The quasi-deterministic limit of population dynamics

• 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.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Stochastic Population Dynamics, Feller Process, Poisson Approximation, Diffusion Approximation, Langevin approach, SDE

Publication and Content Type

art (subject category)

ref (subject category)