Permanence and global attractivity of a discrete pollination mutualism in plant-pollinator system with feedback controls

DOI10.1186/s13662-016-0889-0zbMath1419.34129OpenAlexW2495775571WikidataQ59466703 ScholiaQ59466703MaRDI QIDQ1627977

Rongyu Han, Xiangdong Xie, Fengde Chen

Publication date: 3 December 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-016-0889-0

zbMATH Keywords

global attractivityextinctionpermanencefeedback controlsplant-pollinator system

Mathematics Subject Classification ID

Feedback control (93B52) Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (8)

Extinction for a discrete competition system with feedback controls ⋮ Permanence for the discrete competition model with infinite deviating arguments ⋮ Stability analysis of a single species logistic model with Allee effect and feedback control ⋮ Allee effect increasing the final density of the species subject to the Allee effect in a Lotka-Volterra commensal symbiosis model ⋮ Dynamic behaviors of a Lotka-Volterra commensal symbiosis model with density dependent birth rate ⋮ The influence of commensalism on a Lotka-Volterra commensal symbiosis model with Michaelis-Menten type harvesting ⋮ Stability analysis of a discrete competitive system with nonlinear interinhibition terms ⋮ New model of may cooperative system with strong and weak cooperative partners

Cites Work

• Dynamic behavior of a Beddington-DeAngelis type stage structured predator-prey model
• Positive equilibrium and its stability of the Beddington-DeAngelis type predator-prey dynamical system
• Permanence, extinction and periodic solution of the predator-prey system with Beddington-DeAngelis functional response and stage structure for prey
• Stability of the boundary solution of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response
• Permanence of a discrete predator-prey system with Beddington-DeAngelis functional response and feedback controls
• Permanence for a discrete model with feedback control and delay
• Positive periodic solutions of a class of delay differential system with feedback control.
• Persistence of pollination mutualisms in plant-pollinator-robber systems
• Extinction in a discrete Lotka–Volterra competitive system with the effect of toxic substances and feedback controls
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