Bifurcation analysis and dynamic behavior to a predator-prey model with Beddington-DeAngelis functional response and protection zone

DOI10.3934/dcdsb.2020117zbMath1466.35133OpenAlexW3013385049MaRDI QIDQ2026572

Xiao He, Sining Zheng

Publication date: 20 May 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.2020117

zbMATH Keywords

predator-prey modelexistence and multiplicity of solutionsprotection zone problem

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Cites Work

• Unnamed Item
• Protection zone in a modified Lotka-Volterra model
• Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
• A diffusive predator-prey model with a protection zone
• Effect of a protection zone in the diffusive Leslie predator-prey model
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• A mechanistic derivation of the DeAngelis-Beddington functional response
• On the indices of fixed points of mappings in cones and applications
• Effect of cross-diffusion on the stationary problem of a diffusive competition model with a protection zone
• Persistence and bifurcation of degenerate solutions
• Protection zone in a diffusive predator-prey model with Beddington-DeAngelis functional response
• Effect of cross-diffusion on the stationary problem of a prey-predator model with a protection zone
• A diffusive competition model with a protection zone
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Multiplicity and uniqueness of positive solutions for a predator-prey model with B-D functional response
• Allee effect and bistability in a spatially heterogeneous predator-prey model
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations

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