Protection zone in a diffusive predator-prey model with Ivlev-type functional response

DOI10.1007/s11766-020-3795-4zbMath1474.35081OpenAlexW3114495826WikidataQ115601955 ScholiaQ115601955MaRDI QIDQ2033495

Yanyan Li

Publication date: 17 June 2021

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-020-3795-4

zbMATH Keywords

bifurcationprotection zoneIvlev-type functional response

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)

Cites Work

• Dynamics in a diffusive predator-prey system with strong Allee effect and Ivlev-type functional response
• Effect of cross-diffusion in the diffusion prey-predator model with a protection zone
• A diffusive predator-prey model with a protection zone
• Effect of a protection zone in the diffusive Leslie predator-prey model
• Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions
• Effect of the protection zone on coexistence of the species for a ratio-dependent predator-prey model
• Persistence and bifurcation of degenerate solutions
• Protection zone in a diffusive predator-prey model with Beddington-DeAngelis functional response
• Bifurcation from simple eigenvalues
• Prey–predator model for optimal harvesting with functional response incorporating prey refuge
• MODELING PREY-PREDATOR TYPE FISHERY WITH RESERVE AREA
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