On a class of deterministic population models with stochastic foundation.
Generalising a site-based stochastic model due to Royama, Solé et al. and Sumpter et al., we investigate competition in a single species with discrete, non-overlapping generations. We show that the deterministic limit of the dynamics depends on a few easily interpretable parameters only. Further, we discuss qualitative properties and limit sets of the corresponding difference equations, and we relate these to modes of competition. Moreover, a detailed analysis of stochastic effects in some relevant scenarios indicates that the behaviour of the stochastic model is very sensitive to further details of the model.
Gotzen
Bernd
B
Lehrstuhl A für Mathematik, RWTH Aachen, Aachen, Germany.
Liebscher
Volkmar
V
Walcher
Sebastian
S
D000818:Animals; D003198:Computer Simulation; D017753:Ecosystem; D008954:Models, Biological; D011157:Population Dynamics; D013269:Stochastic Processes