Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching

• Published in: Communications in nonlinear science & numerical simulation Vol. 59; pp. 359 - 374
• Main Authors: Yu, Xingwang, Yuan, Sanling, Zhang, Tonghua
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.06.2018; Elsevier Science Ltd
• Subjects: Allee effect; Computer simulation; Ergodic processes; Ergodicity; Extinction; Liapunov functions; Mathematical models; Numerical analysis; Regime switching; Simulation; Stochastic models; Stochastic single species model; Studies; Survival analysis; Switching; Survival analysis; Stochastic single species model; 92B05; Regime switching; Allee effect; Ergodicity; 60J28; 37H10

Allee effect can interact with environment stochasticity and is active when population numbers are small. Our goal of this paper is to investigate such effect on population dynamics. More precisely, we develop and investigate a stochastic single species model with Allee effect under regime switching...