Dynamics of a switching diffusion modified Leslie-Gower predator-prey system with Beddington-DeAngelis functional response

DOI10.1007/s11071-016-2728-yzbMath1355.37101OpenAlexW2308552460WikidataQ115603213 ScholiaQ115603213MaRDI QIDQ347295

Adel Settati, Aadil Lahrouz, Partha Sarathi Mandal

Publication date: 30 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2728-y

zbMATH Keywords

ergodicityextinctionMarkov chainmoment boundednesspersistence in meanstochastic prey-predator model

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Population dynamics (general) (92D25)

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Cites Work

• Unnamed Item
• Unnamed Item
• On hybrid competitive Lotka-Volterra ecosystems
• Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
• A note on a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• Existence and global attractivity of positive periodic solutions for a predator-prey model with modified Leslie-Gower Holling-type II schemes
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• Population dynamical behavior of Lotka-Volterra system under regime switching
• Stochastic population dynamics under regime switching. II
• On competitive Lotka-Volterra model in random environments
• Continuous-time Markov chains. An applications-oriented approach
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Parametric analysis of the ratio-dependent predator-prey model
• Boundedness and global stability for a predator-prey system with the Beddington-DeAngelis functional response
• Stochastic population dynamics under regime switching
• Stability of regime-switching diffusions
• Asymptotic Properties of Hybrid Diffusion Systems
• A strong law of large numbers for local martingales
• Global Stability for a Class of Predator-Prey Systems
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system