The Influence of Demographic Stochasticity on Population Dynamics - A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns (Paperback, Softcover reprint of the original 1st ed. 2014)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Theses
Release date:	September 2016
First published:	2014
Authors:	Tommaso Biancalani
Dimensions:	235 x 155 x 7mm (L x W x T)
Format:	Paperback
Pages:	113
Edition:	Softcover reprint of the original 1st ed. 2014
ISBN-13:	978-3-319-38428-3
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Social sciences > Sociology, social studies > Social research & statistics > General Books > Social sciences > Sociology, social studies > Population & demography > General Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
LSN:	3-319-38428-7
Barcode:	9783319384283

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