Dynamical Analysis of a Delayed Stochastic Lotka–Volterra Competitive Model in Polluted Aquatic Environments

• Published in: Qualitative theory of dynamical systems Vol. 23; no. 2
• Main Authors: Wang, Quan, Zu, Li
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.04.2024; Springer Nature B.V
• Subjects: Aquatic environment; Computer simulation; Difference and Functional Equations; Dynamical Systems and Ergodic Theory; Ecological effects; Extinction; Fokker-Planck equation; Liapunov functions; Martingales; Mathematics; Mathematics and Statistics; Probability density functions; Toxins; White noise; Toxin-mediated competitive model with time-delay; Pathwise estimation; Probability density function; Invariant measure; Persistence and extinction

A stochastic toxin-mediated Lotka–Volterra competitive model with time-delay is formulated. Our primary goal is to study the impacts of white noise, environmental toxins and time-delay on population dynamics of the model. To begin with, we demonstrate that there exists a globally positive solution w...