Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms
type: Item
instance of: scholarly article
title: Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms
zbMATH Open document ID: 1501.35181
author: Willian Cintra
author: Carlos A. Santos
author: Jiazheng Zhou
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-10-25T00:00:00Z
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7606624
zbMATH Keywords: predator-prey system
zbMATH Keywords: quasilinear elliptic system
Wikidata QID: Q113201462
MaRDI profile type: Publication
full work available at URL: dcdsb.2021211
OpenAlex ID: W3194058832
cites work: Q5609622
cites work: Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II
cites work: Existence and uniqueness of coexistence states for a predator-prey model with diffusion
cites work: Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
cites work: Unilateral global bifurcation for a class of quasilinear elliptic systems and applications
cites work: Reaction-diffusion-advection models for the effects and evolution of dispersal
cites work: Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
cites work: Bifurcation from simple eigenvalues
cites work: Bifurcation, perturbation of simple eigenvalues, and linearized stability
cites work: Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions
cites work: \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
cites work: Steady states of models of microbial growth and competition with chemotaxis
cites work: Elliptic partial differential equations of second order
cites work: Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
cites work: Multiple coexistence states for a prey-predator system with cross-diffusion.
cites work: On limit systems for some population models with cross-diffusion
cites work: Regularity and coexistence problems for strongly coupled elliptic systems
cites work: On global bifurcation for a cross-diffusion predator-prey system with prey-taxis
cites work: Nonlinear eigenvalues and global bifurcation application to the search of positive solutions for general Lotka-Volterra reaction diffusion systems with two species
cites work: Linear Second Order Elliptic Operators
cites work: Existence and uniqueness of coexistence states for the predator-prey model with diffusion: The scalar case
cites work: Diffusion, self-diffusion and cross-diffusion
cites work: Positive steady states for prey-predator models with cross-diffusion
cites work: Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
cites work: Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
cites work: Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
cites work: Coexistence theorem of steady states for nonlinear self-cross diffusion systems with competitive dynamics.
cites work: Coexistence states of a predator-prey model with cross-diffusion
cites work: Coexistence states of a Holling type-II predator-prey system
cites work: Corrigendum to ``Coexistence states of a Holling type-II predator-prey system'' [J. Math. Anal. Appl. 369 (2) (2010) 555-563]
DOI: 10.3934/DCDSB.2021211
description: scientific article; zbMATH DE number 7606624