Bifurcation analysis of a two-species competitive discrete model of plankton allelopathy

DOI10.1186/1687-1847-2014-70zbMath1417.92221OpenAlexW2052537966WikidataQ59324257 ScholiaQ59324257MaRDI QIDQ1720207

Daiyong Wu, Hai Zhang

Publication date: 8 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-70

zbMATH Keywords

competitive systemdiscreteflip bifurcationplankton allelopathy

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Ecology (92D40) Periodic solutions to functional-differential equations (34K13)

Related Items

Almost periodic solution analysis in a two-species competitive model of plankton alleopathy with impulses, Dynamic behaviors of a discrete Lotka-Volterra competition system with infinite delays and single feedback control, Global attractivity and extinction of a discrete competitive system with infinite delays and single feedback control, On the dynamic consistency of a two-species competitive discrete system with toxicity: local and global analysis, Dynamics of a discrete allelopathic phytoplankton model with infinite delays and feedback controls

Cites Work

• Unnamed Item
• Asymptotic behaviors of a delay difference system of plankton allelopathy
• Note on the persistent property of a discrete Lotka-Volterra competitive system with delays and feedback controls
• A two-species competitive system under the influence of toxic substances
• Permanence in a discrete Lotka-Volterra competition model with deviating arguments
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Applications of centre manifold theory
• A delay differential equations model of plankton allelopathy
• Permanence and global stability for nonautonomous discrete model of plankton allelopathy.
• Stable periodic solution of a discrete periodic Lotka-Volterra competition system
• Positive periodic solution of a general discrete non-autonomous difference system of plankton allelopathy with delays
• On the stability in a discrete two-species competition system
• Introduction to Applied Nonlinear Dynamical Systems and Chaos