Hopf bifurcation analysis in a predator-prey model with time delay and food subsidies

DOI10.1186/s13662-019-2050-3zbMath1458.37097OpenAlexW2930192835WikidataQ115518665 ScholiaQ115518665MaRDI QIDQ1733596

Yuxiao Guo, Ben Niu, Nannan Ji

Publication date: 21 March 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-019-2050-3

zbMATH Keywords

stabilitydelaypredator-preyglobal Hopf bifurcationsubsidies

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40) Bifurcation theory of functional-differential equations (34K18)

Related Items (4)

A delayed synthetic drug transmission model with two stages of addiction and Holling type-II functional response ⋮ Bifurcation analysis of an e-SEIARS model with multiple delays for point-to-group worm propagation ⋮ Stability and bifurcation analysis in a delay-induced predator-prey model with Michaelis-Menten type predator harvesting ⋮ Dynamical aspects of a delayed epidemic model with subdivision of susceptible population and control strategies

Uses Software

• DDE-BIFTOOL

Cites Work

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• Introduction to functional differential equations
• On Bendixson's criterion
• Predator-prey models with delay and prey harvesting
• Stability of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes and time-delay in two dimensions
• Hopf bifurcation analysis in a predator-prey model with two time delays and stage structure for the prey
• Global existence of periodic solutions in a tri-neuron network model with delays
• Effect of resource subsidies on predator–prey population dynamics: a mathematical model
• Symmetric functional differential equations and neural networks with memory
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response

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