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The Influence of Demographic Stochasticity on Population Dynamics: A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns: Springer Theses

Autor Tommaso Biancalani
en Limba Engleză Hardback – 25 iun 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.
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Specificații

ISBN-13: 9783319077277
ISBN-10: 3319077279
Pagini: 132
Ilustrații: XVII, 113 p. 37 illus., 16 illus. in color.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.36 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seria Springer Theses

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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

Notă biografică

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 population dynamics. He has obtained a PhD in theoretical physics from the University of Manchester in 2013, under the supervision of Prof. Alan McKane.

Textul de pe ultima copertă

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.

Caracteristici

Nominated as an outstanding Ph.D. thesis by the University of Manchester, UK
Reviews the basic concepts of pattern instabilities
Introduces the novel explanatory concepts of noise-induced bistable states and stochastic patterns
Describes an improvement to the van Kampen expansion
Includes supplementary material: sn.pub/extras