Analysis of stochastic Gilpin-Ayala competition system

DOI10.1155/2014/637862zbMath1407.92144OpenAlexW2112187743WikidataQ59068474 ScholiaQ59068474MaRDI QIDQ1718823

Quanxin Zhu, Lei Liu

Publication date: 8 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/637862

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40)

Related Items

Stationary distribution and periodic solution of a stochastic \(n\)-species Gilpin-Ayala competition system with general saturation effect and nonlinear perturbations, Persistence in mean and extinction on stochastic competitive Gilpin-Ayala systems with regime switching, Ergodic stationary distribution and extinction of a n-species Gilpin-Ayala competition system with nonlinear random perturbations, Dynamics of an autonomous Gilpin–Ayala competition model with random perturbation

Cites Work

• Unnamed Item
• Analysis of autonomous Lotka-Volterra competition systems with random perturbation
• On hybrid competitive Lotka-Volterra ecosystems
• Stationary distribution of stochastic population systems
• 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
• Stationary distribution, ergodicity and extinction of a stochastic generalized logistic system
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• On competitive Lotka-Volterra model in random environments
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• A note on nonautonomous logistic equation with random perturbation
• Stochastic differential delay equations of population dynamics
• The ergodic property and positive recurrence of a multi-group Lotka-Volterra mutualistic system with regime switching
• Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
• Global Models of Growth and Competition
• Stochastic Differential Equations with Markovian Switching