Particle Statistics and Population Dynamics

Details Particle Statistics and Population Dynamics Particle Statistics and Population Dynamics

2004-12-30

arxiv.org/abs/q-bio/0412049v1

Biology

Quantitative Biology

Populations and Evolution

Scientific paper

10.1016/j.physa.2005.02.021

We study a master equation system modelling a population dynamics problem in a lattice. The problem is the calculation of the minimum size of a refuge that can protect a population from hostile external conditions, the so called critical patch size problem. We analize both cases in which the particles are considered fermions and bosons and show using exact analitical methods that, while the Fermi-Dirac statistics leads to certain extinction for any refuge size, the Bose-Eistein statistics allows survival even for the minimal refuge.

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