Description: Influence of Demographic Stochasticity on Population Dynamics : A Mathematical Study of Noise-induced Bistable States and Stochastic Patterns, Hardcover by Biancalani, Tommaso, ISBN 3319077279, ISBN-13 9783319077277, Like New Used, Free shipping in the US 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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Book Title: Influence of Demographic Stochasticity on Population Dynamics : A
Number of Pages: Xvii, 113 Pages
Publication Name: Influence of Demographic Stochasticity on Population Dynamics : A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns
Language: English
Publisher: Springer International Publishing A&G
Publication Year: 2014
Subject: Life Sciences / Ecology, Probability & Statistics / Stochastic Processes, Probability & Statistics / General, System Theory, Statistics
Type: Textbook
Item Weight: 115 Oz
Subject Area: Mathematics, Social Science, Science
Item Length: 9.3 in
Author: Tommaso Biancalani
Series: Springer Theses Ser.
Item Width: 6.1 in
Format: Hardcover