Stability and Hopf bifurcation of a predator-prey model

DOI10.1186/S13661-019-1242-9OpenAlexW2964034642WikidataQ115519083 ScholiaQ115519083MaRDI QIDQ2108350

Fan Wu, Yujuan Jiao

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1242-9

zbMATH Keywords

stabilityHopf bifurcationpredator-prey modelPoincaré-Andronow Hopf bifurcation theorem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Ecology (92D40)

Related Items (4)

Bifurcation analysis in a diffusive phytoplankton-zooplankton model with harvesting ⋮ The effects of harvesting on the dynamics of a Leslie-Gower model ⋮ Andronov-Hopf and Neimark-Sacker bifurcations in time-delay differential equations and difference equations with applications to models for diseases and animal populations ⋮ Dynamics of a discrete predator-prey model with Holling-II functional response

Cites Work

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• Stability and Hopf bifurcation of a predator-prey model with stage structure and time delay for the prey
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• A ratio-dependent predator-prey model with disease in the prey
• Hopf bifurcation of a predator-prey model with time delay and stage structure for the prey
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Elements of Mathematical Ecology
• Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction–diffusion equations
• Global Stability for a Class of Predator-Prey Systems

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