A stochastic single-species population model with partial pollution tolerance in a polluted environment

We propose a single-species population model with partial pollution tolerance in a polluted environment in this contribution, and introduce the random perturbation of the birth rate of single-species population into this model. The extinction occurs around the pollution-free equilibrium under some m...

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Bibliographic Details
Published in:Applied mathematics letters 2017-01, Vol.63, p.130-136
Main Authors: Wei, Fengying, Geritz, Stefan A.H., Cai, Jiaying
Format: Article
Language:English
Subjects:
Extinction
Random perturbation
Single-species population
Stationary distribution
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Summary:We propose a single-species population model with partial pollution tolerance in a polluted environment in this contribution, and introduce the random perturbation of the birth rate of single-species population into this model. The extinction occurs around the pollution-free equilibrium under some moderate conditions, and the stationary distribution with ergodicity is derived around the positive equilibrium. Numerical simulations demonstrate the efficiency of our main results.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2016.07.026