The Influence of Demographic Stochasticity on Population Dynamics: A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns by Tommaso BiancalaniThe Influence of Demographic Stochasticity on Population Dynamics: A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns by Tommaso Biancalani

The Influence of Demographic Stochasticity on Population Dynamics: A Mathematical Study of Noise…

byTommaso Biancalani

Hardcover | June 25, 2014

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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.
Tommaso Biancalani is currently a post-doctoral researcher with a joint appointment at the NASA Astrobiology Institute and the Department of Physics at the University of Illinois. He is working on the evolutionary theory of the origin of life. Previously, he contributed to the fields of non-equilibrium statistical mechanics and populat...
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Title:The Influence of Demographic Stochasticity on Population Dynamics: A Mathematical Study of Noise…Format:HardcoverDimensions:113 pagesPublished:June 25, 2014Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319077279

ISBN - 13:9783319077277

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Table of Contents

Introduction.- Methods.- Noise-Induced Bistability.- Stochastic Waves on Regular Lattices.- Stochastic Waves on Complex Network.- Conclusions.