On some free boundary problems of the prey-predator model
From MaRDI portal
Publication:2441979
DOI10.1016/j.jde.2014.02.013zbMath1317.35110arXiv1301.2063OpenAlexW2962772291MaRDI QIDQ2441979
Publication date: 31 March 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.2063
Asymptotic behavior of solutions to PDEs (35B40) Free boundary problems for PDEs (35R35) General biology and biomathematics (92B05) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (only showing first 100 items - show all)
A free boundary problem of some modified Leslie-gower predator-prey model with nonlocal diffusion term ⋮ A free boundary problem of a diffusive SIRS model with nonlinear incidence ⋮ Spreading and vanishing in a West Nile virus model with expanding fronts ⋮ Note on a two-species competition-diffusion model with two free boundaries ⋮ Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment ⋮ 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 ⋮ The dynamics of partially degenerate nonlocal diffusion systems with free boundaries ⋮ A reaction-diffusion-advection equation with a free boundary and sign-changing coefficient ⋮ Global dynamics and asymptotic spreading speeds for a partially degenerate epidemic model with time delay and free boundaries ⋮ Dynamical behaviour of a generalist predator-prey model with free boundary ⋮ A free boundary problem with a Stefan condition for a ratio-dependent predator-prey model ⋮ Spreading-vanishing dichotomy in information diffusion in online social networks with intervention ⋮ Dynamics for the diffusive mutualist model with advection and different free boundaries ⋮ A reaction-diffusion-advection free boundary problem for a two-species competition system ⋮ Dynamics for nonlocal diffusion problems with a free boundary ⋮ A free boundary problem for a predator-prey model with nonlinear prey-taxis. ⋮ SIS reaction-diffusion model with risk-induced dispersal under free boundary ⋮ On a free boundary problem for a reaction-diffusion-advection logistic model in heterogeneous environment ⋮ Dynamics of a Lotka-Volterra weak competition model with time delays and free boundaries ⋮ Dynamics for an SIR epidemic model with nonlocal diffusion and free boundaries ⋮ A free boundary problem for a ratio-dependent diffusion predator-prey system ⋮ Dynamics of an epidemic model with advection and free boundaries ⋮ A nonlocal SIR epidemic problem with double free boundaries ⋮ 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 ⋮ The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries ⋮ A free boundary problem of the diffusive competition model with different habitats ⋮ The formation of spreading front: the singular limit of three-component reaction-diffusion models ⋮ On an advection-reaction-diffusion competition system with double free boundaries modeling invasion and competition of \textit{Aedes albopictus} and \textit{Aedes aegypti} mosquitoes ⋮ A free boundary problem for a prey-predator model with degenerate diffusion and predator-stage structure ⋮ The diffusive logistic equation on periodically evolving domains ⋮ The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries ⋮ A free boundary problem of the cancer invasion ⋮ A free boundary problem for the predator-prey model with double free boundaries ⋮ A free boundary problem for the diffusive intraguild predation model with intraspecific competition ⋮ The dynamics of nonlocal diffusion systems with different free boundaries ⋮ Two kinds of free boundary problems for the diffusive prey-predator model ⋮ Dynamics for a diffusive prey-predator model with different free boundaries ⋮ The selection for dispersal: a diffusive competition model with a free boundary ⋮ A diffusive logistic problem with a free boundary in time-periodic environment: favorable habitat or unfavorable habitat ⋮ Spreading fronts in a partially degenerate integro-differential reaction-diffusion system ⋮ A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment ⋮ A semilinear parabolic system with a free boundary ⋮ The longtime behavior of the model with nonlocal diffusion and free boundaries in online social networks ⋮ Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus ⋮ Propagation, diffusion and free boundaries ⋮ Asymptotic spreading of a diffusive competition model with different free boundaries ⋮ Invasion by an inferior or superior competitor: a diffusive competition model with a free boundary in a heterogeneous environment ⋮ A free boundary problem describing S-K-T competition ecological model with cross-diffusion ⋮ A time-periodic diffusive prey-predator model with sign-changing growth rates and a free boundary ⋮ The diffusive competition model with a free boundary: invasion of a superior or inferior competitor ⋮ Free boundary problems for a Lotka-Volterra competition system ⋮ A free boundary problem of a predator-prey model with advection in heterogeneous environment ⋮ Dynamics for a nonlocal reaction-diffusion population model with a free boundary ⋮ A viral propagation model with a nonlinear infection rate and free boundaries ⋮ The diffusive competition problem with a free boundary in heterogeneous time-periodic environment ⋮ Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries ⋮ The existence of solutions for a free boundary problem modeling the spread of ecosystem engineers ⋮ A weak competition system with advection and free boundaries ⋮ Semi-wave and spreading speed for the diffusive competition model with a free boundary ⋮ Spreading with two speeds and mass segregation in a diffusive competition system with free boundaries ⋮ The time-periodic diffusive competition models with a free boundary and sign-changing growth rates ⋮ Pattern formations for a strong interacting free boundary problem ⋮ Dynamics of a nonlocal SIS epidemic model with free boundary ⋮ A two-species weak competition system of reaction-diffusion-advection with double free boundaries ⋮ The diffusive logistic equation with a free boundary and sign-changing coefficient ⋮ A nonlocal reaction-diffusion prey-predator model with free boundary ⋮ 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 ⋮ Spreading and vanishing in the diffusive prey-predator model with a free boundary ⋮ Dynamics of a nonlocal diffusive logistic model with free boundaries in time periodic environment ⋮ Spreading speed of a degenerate and cooperative epidemic model with free boundaries ⋮ Systems with nonlocal vs. local diffusions and free boundaries ⋮ The diffusive farmers and hunter-gatherers model with a free boundary in a heterogeneous environment ⋮ A class of invasion models in ecology with a free boundary and with cross-diffusion and self-diffusion ⋮ The spreading fronts of an infective environment in a man-environment-man epidemic model ⋮ Dynamical analysis and optimal harvesting strategy for a stochastic delayed predator-prey competitive system with Lévy jumps ⋮ The dynamics of a Lotka-Volterra competition model with nonlocal diffusion and free boundaries ⋮ Asymptotic spreading for a time-periodic predator-prey system ⋮ Different spreading speeds in a weak competition model with two free boundaries ⋮ A reaction-diffusion-advection two-species competition system with a free boundary in heterogeneous environment ⋮ The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries ⋮ Analysis and behavior control of a modified singular prey-predator model ⋮ Non-uniform dispersal of logistic population models with free boundaries in a spatially heterogeneous environment ⋮ Two species nonlocal diffusion systems with free boundaries ⋮ Free boundary problems for the local-nonlocal diffusive model with different moving parameters ⋮ An SIR epidemic model with nonlocal diffusion, nonlocal infection and free boundaries ⋮ A free boundary problem for some modified predator-prey model in a higher dimensional environment. ⋮ On a Lotka-Volterra weak competition system with Robin and free boundary conditions ⋮ The minimal habitat size for spreading in a weak competition system with two free boundaries ⋮ 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 spreading frontiers in partially degenerate reaction-diffusion systems ⋮ The reaction-diffusion system for an SIR epidemic model with a free boundary ⋮ The spreading fronts in a mutualistic model with advection
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Stefan problem for the Fisher-KPP equation
- Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II
- Spreading speeds of a Lotka-Volterra predator-prey system: The role of the predator
- Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models
- Free boundary problems for some reaction-diffusion equations
- Stability analysis for free boundary problems in ecology
- 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
- Asymptotic spreading in a Lotka-Volterra predator-prey system
- A diffusive logistic model with a free boundary in time-periodic environment
- 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
- Erratum: Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
- Boundary blow-up solutions for logistic-type porous media equations with nonregular source
- Asymptotic behavior of the solutions of the dead-core problem
- 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: On some free boundary problems of the prey-predator model
