Dynamics of populations in a changing environment
Authored by M Droz, A Pekalski
Date Published: 2002
DOI: 10.1103/physreve.65.051911
Sponsors:
Swiss National Science Foundation (SNSF)
Platforms:
No platforms listed
Model Documentation:
Other Narrative
Mathematical description
Model Code URLs:
Model code not found
Abstract
We present an individual-based model of a population that lives in a
changing environment. The individuals forming the population are subject
to mutations and selection pressure. Using Monte Carlo simulations we
have shown that, depending on the values of the mutation rate and
selection, the population may reach either an active phase (it will
survive) or an absorbing phase (it will become extinct). We have
determined that the transition between the two states (phases) is
continuous. We have shown that when the selection is weaker the
population lives in all available space, while if the selection is
stronger, it will move to the regions where the living conditions are
better, avoiding those with more difficult conditions. The dependence of
the mean time to extinction on the rate of mutations has been determined
and discussed.
Tags
Migration
Evolution
selection
Model
Extinction