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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Detalles Bibliográficos
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
Descripción
Sumario: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.

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