Amendment to: populations in environments with a soft carrying capacity are eventually extinct
Journal article, 2021

This sharpens the result in the paperJagers and Zuyev (J Math Biol 81:845-851, 2020): consider a population changing at discrete (but arbitrary and possibly random) time points, the conditional expected change, given the complete past population history being negative, whenever population size exceeds a carrying capacity. Further assume that there is an epsilon > 0 such that the conditional probability of a population decrease at the next step, given the past, always exceeds epsilon if the population is not extinct but smaller than the carrying capacity. Then the population must die out.

Stochastic stability

Population dynamics

Martingales

Extinction

Author

Peter Jagers

University of Gothenburg

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Sergey Zuev

University of Gothenburg

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Journal of Mathematical Biology

0303-6812 (ISSN) 1432-1416 (eISSN)

Vol. 83 1 3

Subject Categories

Evolutionary Biology

Ecology

History

DOI

10.1007/s00285-021-01624-z

PubMed

34155565

More information

Latest update

12/16/2021