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Dynamics of Evolutionary Equations

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 374/5 ( reviews)

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Book Synopsis Dynamics of Evolutionary Equations by : George R. Sell

Download or read book Dynamics of Evolutionary Equations written by George R. Sell. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. This book serves as an entrée for scholars beginning their journey into the world of dynamical systems, especially infinite dimensional spaces. The main approach involves the theory of evolutionary equations.

Evolutionary Dynamics

2006-09-29 Science
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Release : 2006-09-29
Genre : Science
Kind : eBook
Book Rating : 755/5 ( reviews)

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Book Synopsis Evolutionary Dynamics by : Martin A. Nowak

Download or read book Evolutionary Dynamics written by Martin A. Nowak. This book was released on 2006-09-29. Available in PDF, EPUB and Kindle. Book excerpt: At a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context of its evolution. Evolutionary change is the consequence of mutation and natural selection, which are two concepts that can be described by mathematical equations. Evolutionary Dynamics is concerned with these equations of life. In this book, Martin A. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His work introduces readers to the powerful yet simple laws that govern the evolution of living systems, no matter how complicated they might seem. Evolution has become a mathematical theory, Nowak suggests, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics. His book presents a range of analytical tools that can be used to this end: fitness landscapes, mutation matrices, genomic sequence space, random drift, quasispecies, replicators, the Prisoner’s Dilemma, games in finite and infinite populations, evolutionary graph theory, games on grids, evolutionary kaleidoscopes, fractals, and spatial chaos. Nowak then shows how evolutionary dynamics applies to critical real-world problems, including the progression of viral diseases such as AIDS, the virulence of infectious agents, the unpredictable mutations that lead to cancer, the evolution of altruism, and even the evolution of human language. His book makes a clear and compelling case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.

Evolutionary Equations with Applications in Natural Sciences

2014-11-07 Mathematics
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Release : 2014-11-07
Genre : Mathematics
Kind : eBook
Book Rating : 224/5 ( reviews)

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Book Synopsis Evolutionary Equations with Applications in Natural Sciences by : Jacek Banasiak

Download or read book Evolutionary Equations with Applications in Natural Sciences written by Jacek Banasiak. This book was released on 2014-11-07. Available in PDF, EPUB and Kindle. Book excerpt: With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory. The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.

Dynamics of Evolutionary Equations

2014-01-15
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Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 386/5 ( reviews)

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Book Synopsis Dynamics of Evolutionary Equations by : George R. Sell

Download or read book Dynamics of Evolutionary Equations written by George R. Sell. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Population Games and Evolutionary Dynamics

2010-12-17 Business & Economics
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Release : 2010-12-17
Genre : Business & Economics
Kind : eBook
Book Rating : 879/5 ( reviews)

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Book Synopsis Population Games and Evolutionary Dynamics by : William H. Sandholm

Download or read book Population Games and Evolutionary Dynamics written by William H. Sandholm. This book was released on 2010-12-17. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary game theory studies the behaviour of large populations of strategically interacting agents & is used by economists to predict in settings where traditional assumptions about the rationality of agents & knowledge may be inapplicable.

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