Dynamic complexity of an Ivlev-type prey-predator system with impulsive state feedback control

DOI10.1155/2012/534276zbMath1256.34032OpenAlexW2062414047WikidataQ58906098 ScholiaQ58906098MaRDI QIDQ1760734

Lan-Sun Chen, Chuanjun Dai, Min Zhao

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/534276

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (10)

Dynamics of a predator-prey model with strong Allee effect and nonconstant mortality rate ⋮ Nonlinear dynamics of a marine phytoplankton-zooplankton system ⋮ Dynamics analysis of a two-species competitive model with state-dependent impulsive effects ⋮ Spatiotemporal complexity of the nutrient-phytoplankton model ⋮ Dynamic complexity in a prey-predator model with state-dependent impulsive control strategy ⋮ Dynamical analysis of a nitrogen-phosphorus-phytoplankton model ⋮ An impulsive modelling framework of fire occurrence in a size-structured model of tree-grass interactions for savanna ecosystems ⋮ Bifurcations and periodic solutions for an algae-fish semicontinuous system ⋮ Dynamic analysis of a phytoplankton-fish model with biological and artificial control ⋮ Stability and Hopf bifurcation analysis of a predator-prey model with time delayed incomplete trophic transfer

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