Effect of cross-diffusion in the diffusion prey-predator model with a protection zone

DOI10.3934/dcds.2017063zbMath1368.35107OpenAlexW2565729349MaRDI QIDQ525531

Shanbing Li, Jian-hua Wu

Publication date: 5 May 2017

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

Full work available at URL: https://doi.org/10.3934/dcds.2017063

zbMATH Keywords

Lyapunov-Schmidt reductioncross-diffusionLotka-Volterra prey-predator model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Boundary value problems for second-order elliptic systems (35J57)

Related Items (10)

Effect of cross-diffusion on the stationary problem of a Leslie prey-predator model with a protection zone ⋮ A diffusion-advection predator-prey model with a protection zone ⋮ Uniqueness and stability of positive solutions for a diffusive predator-prey model in heterogeneous environment ⋮ Stationary patterns of a prey-predator system with a protection zone and cross-diffusion of fractional type ⋮ The role of protection zone on species spreading governed by a reaction-diffusion model with strong Allee effect ⋮ Effects of degeneracy and response function in a diffusion predator–prey model ⋮ Protection zone in a diffusive predator-prey model with Ivlev-type functional response ⋮ Uniqueness and multiplicity of positive solutions for a diffusive predator–prey model in the heterogeneous environment ⋮ Effects of dispersal for a predator-prey model in a heterogeneous environment ⋮ The effects of diffusion on the dynamics of a Lotka-Volterra predator-prey model with a protection zone

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