Stationary pattern of a diffusive prey-predator model with trophic intersections of three levels

DOI10.1016/J.NONRWA.2012.11.012zbMath1261.35017OpenAlexW2049786834MaRDI QIDQ1940183

Yan Li, Mingxin Wang

Publication date: 6 March 2013

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.11.012

zbMATH Keywords

steady state solutioncross-diffusionhomogeneous Neumann boundary condition

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Positive solutions to PDEs (35B09) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

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Dynamics of a delayed diffusive predator-prey model with hyperbolic mortality ⋮ Dynamics of a diffusive prey-predator system with strong Allee effect growth rate and a protection zone for the prey ⋮ Dynamics of a diffusive Leslie-Gower predator-prey system with ratio-dependent Holling III functional response ⋮ Qualitative analysis of a diffusive three-species model with the Holling-Tanner scheme ⋮ Qualitative analysis for a diffusive predator-prey model with a transmissible disease in the prey population ⋮ Boundedness and global stability of a diffusive prey–predator model with prey-taxis ⋮ Hopf bifurcation and steady-state bifurcation for a Leslie-Gower prey-predator model with strong allee effect in prey ⋮ Stationary patterns for a Leslie–Gower type three species model with diffusion ⋮ Patterns in a freshwater tussock sedge model

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