Analysis of a general stochastic non-autonomous logistic model with delays and Lévy jumps

DOI10.1016/j.jmaa.2015.07.030zbMath1326.92060OpenAlexW1253696425MaRDI QIDQ497734

Qingmei Chen, Qun Liu

Publication date: 25 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.07.030

zbMATH Keywords

persistenceextinctionLyapunov functionsdelaysLévy noise

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25)

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Cites Work

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• Analysis on stochastic delay Lotka-Volterra systems driven by Lévy noise
• Analysis of a stochastic delay predator-prey system with jumps in a polluted environment
• Stochastic population dynamics driven by Lévy noise
• Complex dynamics in a prey predator system with multiple delays
• On a stochastic logistic equation with impulsive perturbations
• Persistence and extinction in general non-autonomous logistic model with delays and stochastic perturbation
• Competitive Lotka-Volterra population dynamics with jumps
• Delay differential equations: with applications in population dynamics
• Global stability for infinite delay Lotka--Volterra type systems
• Persistence in stochastic food web models
• Global asymptotic stability in Volterra's population systems
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Persistence in population models with demographic fluctuations
• The threshold of survival for system of two species in polluted environment
• The Euler scheme for Lévy driven stochastic differential equations
• Almost sure exponential stability of neutral stochastic differential difference equations
• Persistence, attractivity, and delay in facultative mutualism
• A note on nonautonomous logistic equation with random perturbation
• Theory of stochastic differential equations with jumps and applications.
• Analysis of a stochastic autonomous mutualism model
• Population dynamical behavior of Lotka-Volterra cooperative systems with random perturbations
• Stochastic Lotka-Volterra systems with Lévy noise
• Persistence and extinction of a stochastic non-autonomous Gilpin-Ayala system driven by Lévy noise
• Persistence and extinction of a stochastic logistic model with delays and impulsive perturbation
• Ergodicity for functional stochastic differential equations and applications
• Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
• Global attractivity in nonautonomous logistic equations with delay
• Numerical Approximation of Stationary Distributions for Stochastic Partial Differential Equations
• Exponential ergodicity for retarded stochastic differential equations
• Numerical analysis for neutral SPDEs driven by α-stable processes
• Asymptotic Stability of Stochastic Differential Equations Driven by Lévy Noise
• Lévy Processes and Stochastic Calculus
• Stability for multispecies population models in random environments
• A strong law of large numbers for local martingales
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• Large deviations for neutral functional SDEs with jumps