Global dynamics of a stochastic ratio-dependent predator–prey system

DOI10.1142/S1793557117500024zbMath1366.37151OpenAlexW2314233104WikidataQ115522610 ScholiaQ115522610MaRDI QIDQ2979761

Ahmadjan Muhammadhaji, Xiaolin Fan, Zhi-Dong Teng

Publication date: 26 April 2017

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557117500024

zbMATH Keywords

global attractivityItô's formulamoment boundednessstochastic ratio-dependent predator-prey system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stochastic systems in control theory (general) (93E03) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Qualitative analysis of a stochastic ratio-dependent predator-prey system
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment
• Persistence and extinction of a stochastic delay logistic equation under regime switching
• Environmental Brownian noise suppresses explosions in population dynamics.
• Persistence and global stability for \(n\)-species ratio-dependent predator-prey system with time delays.
• On a two species stochastic Lotka-Volterra competition system
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Global analyses in some delayed ratio-dependent predator-prey systems
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• Periodicity in a delayed ratio-dependent predator-prey system
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item