Stochastic competitive Lotka–Volterra ecosystems under partial observation: Feedback controls for permanence and extinction

Coexistence and exclusion of stochastic competitive Lotka–Volterra models

“…in [2] consider competitive system with jumps. Meanwhile, Tran and Yin [30] use a Wonham filter to deal with a regime-switching Lotka-Volterra model in which the switching is a hidden Markov chain. In the aforementioned papers, some nice estimates on moment and pathwise asymptotic behaviors have been given.…”

A note on a competitive Lotka-Volterra model with Lévy noise

“…The stochastic permanence definition of multi-population systems was first proposed by Li et al [5] and has been intensively applied (see e.g. [13,[15][16][17]…”

Permanence and asymptotic behaviors of stochastic competitive Lotka-Volterra system with Markov switching and Lévy noise

“…The above stochastic permanence definition of multi-population system was first proposed by Li et al [5] and has been intensively applied (see e.g. [6,17,22,26,27]).…”