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The Influence of Demographic Stochasticity on Population Dynamics - A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns (Hardcover, 2014 ed.)
Loot Price: R3,190
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The Influence of Demographic Stochasticity on Population Dynamics - A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns (Hardcover, 2014 ed.)
Series: Springer Theses
Expected to ship within 12 - 17 working days
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The dynamics of population systems cannot be understood within the
framework of ordinary differential equations, which assume that the
number of interacting agents is infinite. With recent advances in
ecology, biochemistry and genetics it is becoming increasingly
clear that real systems are in fact subject to a great deal of
noise. Relevant examples include social insects competing for
resources, molecules undergoing chemical reactions in a cell and a
pool of genomes subject to evolution.When the population size is
small, novel macroscopic phenomena can arise, which can be analyzed
using the theory of stochastic processes. This thesis is centered
on two unsolved problems in population dynamics: the symmetry
breaking observed in foraging populations and the robustness of
spatial patterns. We argue that these problems can be resolved with
the help of two novel concepts: noise-induced bistable states and
stochastic patterns.
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