Effects of a degeneracy in a diffusive predator-prey model with Holling II functional response
type: Item
instance of: scholarly article
title: Effects of a degeneracy in a diffusive predator-prey model with Holling II functional response
zbMATH Open document ID: 1394.35518
author: Shanbing Li
author: Yaying Dong
author: Jianhua Wu
published in: Nonlinear Analysis. Real World Applications
publication date: 2018-06-21T00:00:00Z
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 6892717
zbMATH Keywords: degeneracy
zbMATH Keywords: coexistence states
zbMATH Keywords: global bifurcation
zbMATH Keywords: asymptotic behavior
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2018.02.003
OpenAlex ID: W2795097636
cites work: Coexistence regions in Lotka-Volterra models with diffusion
cites work: Existence and uniqueness of coexistence states for the predator-prey model with diffusion: The scalar case
cites work: Invertibility of linear noncooperative elliptic systems
cites work: Existence and uniqueness of coexistence states for a predator-prey model with diffusion
cites work: Positive steady states for prey-predator models with cross-diffusion
cites work: Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
cites work: Some uniqueness and exact multiplicity results for a predator-prey model
cites work: Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation
cites work: Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
cites work: On Positive Solutions of Some Pairs of Differential Equations
cites work: Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
cites work: Multiplicity and uniqueness of positive solutions for a predator-prey model with C-M functional response
cites work: Q3450996
cites work: Uniqueness and stability of a predator-prey model with C-M functional response
cites work: Steady-state bifurcation and Hopf bifurcation for a diffusive Leslie-Gower predator-prey model
cites work: Qualitative analysis of a predator-prey model with predator saturation and competition
cites work: Q4868377
cites work: Q4868385
cites work: Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
cites work: Pointwise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs
cites work: First variations of principal eigenvalues with respect to the domain and point-wise growth of positive solutions for problems where bifurcation from infinity occurs
cites work: On the existence and numerical computation of classical and non-classical solutions for a family of elliptic boundary value problems
cites work: Q4512793
cites work: Metasolutions of Parabolic Equations in Population Dynamics
cites work: Effects of Certain Degeneracies in the Predator-Prey Model
cites work: Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions
cites work: Effects of a degeneracy in the competition model. II: Perturbation and dynamical behaviour
cites work: Allee effect and bistability in a spatially heterogeneous predator-prey model
cites work: Effect of cross-diffusion on the stationary problem of a Leslie prey-predator model with a protection zone
cites work: Positive solutions for Lotka-Volterra competition system with large cross-diffusion in a spatially heterogeneous environment
cites work: Asymptotic behavior and stability of positive solutions to a spatially heterogeneous predator-prey system
cites work: Spectral theory and nonlinear functional analysis
cites work: Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems.
cites work: Linear Second Order Elliptic Operators
cites work: Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
cites work: Diffusion vs cross-diffusion: An elliptic approach
cites work: Bifurcation from simple eigenvalues
cites work: LOGISTIC TYPE EQUATIONS ON ℝN BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
Wikidata QID: Q130187145
DOI: 10.1016/J.NONRWA.2018.02.003
description: scientific article; zbMATH DE number 6892717