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The Influence of Demographic Stochasticity on Population Dynamics

A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns

Tommaso Biancalani (Autor)

Buch | Hardcover

XVII, 113 Seiten

2014 | 2014
Springer International Publishing (Verlag)
978-3-319-07727-7 (ISBN)

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

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

Erscheint lt. Verlag	25.6.2014
Reihe/Serie	Springer Theses
Zusatzinfo	XVII, 113 p. 37 illus., 16 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	368 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Sozialwissenschaften ► Soziologie ► Empirische Sozialforschung
Schlagworte	Data-driven Science, Modeling and Theory Building • Fluctuation in Small Populations • Fokker-Planck Equation • Gillespie algorithm • Noise-induced Bistability • Population Dynamics and Noise • Robustness of Spatial Patterns • stochastic patterns • Symmetry Breaking in Foraging Populations • Van Kampen Expansion
ISBN-10	3-319-07727-9 / 3319077279
ISBN-13	978-3-319-07727-7 / 9783319077277
Zustand	Neuware