PERIODICITY IN AN STAGE-STRUCTURED THREE-SPECIES PREDATOR–PREY SYSTEM WITH BEDDINGTON–DEANGELIS AND HOLLINF IV FUNCTIONAL RESPONSE

DOI10.1142/S1793557112500313zbMath1262.34054OpenAlexW2099353114WikidataQ114614447 ScholiaQ114614447MaRDI QIDQ2920396

Chang-Jin Xu, Maoxin Liao

Publication date: 16 October 2012

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557112500313

zbMATH Keywords

predator-preyperiodic solutiontopological degreeBeddington-DeAngelis functional responsestage-structureHoling IV functional response

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Unnamed Item
• Periodic solutions for general nonlinear state-dependent delay logistic equations
• Positive periodic solution for a semi-ratio-dependent predator-prey system with diffusion and time delays
• Periodic solutions for a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay
• Existence and stability of periodic solution of a Lotka-Volterra predator-prey model with state dependent impulsive effects
• Dynamic of a non-autonomous predator-prey system with infinite delay and diffusion
• Periodic solutions in non autonomous predator prey system with delays
• On the permanence in non-autonomous Lotka-Volterra competitive system with pure-delays and feedback controls
• Permanence of periodic predator-prey system with two predators and stage structure for prey
• Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response.
• A periodic stage-structure model
• Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments
• Existence of positive periodic solutions for a generalized prey-predator model with harvesting term
• Multiple positive periodic solutions for a generalized predator-prey system with exploited terms
• Multiplicity of positive periodic solutions to a generalized delayed predator-prey system with stocking
• Positive periodic solution for non-autonomous competition Lotka--Volterra patch system with time delay

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