Existence, uniqueness and stability of positive steady states to a prey-predator diffusion system
type: Item
instance of: scholarly article
title: Existence, uniqueness and stability of positive steady states to a prey-predator diffusion system
zbMATH Open document ID: 1179.35145
author: Mingxin Wang
author: Xubo Wang
published in: Science in China. Series A
publication date: 2009-12-02T00:00:00Z
Mathematics Subject Classification ID: 35J75
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 5641630
zbMATH Keywords: prey-predator model
zbMATH Keywords: positive solutions
zbMATH Keywords: bifurcation
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: stability
Wikidata QID: Q115602266
MaRDI profile type: Publication
full work available at URL: s11425-008-0162-4
OpenAlex ID: W2159375253
cites work: Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
cites work: Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
cites work: Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
cites work: On the fixed point index and multiple steady-state solutions of reaction- diffusion systems
cites work: Nonvariational elliptic systems
cites work: Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
cites work: On the indices of fixed points of mappings in cones and applications
cites work: Effects of Certain Degeneracies in the Predator-Prey Model
cites work: On the symbiotic Lotka-Volterra model with diffusion and transport effects
cites work: Some uniqueness and exact multiplicity results for a predator-prey model
cites work: \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
cites work: Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model
cites work: Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
cites work: Positive steady-state solutions of a competing reaction-diffusion system
cites work: Bifurcation from simple eigenvalues
cites work: Minimal complexity of semi-bounded components in bifurcation theory
cites work: Bifurcation, perturbation of simple eigenvalues, and linearized stability
cites work: Topics in nonlinear functional analysis. Notes by Ralph A. Artino.
cites work: Q5526485
DOI: 10.1007/S11425-008-0162-4
description: scientific article; zbMATH DE number 5641630