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Nonlinear Models of Interacting Populations

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Release : 2012-12-02
Genre : Science
Kind : eBook
Book Rating : 93X/5 ( reviews)

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Book Synopsis Nonlinear Models of Interacting Populations by : N Goel

Download or read book Nonlinear Models of Interacting Populations written by N Goel. This book was released on 2012-12-02. Available in PDF, EPUB and Kindle. Book excerpt: On the Volterra and Other Nonlinear Models of Interacting Populations explores the various models brought upon to investigate the different assemblies known to man. Assemblies include populations of various biological species, countries, and political parties among others. Because there are numerous assemblies to be measured and evaluated, it has been decided that a standard model be used to ascertain a detailed investigation. One of the models that have been brought forward is introduced by Volterra, which started as a basis for ecological processes. The book begins by establishing that Volterra's model is one of the simplest nonlinear competition models. It explores the model through the study of the population growth of a species. It also covers other theories and concepts relating to the Volterra model in the context of the study. These include equilibrium theory, diversity and stability in ecological systems, and time lags in population among others. The book is a helpful reference for students, researchers, scientists, policymakers, and other parties in search of model/s that fully investigate different assemblies.

Nonlinear Models of Interacting Populations

Download Nonlinear Models of Interacting Populations PDF Online Free

Author :
Release : 1971
Genre :
Kind : eBook
Book Rating : 505/5 ( reviews)

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Book Synopsis Nonlinear Models of Interacting Populations by : Narendra S. Goel

Download or read book Nonlinear Models of Interacting Populations written by Narendra S. Goel. This book was released on 1971. Available in PDF, EPUB and Kindle. Book excerpt:

On the Volterra and Other Nonlinear Models of Interacting Populations Nonlinear Models in Interacting Populations

Download On the Volterra and Other Nonlinear Models of Interacting Populations Nonlinear Models in Interacting Populations PDF Online Free

Author :
Release : 1971
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis On the Volterra and Other Nonlinear Models of Interacting Populations Nonlinear Models in Interacting Populations by : N. S. Goel

Download or read book On the Volterra and Other Nonlinear Models of Interacting Populations Nonlinear Models in Interacting Populations written by N. S. Goel. This book was released on 1971. Available in PDF, EPUB and Kindle. Book excerpt:

On the Volterra and Other Nonlinear Models of Interacting Populations

Download On the Volterra and Other Nonlinear Models of Interacting Populations PDF Online Free

Author :
Release : 1971
Genre : Animal populations
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis On the Volterra and Other Nonlinear Models of Interacting Populations by : N. S. M. Goel

Download or read book On the Volterra and Other Nonlinear Models of Interacting Populations written by N. S. M. Goel. This book was released on 1971. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics of Interacting Populations

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Author :
Release : 1998
Genre : Science
Kind : eBook
Book Rating : 856/5 ( reviews)

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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.

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