Spreading and vanishing in the diffusive prey-predator model with a free boundary

DOI10.1016/j.cnsns.2014.11.016zbMath1354.92074DBLPjournals/cnsns/Wang15aOpenAlexW2073904392WikidataQ56434319 ScholiaQ56434319MaRDI QIDQ727092

Mingxin Wang

Publication date: 6 December 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.11.016

zbMATH Keywords

free boundaryprey-predator modellong time behaviorspreading and vanishing

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (43)

A free boundary problem of a diffusive SIRS model with nonlinear incidence ⋮ Spreading and vanishing in a diffusive prey-predator model with variable intrinsic growth rate and free boundary ⋮ A diffusive stage-structured model with a free boundary ⋮ A free boundary problem for an attraction-repulsion chemotaxis system ⋮ A prey-predator model with a free boundary and sign-changing coefficient in time-periodic environment ⋮ Asymptotic behavior of solutions to a nonlinear Stefan problem with different moving parameters ⋮ A reaction-diffusion-advection equation with a free boundary and sign-changing coefficient ⋮ A free boundary problem with a Stefan condition for a ratio-dependent predator-prey model ⋮ Dynamics for the diffusive mutualist model with advection and different free boundaries ⋮ A free boundary problem for a predator-prey model with nonlinear prey-taxis. ⋮ A free boundary problem for a ratio-dependent diffusion predator-prey system ⋮ Dynamics for the diffusive Leslie-Gower model with double free boundaries ⋮ A reaction-diffusion-advection equation with mixed and free boundary conditions ⋮ Free boundary problem of a reaction-diffusion equation with nonlinear convection term ⋮ A free boundary problem of the diffusive competition model with different habitats ⋮ A free boundary problem for the predator-prey model with double free boundaries ⋮ A free boundary problem for a predator-prey system ⋮ Dynamics for a diffusive prey-predator model with different free boundaries ⋮ Free boundary problems with local-nonlocal diffusions and different free boundaries. I: Global solution ⋮ A free boundary problem for a ratio-dependent predator-prey system ⋮ A semilinear parabolic system with a free boundary ⋮ Positive Solutions of a Predator–Prey Model with Additive Allee Effect ⋮ Asymptotic spreading of a diffusive competition model with different free boundaries ⋮ A time-periodic diffusive prey-predator model with sign-changing growth rates and a free boundary ⋮ Dynamics for a nonlocal reaction-diffusion population model with a free boundary ⋮ A weak competition system with advection and free boundaries ⋮ The time-periodic diffusive competition models with a free boundary and sign-changing growth rates ⋮ A nonlocal reaction-diffusion prey-predator model with free boundary ⋮ Unnamed Item ⋮ Global existence of classical solutions for a class of diffusive ecological models with two free boundaries and cross-diffusion ⋮ A free boundary problem of a predator-prey model with a nonlocal reaction term ⋮ Global existence of classical solutions to a cross-diffusion predator-prey system with a free boundary ⋮ Dynamics for a nonlocal competition system with a free boundary ⋮ Traveling waves for a periodic Lotka–Volterra predator–prey system ⋮ The diffusive farmers and hunter-gatherers model with a free boundary in a heterogeneous environment ⋮ Asymptotic spreading for a time-periodic predator-prey system ⋮ Two species nonlocal diffusion systems with free boundaries ⋮ Free boundary problems with nonlocal and local diffusions. I: Global solution ⋮ Free boundary problems for the local-nonlocal diffusive model with different moving parameters ⋮ On a Lotka-Volterra weak competition system with Robin and free boundary conditions ⋮ On a uniqueness of solution for a reaction-diffusion type system with a free boundary ⋮ Biological invasion in a predator-prey model with a free boundary ⋮ The reaction-diffusion system for an SIR epidemic model with a free boundary

Cites Work

• 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
• A new proof of the infinite differentiability of the free boundary in the Stefan problem
• 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
• Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model
• 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
• A Free Boundary Problem Arising in a Model of Wound Healing
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• Numerical Approximation of a Free Boundary Problem for a Predator-Prey Model
• 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

This page was built for publication: Spreading and vanishing in the diffusive prey-predator model with a free boundary