovskii
Publisher : CRC Press
ISBN 13 : 1420034960
Total Pages : 232 pages
Book Rating : 4.67/5 ( download)

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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

Author : Sergei V. Petrovskii
Publisher : CRC Press
ISBN 13 : 9781584885214
Total Pages : 242 pages
Book Rating : 4.11/5 ( download)

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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.

Author : Vitaly Volpert
Publisher : Springer
ISBN 13 : 3034808135
Total Pages : 784 pages
Book Rating : 4.32/5 ( download)

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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.

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Publisher :
ISBN 13 :
Total Pages : 760 pages
Book Rating : 4.44/5 ( download)

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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:

Author : Forbes J. Burkowski
Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.44/5 ( download)

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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.

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Publisher :
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.48/5 ( download)

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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:

Author : Frank Mathias Hilker
Publisher :
ISBN 13 : 9783832510503
Total Pages : 0 pages
Book Rating : 4.08/5 ( download)

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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.

Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 826 pages
Book Rating : 4.41/5 ( download)

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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:

Author : Jonathan M. Jeschke
Publisher : Cabi
ISBN 13 : 9781780647654
Total Pages : pages
Book Rating : 4.54/5 ( download)

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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:

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ISBN 13 :
Total Pages : 720 pages
Book Rating : 4.90/5 ( download)

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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: