Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
type: Item
instance of: scholarly article
title: Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
zbMATH Open document ID: 1195.35171
author: Youshan Tao
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-06-03T00:00:00Z
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 5716772
zbMATH Keywords: reaction-diffusion-taxis system
zbMATH Keywords: contraction mapping principle
zbMATH Keywords: \(L^p\) estimates
zbMATH Keywords: Schauder estimates
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2009.05.005
OpenAlex ID: W2058877262
cites work: A reaction-diffusion system modeling predator-prey with prey-taxis
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Boundedness vs. blow-up in a chemotaxis system
cites work: Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
cites work: Global existence for a parabolic chemotaxis model with prevention of overcrowding
cites work: On the global existence of solutions to an aggregation model
cites work: Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source
cites work: Global solution for a chemotactic–haptotactic model of cancer invasion
cites work: A Chemotaxis System with Logistic Source
cites work: ANALYSIS OF A MATHEMATICAL MODEL OF TUMOR LYMPHANGIOGENESIS
cites work: Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis
cites work: On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease
cites work: Nonlinear anisotropic elliptic and parabolic equations in \(\mathbb R^{N}\) with advection and lower order terms and locally integrable data
cites work: Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations
cites work: Q5562267
DOI: 10.1016/J.NONRWA.2009.05.005
Recommended article: Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis
Recommended article: Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
Recommended article: Global bifurcation of solutions for a predator–prey model with prey‐taxis
Recommended article: Q4926786
Recommended article: Q5498333
Recommended article: Global solvability of prey-predator models with indirect predator-taxis
Recommended article: Global solution of a diffusive predator-prey model with prey-taxis
Recommended article: Global existence and boundedness of solutions in a Lotka-Volterra reaction-diffusion system of predator-prey model with nonlinear prey-taxis
Recommended article: Global existence of classical solutions to the food chain model with two-preys-taxis
Recommended article: Global existence of a diffusive predator-prey model with prey-stage structure and prey-taxis
description: scientific article; zbMATH DE number 5716772