The quasi-deterministic limit of population dynamics

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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...

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Autores principales:	Aparicio, J.P., Natiello, M.A., Solari, H.G.
Formato:	JOUR
Materias:	Diffusion approximation Feller process Langevin approach Poisson approximation SDE Stochastic population dynamics Diffusion approximations Langevin Poisson approximations Dynamics Poisson distribution Diffusion
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_09731377_v26_n2_p30_Aparicio
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_09731377_v26_n2_p30_Aparicio
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spelling	todo:paper_09731377_v26_n2_p30_Aparicio2023-10-03T15:55:37Z The quasi-deterministic limit of population dynamics Aparicio, J.P. Natiello, M.A. Solari, H.G. Diffusion approximation Feller process Langevin approach Poisson approximation SDE Stochastic population dynamics Diffusion approximations Feller process Langevin Poisson approximations SDE Stochastic population dynamics Dynamics Poisson distribution Diffusion 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. © 2011-12 by IJAMAS, CESER Publications. Fil:Aparicio, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Natiello, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Solari, H.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09731377_v26_n2_p30_Aparicio
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Diffusion approximation Feller process Langevin approach Poisson approximation SDE Stochastic population dynamics Diffusion approximations Feller process Langevin Poisson approximations SDE Stochastic population dynamics Dynamics Poisson distribution Diffusion
spellingShingle	Diffusion approximation Feller process Langevin approach Poisson approximation SDE Stochastic population dynamics Diffusion approximations Feller process Langevin Poisson approximations SDE Stochastic population dynamics Dynamics Poisson distribution Diffusion Aparicio, J.P. Natiello, M.A. Solari, H.G. The quasi-deterministic limit of population dynamics
topic_facet	Diffusion approximation Feller process Langevin approach Poisson approximation SDE Stochastic population dynamics Diffusion approximations Feller process Langevin Poisson approximations SDE Stochastic population dynamics Dynamics Poisson distribution Diffusion
description	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. © 2011-12 by IJAMAS, CESER Publications.
format	JOUR
author	Aparicio, J.P. Natiello, M.A. Solari, H.G.
author_facet	Aparicio, J.P. Natiello, M.A. Solari, H.G.
author_sort	Aparicio, J.P.
title	The quasi-deterministic limit of population dynamics
title_short	The quasi-deterministic limit of population dynamics
title_full	The quasi-deterministic limit of population dynamics
title_fullStr	The quasi-deterministic limit of population dynamics
title_full_unstemmed	The quasi-deterministic limit of population dynamics
title_sort	quasi-deterministic limit of population dynamics
url	http://hdl.handle.net/20.500.12110/paper_09731377_v26_n2_p30_Aparicio
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_version_	1807318830734639104

The quasi-deterministic limit of population dynamics

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