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Author : Paul Marrow
Release : 1992
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Evolution and Dynamics of Interacting Populations by : Paul Marrow
Download or read book The Evolution and Dynamics of Interacting Populations written by Paul Marrow. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William H. Sandholm
Release : 2010-12-17
Genre : Business & Economics
Kind : eBook
Book Rating : 879/5 ( reviews)
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.
Author : A. D. Bazykin
Release : 1998
Genre : Science
Kind : eBook
Book Rating : 856/5 ( reviews)
Book Synopsis Nonlinear Dynamics of Interacting Populations by : A. D. Bazykin
Download or read book Nonlinear Dynamics of Interacting Populations written by A. D. Bazykin. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka-Volterra system, various regulating factors are considered, such as rates of birth and death, predation and competition. The different factors can have a stabilizing or a destabilizing effect on the community, and their interplay leads to increasingly complicated behavior. Studying and understanding this path to greater dynamical complexity of ecological systems constitutes the backbone of this book. On the mathematical side, the tool of choice is the qualitative theory of dynamical systems — most importantly bifurcation theory, which describes the dependence of a system on the parameters. This approach allows one to find general patterns of behavior that are expected to be observed in ecological models. Of special interest is the reaction of a given model to disturbances of its present state, as well as to changes in the external conditions. This leads to the general idea of “dangerous boundaries” in the state and parameter space of an ecological system. The study of these boundaries allows one to analyze and predict qualitative and often sudden changes of the dynamics — a much-needed tool, given the increasing antropogenic load on the biosphere.As a spin-off from this approach, the book can be used as a guided tour of bifurcation theory from the viewpoint of application. The interested reader will find a wealth of intriguing examples of how known bifurcations occur in applications. The book can in fact be seen as bridging the gap between mathematical biology and bifurcation theory.
Author : Alexander D Bazykin
Release : 1998-05-08
Genre : Science
Kind : eBook
Book Rating : 294/5 ( reviews)
Book Synopsis Nonlinear Dynamics Of Interacting Populations by : Alexander D Bazykin
Download or read book Nonlinear Dynamics Of Interacting Populations written by Alexander D Bazykin. This book was released on 1998-05-08. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka-Volterra system, various regulating factors are considered, such as rates of birth and death, predation and competition. The different factors can have a stabilizing or a destabilizing effect on the community, and their interplay leads to increasingly complicated behavior. Studying and understanding this path to greater dynamical complexity of ecological systems constitutes the backbone of this book. On the mathematical side, the tool of choice is the qualitative theory of dynamical systems — most importantly bifurcation theory, which describes the dependence of a system on the parameters. This approach allows one to find general patterns of behavior that are expected to be observed in ecological models. Of special interest is the reaction of a given model to disturbances of its present state, as well as to changes in the external conditions. This leads to the general idea of “dangerous boundaries” in the state and parameter space of an ecological system. The study of these boundaries allows one to analyze and predict qualitative and often sudden changes of the dynamics — a much-needed tool, given the increasing antropogenic load on the biosphere.As a spin-off from this approach, the book can be used as a guided tour of bifurcation theory from the viewpoint of application. The interested reader will find a wealth of intriguing examples of how known bifurcations occur in applications. The book can in fact be seen as bridging the gap between mathematical biology and bifurcation theory.
Author : Josef Hofbauer
Release : 1998-05-28
Genre : Mathematics
Kind : eBook
Book Rating : 708/5 ( reviews)
Book Synopsis Evolutionary Games and Population Dynamics by : Josef Hofbauer
Download or read book Evolutionary Games and Population Dynamics written by Josef Hofbauer. This book was released on 1998-05-28. Available in PDF, EPUB and Kindle. Book excerpt: Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.
