Dynamics of stochastic hybrid Gilpin-Ayala system with impulsive perturbations

DOI10.22436/jnsa.010.02.10zbMath1412.34185OpenAlexW2587543453MaRDI QIDQ4631863

Rui-Hua Wu

Publication date: 23 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.02.10

zbMATH Keywords

extinctionMarkov chainstochastic permanenceimpulsive perturbationsGilpin-Ayala model

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

Dynamics of a stochastic Gilpin-Ayala population model with Markovian switching and impulsive perturbations ⋮ Analysis of a stochastic hybrid population model with impulsive perturbations and Allee effect

Cites Work

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• Analysis of a stochastic tri-trophic food-chain model with harvesting
• Dynamics of a two-prey one-predator system in random environments
• Asymptotic properties and simulations of a stochastic logistic model under regime switching
• On a stochastic logistic equation with impulsive perturbations
• Stability analysis of nonlinear stochastic differential delay systems under impulsive control
• Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks
• Dynamical behavior of Lotka-Volterra competition systems: non-autonomous bistable case and the effect of telegraph noise
• Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects
• Persistence and extinction in stochastic non-autonomous logistic systems
• Persistence in stochastic food web models
• Population dynamical behavior of Lotka-Volterra system under regime switching
• Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
• Some new results on the permanence and extinction of nonautonomous Gilpin-Ayala type competition model with delays
• Stabilization and destabilization of hybrid systems of stochastic differential equations
• Permanence and global stability for nonautonomous \(N\)-species Lotka-Volterra competitive system with impulses
• Asymptotic stability of nonlinear impulsive stochastic differential equations
• Dynamic behaviors of the impulsive periodic multi-species predator-prey system
• Continuous-time Markov chains. An applications-oriented approach
• Global periodic solutions of a generalized \(n\)-species Gilpin-Ayala competition model
• Dynamics of a stochastic one-prey two-predator model with Lévy jumps
• A note on nonautonomous logistic equation with random perturbation
• Asymptotic properties and simulations of a stochastic logistic model under regime switching II
• Dynamics and simulations of a logistic model with impulsive perturbations in a random environment
• Asymptotic behavior of a stochastic nonautonomous Lotka-Volterra competitive system with impulsive perturbations
• Asymptotic properties of a stochastic Lotka-Volterra cooperative system with impulsive perturbations
• Stochastic population dynamics under regime switching
• Asymptotic stability of competitive systems with delays and impulsive perturbations
• Asymptotic behaviour of the stochastic Gilpin-Ayala competition models
• Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
• Stability for impulsive delay differential equations
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Stability for multispecies population models in random environments
• Stochastic Differential Equations with Markovian Switching