Modeling and analysis of inhibitory effect in plankton-fish model: application to the hypertrophic Swarzedzkie Lake in Western Poland

DOI10.1016/j.nonrwa.2018.09.026zbMath1408.92038OpenAlexW2898511090WikidataQ129080226 ScholiaQ129080226MaRDI QIDQ1729240

Xianqiang Yang

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.2018.09.026

zbMATH Keywords

chaotic dynamicsTuring instabilityoptimal harvesting policyinhibitory effecttoxic phytoplankton

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Ecology (92D40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (13)

Analysis of a plankton-fish model with external toxicity and nonlinear harvesting ⋮ Dynamics of a Toxin Producing Plankton-Fish Model with Three-Dimensional Patch and Time Delay ⋮ Prey-predator-scavenger model with Monod-Haldane type functional response ⋮ Mathematical study about a predator-prey model with anti-predator behavior ⋮ Dynamics comparison between non-spatial and spatial systems of the plankton-fish interaction model ⋮ Dynamics of Leslie-Gower model with double Allee effect on prey and mutual interference among predators ⋮ Study of a Leslie-Gower predator-prey model with prey defense and mutual interference of predators ⋮ On a cannibalistic predator-prey model with prey defense and diffusion ⋮ Dynamics and patterns of species abundance in ocean: a mathematical modeling study ⋮ Dynamical complexities and pattern formation in an eco-epidemiological model with prey infection and harvesting ⋮ Dynamical analysis of a stochastic toxin-producing phytoplankton-fish system with harvesting ⋮ Stability and bifurcation analysis of the Bazykin's predator-prey ecosystem with Holling type II functional response ⋮ Study of stability and bifurcation of three species food chain model with non-monotone functional response

Cites Work

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• Ecological chaos and the choice of optimal harvesting policy
• Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior
• Mathematical modelling of the seasonal variability of plankton in a shallow lagoon
• Predator-prey systems with group defence: The paradox of enrichment revisited
• Criterion of Hopf bifurcations without using eigenvalues
• Modelling the interaction of two biological species in a polluted environment
• Complex behavior of prey-predator system exhibiting group defense: A mathematical modeling study
• Optimal harvesting and stability for a prey-predator model
• Spatiotemporal pattern formation and selection induced by nonlinear cross-diffusion in a toxic-phytoplankton-zooplankton model with Allee effect
• Restoration and recovery of damaged eco-epidemiological systems: application to the Salton Sea, California, USA
• Spatiotemporal Complexity of Plankton and Fish Dynamics

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