Coexistence of a three species predator-prey model with diffusion and density dependent mortality
type: Item
instance of: scholarly article
title: Coexistence of a three species predator-prey model with diffusion and density dependent mortality
zbMATH Open document ID: 1231.35276
author: Jun Zhou
author: Chunlai Mu
publication date: 2012-02-03T00:00:00Z
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6003032
zbMATH Keywords: functional response
zbMATH Keywords: density dependent mortality
zbMATH Keywords: competitive exclusion
zbMATH Keywords: coexistence
zbMATH Keywords: local stability
zbMATH Keywords: global stability
Wikidata QID: Q110792039
MaRDI profile type: Publication
full work available at URL: s12215-011-0044-4
OpenAlex ID: W1999379087
cites work: Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat
cites work: Spatial Ecology via Reaction‐Diffusion Equations
cites work: Effect of cross-diffusion on pattern formation - a nonlinear analysis
cites work: Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model
cites work: Pattern formation outside of equilibrium
cites work: Periodic Two-Predator, One-Prey Interactions and the Time Sharing of a Resource Niche
cites work: Dynamics of Lotka-Volterra competition systems with large interaction
cites work: A priori bounds and global existence of solutions of the steady-state Sel'kov model
cites work: Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation
cites work: Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square
cites work: Zip bifurcation in a competition model
cites work: Q3895297
cites work: Q4051967
cites work: Competing Predators
cites work: Permanence and the dynamics of biological systems
cites work: An interfacial approach to regional segregation of two competing species mediated by a predator
cites work: The stability of spike solutions to the one-dimensional Gierer-Meinhardt model
cites work: Existence and instability of Neumann layer solutions for a 3-component Lotka-Volterra model with diffusion
cites work: Singular Perturbation Approach to a 3-component Reaction-Diffusion System Arising in Population Dynamics
cites work: Large amplitude stationary solutions to a chemotaxis system
cites work: Competition and stoichiometry: coexistence of two predators on one prey
cites work: On \(3\times 3\) Lotka-Volterra competition systems with cross-diffusion
cites work: Diffusion, self-diffusion and cross-diffusion
cites work: Diffusion vs cross-diffusion: An elliptic approach
cites work: Some mathematical problems concerning the ecological principle of competitive exclusion
cites work: Remarks on Competitive Coexistence
cites work: Qualitative analysis of a ratio-dependent predator–prey system with diffusion
cites work: Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
cites work: Positive steady-state solutions of the Noyes--Field model for Belousov--Zhabotinskii reaction.
cites work: The Interaction of Steady State and Hopf Bifurcations in a Two-Predator–One-Prey Competition Model
cites work: The chemical basis of morphogenesis
cites work: Qualitative Behavior of Solutions of Chemotactic Diffusion Systems: Effects of Motility and Chemotaxis and Dynamics
cites work: Non-constant positive steady states of the Sel'kov model.
cites work: Stationary patterns of strongly coupled prey--predator models
cites work: Asymmetric spike patterns for the one-dimensional Gierer–Meinhardt model: equilibria and stability
cites work: Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case
cites work: Mini-maximizers for reaction-diffusion systems with skew-gradient structure
DOI: 10.1007/S12215-011-0044-4
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 6003032