Artículo

Aparicio, J.P.; Natiello, M.A.; Solari, H.G. "The quasi-deterministic limit of population dynamics" (2012) International Journal of Applied Mathematics and Statistics. 26(2):30-45
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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. © 2011-12 by IJAMAS, CESER Publications.

Registro:

Documento: Artículo
Título:The quasi-deterministic limit of population dynamics
Autor:Aparicio, J.P.; Natiello, M.A.; Solari, H.G.
Filiación:INENCO, Universidad Nacional de Salta, Av. Bolivia 5150, 4400 Salta, Argentina
Center for Mathematical Sciences, Lund University, Box 118, 221 00 LUND, Sweden
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IFIBACONICET, Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina
Palabras clave: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
Año:2012
Volumen:26
Número:2
Página de inicio:30
Página de fin:45
Título revista:International Journal of Applied Mathematics and Statistics
Título revista abreviado:Int. J. Appl. Math. Stat.
ISSN:09731377
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09731377_v26_n2_p30_Aparicio

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Citas:

---------- APA ----------
Aparicio, J.P., Natiello, M.A. & Solari, H.G. (2012) . The quasi-deterministic limit of population dynamics. International Journal of Applied Mathematics and Statistics, 26(2), 30-45.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09731377_v26_n2_p30_Aparicio [ ]
---------- CHICAGO ----------
Aparicio, J.P., Natiello, M.A., Solari, H.G. "The quasi-deterministic limit of population dynamics" . International Journal of Applied Mathematics and Statistics 26, no. 2 (2012) : 30-45.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09731377_v26_n2_p30_Aparicio [ ]
---------- MLA ----------
Aparicio, J.P., Natiello, M.A., Solari, H.G. "The quasi-deterministic limit of population dynamics" . International Journal of Applied Mathematics and Statistics, vol. 26, no. 2, 2012, pp. 30-45.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09731377_v26_n2_p30_Aparicio [ ]
---------- VANCOUVER ----------
Aparicio, J.P., Natiello, M.A., Solari, H.G. The quasi-deterministic limit of population dynamics. Int. J. Appl. Math. Stat. 2012;26(2):30-45.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09731377_v26_n2_p30_Aparicio [ ]