Nonlinear modelling of the interaction between phytoplankton and zooplankton with the impulsive feedback control

DOI10.1016/j.chaos.2016.04.011zbMath1355.92103OpenAlexW2341054432MaRDI QIDQ508260

Yong-Cai Geng, Sumit K. Garg

Publication date: 10 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2016.04.011

zbMATH Keywords

order-1 periodic solutionsemi-continuous dynamic systemorder-2 periodic solutionplankton

Mathematics Subject Classification ID

Feedback control (93B52) Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25)

Related Items

A diffusive toxin producing phytoplankton model with maturation delay and three-dimensional patch, Dynamics of a stochastic phytoplankton–zooplankton system with defensive and offensive effects, BIFURCATIONS IN A DELAYED DIFFERENTIAL-ALGEBRAIC PLANKTON ECONOMIC SYSTEM, Pattern Dynamics of a Diffusive Toxin Producing Phytoplankton–Zooplankton Model with Three-Dimensional Patch, Dynamic behavior analysis of phytoplankton-zooplankton system with cell size and time delay, Dynamics of a stochastic non-autonomous phytoplankton-zooplankton system involving toxin-producing phytoplankton and impulsive perturbations

Cites Work

• Homoclinic bifurcation of prey-predator model with impulsive state feedback control
• Hopf bifurcation and bistability of a nutrient-phytoplankton-zooplankton model
• Periodic solution of a chemostat model with variable yield and impulsive state feedback control
• The geometrical analysis of a predator-prey model with two state impulses
• State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences
• Chaos in a seasonally and periodically forced phytoplankton-zooplankton system
• On the Lambert \(w\) function
• Dynamic analysis of a phytoplankton-fish model with biological and artificial control
• Nonlinear modelling of ethanol inhibition with the state feedback control
• Dynamical analysis of a delay model of phytoplankton-zooplankton interaction
• Phytoplankton-zooplankton dynamics in periodic environments taking into account eutrophication
• Modeling migratory grazing of zooplankton on toxic and non-toxic phytoplankton
• Orbital stability of periodic solutions of autonomous systems with impulse effect