×

Individual based model with competition in spatial ecology. (English) Zbl 1185.60110

Summary: We analyze an interacting particle system with a Markov evolution of birth-and-death type. We have shown that a local competition mechanism (realized via a density dependent mortality) leads to a globally regular behavior of the population in the course of the stochastic evolution.

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
92D40 Ecology
82C21 Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics
82C22 Interacting particle systems in time-dependent statistical mechanics
PDFBibTeX XMLCite
Full Text: DOI arXiv