Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis
type: Item
instance of: scholarly article
title: Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis
zbMATH Open document ID: 1501.92117
author: Yong Luo
published in: Mathematical Biosciences and Engineering
publication date: 2022-11-02T00:00:00Z
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7610950
zbMATH Keywords: density-dependent
zbMATH Keywords: indirect prey-taxis
zbMATH Keywords: Lyapunov function
zbMATH Keywords: asymptotical stability
zbMATH Keywords: nonlinear semigroup
MaRDI profile type: Publication
full work available at URL: mbe.2021331
OpenAlex ID: W3191081104
cites work: Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
cites work: Global stability of prey-taxis systems
cites work: Global existence for a parabolic chemotaxis model with prevention of overcrowding
cites work: A reaction-diffusion system modeling predator-prey with prey-taxis
cites work: Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
cites work: Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
cites work: Steady states of a predator-prey model with prey-taxis
cites work: Global bifurcation of solutions for a predator–prey model with prey‐taxis
cites work: Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
cites work: Holling-Tanner model with Beddington-DeAngelis functional response and time delay introducing harvesting
cites work: Effects on prey–predator with different functional responses
cites work: Analysis of prey-predator three species fishery model with harvesting including prey refuge and migration
cites work: Predator-prey model with diffusion and indirect prey-taxis
cites work: Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility
cites work: Critical mass on the Keller-Segel system with signal-dependent motility
cites work: Pattern formation in bacterial colonies with density-dependent diffusion
cites work: Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
cites work: Dynamics of virus infection models with density-dependent diffusion
cites work: Global well-posedness and stability analysis of prey-predator model with indirect prey-taxis
cites work: The dynamics of a predator-prey model with diffusion and indirect prey-taxis
cites work: Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
cites work: Dynamic theory of quasilinear parabolic systems. III: Global existence
cites work: Q4327845
cites work: On the global existence of solutions to an aggregation model
cites work: Geometric theory of semilinear parabolic equations
cites work: Boundedness vs. blow-up in a chemotaxis system
cites work: Q5562267
cites work: A computational study of density-dependent individual movement and the formation of population clusters in two-dimensional spatial domains
DOI: 10.3934/MBE.2021331
description: scientific article; zbMATH DE number 7610950