Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Nonlinear Dyn of Interacting Pop.. (V11)

Nonlinear Dyn of Interacting Pop.. (V11)

Bazykin Alexander

Hardcover

Series: Ws Nonlinear Science Series a, Book 11

Environmental StudiesGeneral Science

ISBN10: 9810216858
ISBN13: 9789810216856
Publisher: World Scientific Publishing Company
Published: May 22 1998
Pages: 216
Weight: 1.20
Height: 0.56 Width: 6.69 Depth: 9.61
Language: English

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.

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