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- Title
Persistence Analysis of a Stochastic Single Species Population Model with Allee Effect.
- Authors
Xu, Chaoqun; Li, Guohua
- Abstract
This paper considers a stochastic single species population model with the Allee effect. We mainly analyze the persistence of population, and obtain the strictly critical conditions of persistence and extinction of population: When σ 2 ≥ 2 (r − a) , the population will go extinct in probability; when σ 2 < 2 (r − a) , the stochastic model possesses a unique stationary distribution which implies that the population is permanent. The obtained results are finally verified through numerical simulations.
- Subjects
ALLEE effect; STOCHASTIC models; SPECIES; COMPUTER simulation; LOTKA-Volterra equations; STOCHASTIC analysis
- Publication
Fluctuation & Noise Letters, 2022, Vol 21, Issue 4, p1
- ISSN
0219-4775
- Publication type
Article
- DOI
10.1142/S0219477522500328