The quasi-deterministic limit of population dynamics.

J P APARICIO; M A NATIELLO; H G SOLARI

International Journal of Applied Mathematics and Statistics

CSER

Año: 2012 vol. 26 p. 30 - 45

0973-7545

    We review, discuss and compare different, but related, approximations to the stochastic dynamicsof populations, all of them having as limit the same deterministic dynamics. The diffusion approxima-tion, linearized diffusion approximation and the Poisson approximation are briefly revisited and theirquality as approximations for large, but given, populations is addressed analytically as well as withdemonstrative examples. To this end we introduce the Integer-Gauss approximation to the Poissonapproach and use it to discuss the relation among different techniques.