Springer Theses

The Influence of Demographic Stochasticity on Population Dynamics

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

Authors: Biancalani, Tommaso

  • 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
see more benefits

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-07728-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-07727-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-38428-3
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

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.

About the authors

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.

Table of contents (6 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-07728-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-07727-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-38428-3
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
The Influence of Demographic Stochasticity on Population Dynamics
Book Subtitle
A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns
Authors
Series Title
Springer Theses
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-07728-4
DOI
10.1007/978-3-319-07728-4
Hardcover ISBN
978-3-319-07727-7
Softcover ISBN
978-3-319-38428-3
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XVII, 113
Number of Illustrations and Tables
21 b/w illustrations, 16 illustrations in colour
Topics