Analysis of a non-autonomous mutualism model driven by Levy jumps

DOI10.3934/dcdsb.2016.21.1189zbMath1356.60109arXiv1507.06777OpenAlexW2964211780WikidataQ111262617 ScholiaQ111262617MaRDI QIDQ316866

Bingjun Wang, Mei Li, Hong-Jun Gao

Publication date: 30 September 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06777

zbMATH Keywords

stochastic differential equationspersistenceextinctionItô's formulaLévy noisestochastic permanencemutualism model

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

Stochastic mutualism model under regime switching with Lévy jumps ⋮ Unnamed Item ⋮ Stability in the mean of a stochastic three species food chain model with general Lévy jumps ⋮ Stochastic two-species mutualism model with jumps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic population dynamics driven by Lévy noise
• Stochastic Lotka-Volterra models with multiple delays
• Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
• Competitive Lotka-Volterra population dynamics with jumps
• Persistence and non-persistence of a mutualism system with stochastic perturbation
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
• Dynamics of a stochastic Lotka-Volterra model perturbed by white noise
• Permanence for an integrodifferential model of mutualism
• Permanence of a delayed discrete mutualism model with feedback controls
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Permanence and the dynamics of biological systems
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• 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
• Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
• SURVIVAL ANALYSIS OF A STOCHASTIC COOPERATION SYSTEM IN A POLLUTED ENVIRONMENT
• Analysis of a mutualism model with stochastic perturbations
• Lévy Processes and Stochastic Calculus
• A strong law of large numbers for local martingales
• Mathematical Models in Biology
• Permanence and global stability for cooperative Lotka-Volterra diffusion systems
• Simple mathematical models with very complicated dynamics

This page was built for publication: Analysis of a non-autonomous mutualism model driven by Levy jumps