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The quasi-deterministic limit of population dynamics

Aparicio, J P; Natiello, Mario LU and Solari, H G (2012) In International Journal of Applied Mathematics and Statistics 26(2). p.30-45
Abstract
We review, discuss and compare different, but related, approximations to the stochastic dynamics of populations, all of them having as limit the same deterministic dynamics. The diffusion approximation, linearized diffusion approximation and the Poisson approximation are briefly revisited and their quality as approximations for large, but given, populations is addressed analytically as well as with demonstrative examples. To this end we introduce the Integer-Gauss approximation to the Poisson approach and use it to discuss the relation among different techniques.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Stochastic Population Dynamics, Feller Process, Poisson Approximation, Diffusion Approximation, Langevin approach, SDE
in
International Journal of Applied Mathematics and Statistics
volume
26
issue
2
pages
30 - 45
publisher
Centre for Environment, Social & Economic Research (CESER)
external identifiers
  • scopus:84866744405
ISSN
0973-1377
language
English
LU publication?
yes
id
b36a30f7-5414-4bd5-a6ab-f9df075cf0cd (old id 2224307)
date added to LUP
2012-01-20 19:34:06
date last changed
2017-04-02 03:02:26
@article{b36a30f7-5414-4bd5-a6ab-f9df075cf0cd,
  abstract     = {We review, discuss and compare different, but related, approximations to the stochastic dynamics of populations, all of them having as limit the same deterministic dynamics. The diffusion approximation, linearized diffusion approximation and the Poisson approximation are briefly revisited and their quality as approximations for large, but given, populations is addressed analytically as well as with demonstrative examples. To this end we introduce the Integer-Gauss approximation to the Poisson approach and use it to discuss the relation among different techniques.},
  author       = {Aparicio, J P and Natiello, Mario and Solari, H G},
  issn         = {0973-1377},
  keyword      = {Stochastic Population Dynamics, Feller Process, Poisson Approximation, Diffusion Approximation, Langevin approach, SDE},
  language     = {eng},
  number       = {2},
  pages        = {30--45},
  publisher    = {Centre for Environment, Social & Economic Research (CESER)},
  series       = {International Journal of Applied Mathematics and Statistics},
  title        = {The quasi-deterministic limit of population dynamics},
  volume       = {26},
  year         = {2012},
}