Permanence and extinction of a stochastic delay logistic model with jumps

DOI10.1155/2014/495275zbMath1407.60081OpenAlexW2064210011WikidataQ59067858 ScholiaQ59067858MaRDI QIDQ1718544

Chun Lu, Xiao-Hua Ding

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/495275

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic functional-differential equations (34K50)

Related Items

The threshold of stochastic Gilpin-Ayala model subject to general Lévy jumps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of a Leslie-Gower Holling-type II predator-prey system with Lévy jumps
• Stochastic population dynamics driven by Lévy noise
• Persistence and extinction in stochastic non-autonomous logistic systems
• Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
• Stability of stochastic delay hybrid systems with jumps
• Competitive Lotka-Volterra population dynamics with jumps
• Comparison theorem for stochastic differential delay equations with jumps
• Global stability for infinite delay Lotka--Volterra type systems
• Applied stochastic control of jump diffusions.
• The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay
• Itô's stochastic calculus: its surprising power for applications
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• The Euler scheme for Lévy driven stochastic differential equations
• Persistence, attractivity, and delay in facultative mutualism
• 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
• Lévy Processes and Stochastic Calculus
• A strong law of large numbers for local martingales
• Periodic Solutions of Single-Species Models with Periodic Delay
• Stochastic differential delay equations with jumps, under nonlinear growth condition
• Existence, uniqueness, stochastic persistence and global stability of positive solutions of the logistic equation with random perturbation
• Stochastic Differential Equations with Markovian Switching