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Books > Social sciences > Sociology, social studies > Population & demography
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Nonlinear Dynamics Of Interacting Populations (Hardcover)
Loot Price: R3,461
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Nonlinear Dynamics Of Interacting Populations (Hardcover)
Series: World Scientific Series on Nonlinear Science Series A, 11
Expected to ship within 10 - 15 working days
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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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