Asymptotic behavior of a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps

Qun Liu, Daqing Jiang, Tasawar Hayat and Ahmed Alsaedi

Physica A: Statistical Mechanics and its Applications, 2018, vol. 505, issue C, 94-104

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.

Keywords: Food-limited Lotka–Volterra mutualism model; Markovian switching; Lévy jumps; Asymptotic stability (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:505:y:2018:i:c:p:94-104

DOI: 10.1016/j.physa.2018.03.070

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