Periodic solution for stochastic non-autonomous multispecies Lotka-Volterra mutualism type ecosystem

DOI10.1016/j.amc.2015.04.042zbMath1410.92154OpenAlexW298369912WikidataQ111265875 ScholiaQ111265875MaRDI QIDQ1663403

Qixing Han, Daqing Jiang

Publication date: 21 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.042

zbMATH Keywords

periodic solutionextinctionglobally attractivestochastic mutualism model

Mathematics Subject Classification ID

Ecology (92D40)

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Cites Work

• Unnamed Item
• Unnamed Item
• Stationary distribution of stochastic population systems under regime switching
• Persistence and non-persistence of a mutualism system with stochastic perturbation
• Population dynamical behavior of Lotka-Volterra system under regime switching
• Existence of periodic solutions for a periodic mutualism model on time scales
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Permanence for nonautonomous Lotka-Volterra cooperative systems with delays
• On the asymptotic behavior of some population models
• Global stability of almost periodic solution of multispecies mutualism system with time delays and impulsive effects
• Environmental Brownian noise suppresses explosions in population dynamics.
• Nonautonomous Lotka-Volterra systems. II
• Long term behavior of solutions of the Lotka-Volterra system under small random perturbations.
• Nonautonomous Lotka-Volterra systems. I
• On the asymptotic behavior of some population models. II
• Population dynamical behavior of Lotka-Volterra cooperative systems with random perturbations
• Existence, uniqueness and ergodicity of positive solution of mutualism system with stochastic perturbation
• The ergodic property and positive recurrence of a multi-group Lotka-Volterra mutualistic system with regime switching
• Existence of positive periodic solution of mutualism system with several delays
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Stability and transient behavior of composite nonlinear systems
• Stochastic Differential Equations with Markovian Switching
• DELAY POPULATION DYNAMICS AND ENVIRONMENTAL NOISE