Global dynamics of a predator-prey system with density-dependent mortality and ratio-dependent functional response

DOI10.3934/dcdsb.2020041zbMath1466.92149OpenAlexW3006382740WikidataQ113201478 ScholiaQ113201478MaRDI QIDQ2033427

Zhikun She, Xin Jiang, Shigui Ruan

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020041

zbMATH Keywords

global dynamicspredator-prey systemratio-dependentBogdanov-Takens bifurcationdensity-dependent mortality

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Attractors of solutions to ordinary differential equations (34D45)

Related Items (7)

Bifurcations in the diffusive Bazykin model ⋮ Takens-Bogdanov bifurcation for a ratio-dependent predation interaction involving prey-competition and predator-age ⋮ Bifurcation analysis of a predator–prey model with Beddington–DeAngelis functional response and predator competition ⋮ The Rosenzweig-MacArthur graphical criterion for a predator-prey model with variable mortality rate ⋮ Multiple bifurcations in a discrete Bazykin predator-prey model with predator intraspecific interactions and ratio-dependent functional response ⋮ Oscillations and pattern formation in a slow-fast prey-predator system ⋮ Hopf bifurcation for a predator-prey model with age structure and ratio-dependent response function incorporating a prey refuge

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