Existence, uniqueness and ergodicity of positive solution of mutualism system with stochastic perturbation

DOI10.1155/2010/684926zbMath1204.34065OpenAlexW1970199779WikidataQ58653266 ScholiaQ58653266MaRDI QIDQ1958878

Chunyan Ji, Hong Liu, Daqing Jiang, Qing-shan Yang

Publication date: 30 September 2010

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

Full work available at URL: https://eudml.org/doc/226201

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (12)

Asymptotic behavior and numerical simulations of a Lotka-Volterra mutualism system with white noises ⋮ Periodic solution for stochastic non-autonomous multispecies Lotka-Volterra mutualism type ecosystem ⋮ Existence, stationary distribution, and extinction of predator-prey system of prey dispersal with stochastic perturbation ⋮ Persistence and nonpersistence of a nonautonomous stochastic mutualism system ⋮ Proportional stochastic generalized Lotka-Volterra model with an application to learning microbial community structures ⋮ Analysis of a stochastic cooperation-competition model ⋮ Stochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation ⋮ Dynamical behavior of the stochastic delay mutualism system ⋮ Permanence and asymptotical behavior of stochastic prey-predator system with Markovian switching ⋮ Asymptotic properties and simulations of a stochastic single-species dispersal model under regime switching ⋮ Persistence and extinction for stochastic delay differential model of prey predator system with hunting cooperation in predators ⋮ Stochastic persistence and stability analysis of a modified Holling-Tanner model

Cites Work

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• On the structure and stability of mutualistic systems: Analysis of predator-prey and competition models as modified by the action of a slow- growing mutualist
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• Population dynamical behavior of Lotka-Volterra system under regime switching
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Persistence, attractivity, and delay in facultative mutualism
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Numerical simulation of stochastic ordinary differential equations in biomathematical modelling.
• Environmental Brownian noise suppresses explosions in population dynamics.
• A note on nonautonomous logistic equation with random perturbation
• A nonlinear two-species oscillatory system: bifurcation and stability analysis
• Long term behavior of solutions of the Lotka-Volterra system under small random perturbations.
• Existence of positive periodic solution of mutualism system with several delays
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• The Influence of External Real and White Noise on the L<scp>OTKA</scp>‐V<scp>OLTERRA</scp> Model
• Modelling Biological Populations in Space and Time
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• The persistence of synchronization under environmental noise
• Local to global theorems in the theory of Hurewicz fibrations

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