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.
| ISBN: | 9783319384283 |
| Publication date: | 17th September 2016 |
| Author: | Tommaso Biancalani |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 113 pages |
| Series: | Springer Theses |
| Genres: |
Cybernetics and systems theory Stochastics Biophysics Ecological science, the Biosphere Probability and statistics |
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.
The Influence of Demographic Stochasticity on Population Dynamics features in the following genres: Cybernetics and systems theory, Stochastics, Biophysics, Ecological science, the Biosphere, Probability and statistics
The Influence of Demographic Stochasticity on Population Dynamics is available in Paperback, Hardback
The Influence of Demographic Stochasticity on Population Dynamics was written by Tommaso Biancalani and published by Springer an imprint of Springer International Publishing
The Influence of Demographic Stochasticity on Population Dynamics has 113 pages
Yes it is part of Springer Theses series