Eur. Phys. J. B 25, 253-259 (2002)
https://doi.org/10.1140/epjb/e20020029

In search for the optimal strategy in population dynamics

Institute of Theoretical Physics, University of Wrocław, pl. Maxa Borna 9, 50-204 Wrocław, Poland

Corresponding author: ^a kweron@ift.uni.wroc.pl

Received: 10 June 2001
Revised: 22 November 2001
Published online: 15 January 2002

Abstract

A unification of recently proposed models describing population dynamics is presented. We study the effect of different factors, like environmental conditions, concentration of individuals in a given area and migration strategies, on population dynamics. Moreover, we show that a population occupying a smaller area is more susceptible to extinction, which is a well known biological fact. We solve the model using Monte Carlo simulations and the mean-field approach. Constructing flow diagrams we find the optimal strategy in population dynamics.