Global asymptotic stability and equiasymptotic stability for a time-varying phytoplankton-zooplankton-fish system

DOI10.1016/j.nonrwa.2018.09.015zbMath1408.92041OpenAlexW2896738823MaRDI QIDQ1729216

Wei Zheng, Jitsuro Sugie

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.09.015

zbMATH Keywords

global asymptotic stabilityweakly integrally positiveequiasymptotically stablephytoplankton-zooplankton-fish system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)

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Stability and dynamic transition of a toxin-producing phytoplankton-zooplankton model with additional food ⋮ Global analysis and optimal harvesting for a hybrid stochastic phytoplankton-zooplankton-fish model with distributed delays ⋮ Stability and Hopf bifurcation analysis of a delayed phytoplankton-zooplankton model with Allee effect and linear harvesting

Cites Work

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• A necessary and sufficient condition for global asymptotic stability of time-varying Lotka-Volterra predator-prey systems
• Three-dimensional time-varying nonlinear systems containing a Hamilton system
• Harvesting of a phytoplankton-zooplankton model
• Global attractivity for half-linear differential systems with periodic coefficients
• Stability theory by Liapunov's direct method
• Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling
• Nonlinear dynamics of a marine phytoplankton-zooplankton system
• Complex dynamics in a harvested nutrient-phytoplankton-zooplankton model with seasonality
• Deterministic and stochastic nutrient-phytoplankton-zooplankton models with periodic toxin producing phytoplankton
• Phytoplankton-zooplankton dynamics in periodic environments taking into account eutrophication
• Spatiotemporal Complexity of Plankton and Fish Dynamics
• Asymptotic stability for three-dimensional linear differential systems with time-varying coefficients