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Equilibrium and extinction in stochastic population dynamics

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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.

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  1. Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB, Amsterdam, The Netherlands

    H. Roozen

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  1. H. Roozen
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Roozen, H. Equilibrium and extinction in stochastic population dynamics. Bltn Mathcal Biology 49, 671–696 (1987). https://doi.org/10.1007/BF02481767

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  • DOI: https://doi.org/10.1007/BF02481767

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