Exactly Solvable Models of Biological Invasion: Chapman & Hall/CRC Mathematical Biology Series
Autor Sergei V. Petrovskii, Bai-Lian Lien Limba Engleză Hardback – 28 iul 2005
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.
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Specificații
ISBN-13: 9781584885214
ISBN-10: 1584885211
Pagini: 232
Ilustrații: 62 b/w images, 4 halftones and 500 equations
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.48 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Mathematical Biology Series
ISBN-10: 1584885211
Pagini: 232
Ilustrații: 62 b/w images, 4 halftones and 500 equations
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.48 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Mathematical Biology Series
Public țintă
Mathematicians, biological scientists, and ecological researchersCuprins
Models of Biological Invasion. Basic Methods and Relevant Examples. Single-species Models. Density-dependent Diffusion. Models of Interacting Populations. Alternative and Complementary Approaches. Ecological Examples and Applications.
Notă biografică
Petrovskii, Sergei V.; Li, Bai-Lian
Descriere
Exactly Solvable Models of Biological Invasion demonstrates the advantages and methods of obtaining exact solutions of the equations that describe nonlinear problems encountered in the study of invasive species spread. The authors present a comprehensive collection of exactly solvable models and a unified, self-contained description of the relevant mathematical methods. They also provide new insight into important issues such as the impact of the Allee effect and the impact of predation. 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.