1.

Record Nr.

UNINA9910300389403321

Autore

Biancalani Tommaso

Titolo

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

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-07728-7

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (123 p.)

Collana

Springer Theses, Recognizing Outstanding Ph.D. Research, , 2190-5053

Disciplina

530.15950285

Soggetti

Sociophysics

Econophysics

Probabilities

Biotic communities

Biophysics

Data-driven Science, Modeling and Theory Building

Probability Theory and Stochastic Processes

Community & Population Ecology

Biological and Medical Physics, Biophysics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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

Sommario/riassunto

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.