| 书目名称 | The Influence of Demographic Stochasticity on Population Dynamics |
| 副标题 | A Mathematical Study |
| 编辑 | Tommaso Biancalani |
| 视频video | |
| 概述 | 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 sta |
| 丛书名称 | Springer Theses |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2014 |
| 关键词 | Fluctuation in Small Populations; Fokker-Planck Equation; Gillespie Algorithm; Noise-induced Bistabilit |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-07728-4 |
| isbn_softcover | 978-3-319-38428-3 |
| isbn_ebook | 978-3-319-07728-4Series ISSN 2190-5053 Series E-ISSN 2190-5061 |
| issn_series | 2190-5053 |
| copyright | Springer International Publishing Switzerland 2014 |
发表于 2025-3-21 17:57:11
