The quasi-deterministic limit of population dynamics

J P APARICIO; M A NATIELLO; H G SOLARI

International Journal of Mathematics and Applied Statistics

Serial Publications

Lugar: New Dehli; Año: 2010

0973-5739

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 weintroduce the Integer-Gauss approximation to the Poisson approach and use it to discuss the relation among different techniques.