Two kinds of free boundary problems for the diffusive prey-predator model

DOI10.1016/j.nonrwa.2015.01.004zbMath1327.35457OpenAlexW2052290415MaRDI QIDQ892263

Yang Zhang, Mingxin Wang

Publication date: 18 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.01.004

zbMATH Keywords

asymptotic behaviorfree boundary problemsprey-predator modelvanishingspreading

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25) Free boundary problems for PDEs (35R35)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Stefan problem for the Fisher-KPP equation
• The diffusive competition model with a free boundary: invasion of a superior or inferior competitor
• Free boundary problems for a Lotka-Volterra competition system
• Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II
• Spreading and vanishing in nonlinear diffusion problems with free boundaries
• A new proof of the infinite differentiability of the free boundary in the Stefan problem
• A free boundary problem for the predator-prey model with double free boundaries
• Vanishing latent heat limit in a Stefan-like problem arising in biology.
• On a free boundary problem for a two-species weak competition system
• Spreading speed revisited: analysis of a free boundary model
• The diffusive logistic model with a free boundary and seasonal succession
• The diffusive logistic equation with a free boundary and sign-changing coefficient
• A diffusive logistic model with a free boundary in time-periodic environment
• On some free boundary problems of the prey-predator model
• A free boundary problem of a predator-prey model with higher dimension and heterogeneous environment
• Spreading and vanishing behaviors for radially symmetric solutions of free boundary problems for reaction-diffusion equations
• A Free Boundary Problem Arising in a Model of Wound Healing
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• A free boundary problem in ecology
• Sharp Estimate of the Spreading Speed Determined by Nonlinear Free Boundary Problems
• A free boundary problem for a predator–prey model
• A competition-diffusion system approximation to the classical two-phase Stefan problem

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