The quasi-deterministic limit of population dynamics
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2224307
- author
- Aparicio, J P ; Natiello, Mario LU and Solari, H G
- organization
- publishing date
- 2012
- 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
- 2016-04-01 09:57:00
- date last changed
- 2022-01-25 18:15:28
@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}}, keywords = {{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}}, }