Persistence and Stochastic Extinction in a Lotka–Volterra Predator–Prey Stochastically Perturbed Model

Persistence and Stochastic Extinction in a Lotka–Volterra Predator–Prey Stochastically Perturbed Model

The classical Lotka–Volterra predator–prey model is globally stable and uniformly persistent. However, in real-life biosystems, the extinction of species due to stochastic effects is possible and may occur if the magnitudes of the stochastic effects are large enough. In this paper, we consider the c...

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Bibliographic Details
Main Authors: Leonid Shaikhet, Andrei Korobeinikov
Format: Article
Language:English
Published: MDPI AG 2024-05-01
Series:Mathematics
Subjects:
stochastic perturbations
white noise
Ito’s stochastic differential equation
the Lyapunov functions method
stability in probability
stabilization by noise
Online Access:https://www.mdpi.com/2227-7390/12/10/1588

Internet

https://www.mdpi.com/2227-7390/12/10/1588

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