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 analyse both cases in which the particles are considered fermions and bosons and show using exact analytical methods that, while the Fermi-Dirac statistics lead to certain extinction for any refuge size, the Bose-Einstein statistics allow survival even for the minimal refuge. © 2005 Elsevier B.V. All rights reserved.
Escudero, C. (2005). Particle statistics and population dynamics. Physica A: Statistical Mechanics and Its Applications, 354(1–4), 371–380. https://doi.org/10.1016/j.physa.2005.02.021