Bulletin of Mathematical Biology

, Volume 49, Issue 6, pp 671–696 | Cite as

Equilibrium and extinction in stochastic population dynamics

  • H. Roozen
Article

Abstract

Stochastic models of interacting biological populations, with birth and death rates depending on the population size are studied in the quasi-stationary state. Confidence regions in the state space are constructed by a new method for the numerical, solution of the ray equations. The concept of extinction time, which is closely related to the concept of stability for stochastic systems, is discussed. Results of numerical calculations for two-dimensional stochastic population models are presented.

Keywords

Equilibrium Point Stochastic System Confidence Region Competition Model Exit Time 

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Copyright information

© Society for Mathematical Biology 1987

Authors and Affiliations

  • H. Roozen
    • 1
  1. 1.Centre for Mathematics and Computer ScienceAmsterdamThe Netherlands

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