Particle Statistics and Population Dynamics
arXiv:q-bio/0412049 · doi:10.1016/j.physa.2005.02.021
Abstract
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.
References in corpus (7)
- Reaction-Diffusion Processes, Critical Dynamics and Quantum Chains
- Field Theory of Branching and Annihilating Random Walks
- Clustering, advection and patterns in a model of population dynamics with neighborhood-dependent rates
- Extinction in population dynamics
- Generalized empty-interval method applied to a class of one-dimensional stochastic models
- Solution of a one-dimensional stochastic model with branching and coagulation reactions
- A two-species d-dimensional diffusive model and its mapping onto a growth model