Abstract
In this paper, we investigate a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps. We present the analysis and the criteria of the asymptotic behavior for this perturbed model via Lyapunov functions. Our results show that both colored noise and Lévy noise have important effects on the survival and extinction of the species.
•A food-limited L–V mutualism model with Markovian switching and Lévy jumps is studied.•We present the criteria of the asymptotic behavior for this model via Lyapunov functions.•Both colored noise and Lévy noise have effects on the survival and extinction of the species.