Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary

From MaRDI portal
Publication:3078586

DOI10.1137/090771089zbMath1219.35373OpenAlexW2135166551WikidataQ56769626 ScholiaQ56769626MaRDI QIDQ3078586

Yihong Du, Zhigui Lin

Publication date: 28 February 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090771089




Related Items (only showing first 100 items - show all)

A moving boundary problem with space-fractional diffusion logistic population model and density-dependent dispersal rateSpreading and vanishing in a diffusive prey-predator model with variable intrinsic growth rate and free boundaryAsymptotic behavior of solutions to a nonlinear Stefan problem with different moving parametersTraveling wave solution for a diffusive simple epidemic model with a free boundaryThe dynamics of partially degenerate nonlocal diffusion systems with free boundariesA reaction-diffusion-advection equation with a free boundary and sign-changing coefficientDiffusive KPP equations with free boundaries in time almost periodic environments. II: Spreading speeds and semi-wave solutions.Dynamical behaviour of a generalist predator-prey model with free boundaryA front-fixing numerical method for a free boundary nonlinear diffusion logistic population modelRefined estimates for the propagation speed of the transition solution to a free boundary problem with a nonlinearity of combustion typeOn a free boundary problem for a reaction-diffusion-advection logistic model in heterogeneous environmentA free boundary problem for a ratio-dependent diffusion predator-prey systemFundamental results on the reactionâdiffusion equations associated with a PEPA modelA free boundary problem for the Fisher-KPP equation with a given moving boundaryDynamics for the diffusive Leslie-Gower model with double free boundariesA reaction-diffusion-advection equation with mixed and free boundary conditionsFree boundary problem of a reaction-diffusion equation with nonlinear convection termConvergence in time-periodic quasilinear parabolic equations in one space dimensionOn an advection-reaction-diffusion competition system with double free boundaries modeling invasion and competition of \textit{Aedes albopictus} and \textit{Aedes aegypti} mosquitoesBiased movement and the ideal free distribution in some free boundary problemsThe diffusive logistic equation on periodically evolving domainsSpatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundaryA free boundary problem for the predator-prey model with double free boundariesThe transition speed of reaction-diffusion problems with Robin and free boundary conditionsAsymptotic behaviors of radially symmetric solutions to diffusion problems with Robin boundary condition in exterior domainGlobal existence and blow-up of positive solutions of a parabolic problem with free boundariesThe impact of human activity on the risk index and spatial spreading of dengue feverGlobal fast and slow solutions of a localized problem with free boundarySpreading and vanishing in nonlinear diffusion problems with free boundariesAsymptotic behavior of solutions of a reaction-diffusion equation with inhomogeneous Robin boundary condition and free boundary conditionTwo kinds of free boundary problems for the diffusive prey-predator modelAsymptotic behavior of solutions of a degenerate Fisher-KPP equation with free boundariesOn a free boundary problem for a two-species weak competition systemDynamics for a diffusive prey-predator model with different free boundariesThe selection for dispersal: a diffusive competition model with a free boundaryA diffusive logistic problem with a free boundary in time-periodic environment: favorable habitat or unfavorable habitatGlobal existence and blowup of a nonlocal problem in space with free boundarySpreading fronts in a partially degenerate integro-differential reaction-diffusion systemSpreading and vanishing for nonlinear Stefan problems in high space dimensionsStefan problem, traveling fronts, and epidemic spreadA diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environmentBlowup of a free boundary problem with a nonlocal reaction termA semilinear parabolic system with a free boundaryGlobal existence and blowup of a localized problem with free boundaryThe asymptotic analysis of an insect dispersal model on a growing domainGlobal existence and blowup for a parabolic equation with a non-local source and absorptionThe Stefan problem for the Fisher-KPP equationA revisit to the diffusive logistic model with free boundary conditionGlobal existence and blowup analysis to single-species bacillus system with free boundaryFree boundary models for mosquito range movement driven by climate warmingInvasion by an inferior or superior competitor: a diffusive competition model with a free boundary in a heterogeneous environmentOn reaction-diffusion equations derived from a PEPA modelThe spreading frontiers of avian-human influenza described by the free boundaryA time-periodic diffusive prey-predator model with sign-changing growth rates and a free boundaryQuasiconvergence in parabolic equations in one space dimensionThe diffusive competition model with a free boundary: invasion of a superior or inferior competitorFree boundary problems for a Lotka-Volterra competition systemSpreading-vanishing dichotomy in a degenerate logistic model with general logistic nonlinear termA free boundary problem of a predator-prey model with advection in heterogeneous environmentAsymptotic behavior of solutions of a reaction diffusion equation with free boundary conditionsDynamics for a nonlocal reaction-diffusion population model with a free boundaryThe diffusive competition problem with a free boundary in heterogeneous time-periodic environmentSemi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundariesThe existence of solutions for a free boundary problem modeling the spread of ecosystem engineersLong time behavior for solutions of the diffusive logistic equation with advection and free boundaryCompetition in periodic media. II: Segregative limit of pulsating fronts and ``unity is not strength-type resultSpreading and vanishing in a free boundary problem for nonlinear diffusion equations with a given forced moving boundaryA nonlocal diffusion model with free boundaries in spatial heterogeneous environmentSpreading of two competing species governed by a free boundary model in a shifting environmentA weak competition system with advection and free boundariesSpreading in space-time periodic media governed by a monostable equation with free boundaries. I: Continuous initial functions.Spreading with two speeds and mass segregation in a diffusive competition system with free boundariesThe time-periodic diffusive competition models with a free boundary and sign-changing growth ratesSpreading in a shifting environment modeled by the diffusive logistic equation with a free boundaryPattern formations for a strong interacting free boundary problemExpanding speed of the habitat for a species in an advective environmentDynamics of a nonlocal SIS epidemic model with free boundaryAsymptotic profile of the solution to a free boundary problem arising in a shifting climate modelAsymptotic behavior of solutions for a free boundary problem with a nonlinear gradient absorptionExistence and uniqueness of solutions of free boundary problems in heterogeneous environmentsA two-species weak competition system of reaction-diffusion-advection with double free boundariesOn a free boundary problem for a nonlocal reaction-diffusion modelA nonlocal SIS epidemic problem with double free boundariesA nonlocal reaction-diffusion prey-predator model with free boundarySpreading-vanishing dichotomy in a diffusive logistic model with a free boundary, IIAsymptotic behavior of solutions of free boundary problems for Fisher-KPP equationGlobal existence of classical solutions for a class of diffusive ecological models with two free boundaries and cross-diffusionA free boundary problem of a predator-prey model with a nonlocal reaction termGlobal existence of classical solutions to a cross-diffusion predator-prey system with a free boundaryNumerical study of vanishing and spreading dynamics of chemotaxis systems with logistic source and a free boundarySpreading and vanishing in the diffusive prey-predator model with a free boundaryDynamics for a two-species competitive Keller-Segel chemotaxis system with a free boundarySpreading and vanishing for the logistic equation with nonlocal diffusion coefficient and free boundaryTraveling wave solutions of a free boundary problem with latent heat effectA reaction-diffusion-advection logistic model with a free boundary in heterogeneous environmentFree boundary problems with nonlocal and local diffusions. I: Global solutionAsymptotic behavior of solutions for competitive models with a free boundaryDiffusive KPP equations with free boundaries in time almost periodic environments I: Spreading and vanishing dichotomyThe reaction-diffusion system for an SIR epidemic model with a free boundaryThe spreading fronts in a mutualistic model with advection




This page was built for publication: Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary