Description |
1 online resource (vi, 205 pages) : illustrations |
Series |
Tutorials in mathematical biosciences ; IV |
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Lecture notes in mathematics, 0075-8434 ; 1922. Mathematical biosciences subseries |
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Tutorials in mathematical biosciences ; 4.
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Lecture notes in mathematics (Springer-Verlag) ; 1922.
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Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries.
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Contents |
Inference of phylogenetic trees / L.S. Kubatko -- Large-scale phylogenetic analysis of emerging infectious diseases / D. Janies and D. Pol -- Reaction-diffusion equations and ecological modeling / C. Cosner -- The dynamics of migration-selection models / T. Nagylaki and Y. Lou -- Some challenging mathematical problems in evolution of dispersal and population dynamics / Y. Lou |
Summary |
The book offers an easy introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. The first two chapters review the concept and methodologies of phylogenetic trees; computational schemes and illustrations are given, including applications such as tracing the origin of SARS and influenza. The third chapter introduces the reader to ecological models, including predator-prey models. This chapter includes and introduction to reaction-diffusion equations, which are used to analyze the ecological models. The next chapter reviews a broad range of ongoing research in population dynamics, including evolution of dispersal models; it also features interesting mathematical theorems and lists open problems. The final chapter deals with gene frequencies under the action of migration and selection. The book is addressed to readers at the level of grad students and researchers. A background in PDEs is provided |
Notes |
"These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical Biosciences Institute (MBI), at The Ohio State University"--Preface |
Bibliography |
Includes bibliographical references |
Notes |
Print version record |
In |
Springer eBooks |
Subject |
Evolution (Biology) -- Mathematical models
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Ecology -- Mathematical models
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Phylogeny -- Mathematical models
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Population genetics -- Mathematical models.
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Genética de poblaciones
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Filogenia
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Ecología
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Evolución
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Ecology -- Mathematical models
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Evolution (Biology) -- Mathematical models
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Population genetics -- Mathematical models
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Form |
Electronic book
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Author |
Friedman, Avner.
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Cosner, Chris.
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Mathematical Biosciences Institute at the Ohio State University.
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LC no. |
2007933684 |
ISBN |
9783540743316 |
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3540743316 |
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9783540743286 |
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3540743286 |
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