Global existence of classical solutions to a cross-diffusion predator-prey system with a free boundary
type: Item
instance of: scholarly article
title: Global existence of classical solutions to a cross-diffusion predator-prey system with a free boundary
zbMATH Open document ID: 1391.35218
author: Chenglin Li
published in: Journal of Applied Mathematics and Computing
publication date: 2018-07-19T00:00:00Z
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92B05
zbMATH DE Number: 6908543
zbMATH Keywords: spreading
zbMATH Keywords: vanishing
zbMATH Keywords: free boundary
Wikidata QID: Q115601636
MaRDI profile type: Publication
full work available at URL: s12190-017-1097-0
OpenAlex ID: W2598964076
cites work: A reaction-diffusion system modeling predator-prey with prey-taxis
cites work: Spreading speed revisited: analysis of a free boundary model
cites work: Spatial Ecology via Reaction‐Diffusion Equations
cites work: A free boundary problem arising in a model of wound healing
cites work: Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model
cites work: Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
cites work: Spreading speed and profile for nonlinear Stefan problems in high space dimensions
cites work: On a free boundary problem for a two-species weak competition system
cites work: Stability analysis of a virus dynamics model with general incidence rate and two delays
cites work: A competition-diffusion system approximation to the classical two-phase Stefan problem
cites work: A free boundary problem for a predator–prey model
cites work: Diffusion, self-diffusion and cross-diffusion
cites work: Mathematical biology. Vol. 1: An introduction.
cites work: Q4221182
cites work: Q3856484
cites work: Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
cites work: On some free boundary problems of the prey-predator model
cites work: Spreading and vanishing in the diffusive prey-predator model with a free boundary
cites work: The diffusive logistic equation with a free boundary and sign-changing coefficient
cites work: A free boundary problem for the predator-prey model with double free boundaries
cites work: Stability of a predator-prey system with prey taxis in a general class of functional responses
cites work: A free boundary problem of the ratio-dependent prey-predator model
DOI: 10.1007/S12190-017-1097-0
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description: scientific article; zbMATH DE number 6908543