Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions

From MaRDI portal
Publication:5317388

DOI10.1137/S003614100343651XzbMath1112.35062MaRDI QIDQ5317388

Gary M. Lieberman

Publication date: 16 September 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (63)

Qualitative analysis on positive steady-states for an autocatalytic reaction model in thermodynamicsSteady states of a Sel'kov-Schnakenberg reaction-diffusion systemAnalysis on a generalized Sel'kov-Schnakenberg reaction-diffusion systemDynamics of a diffusive predator-prey model: the effect of conversion rateAnalysis on a diffusive SI epidemic model with logistic source and saturation infection mechanismPattern formation for a two-dimensional reaction-diffusion model with chemotaxisHopf bifurcation in spatially homogeneous and inhomogeneous autocatalysis modelsDynamics of periodic solutions in the reaction-diffusion glycolysis model: mathematical mechanisms of Turing pattern formationQualitative analysis of a Belousov-Zhabotinskii reaction modelQualitative analysis on a spatial SIS epidemic model with linear source in advective environments: I standard incidenceVarying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic modelSpatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis modelPattern formation of a diffusive predator-prey model with strong allee effect and nonconstant death rateAnalysis on bifurcation and stability of a generalized Gray-Scott chemical reaction modelEffect of cross-diffusion on the stationary problem of a Leslie prey-predator model with a protection zoneStationary pattern of a reaction-diffusion mussel-algae modelAnalysis of a diffusive SIS epidemic model with spontaneous infection and a linear source in spatially heterogeneous environmentQualitative analysis on an SIRS reaction-diffusion epidemic model with saturation infection mechanismOn a Diffusive Susceptible-Infected-Susceptible Epidemic Model with Mass Action Mechanism and Birth-Death Effect: Analysis, Simulations, and Comparison with Other MechanismsStability and bifurcation on predator-prey systems with nonlocal prey competitionStationary patterns of a diffusive predator-prey model with Crowley-Martin functional responseAnalysis on a diffusive SIS epidemic model with logistic sourcePositive steady-state solutions for a water-vegetation model with the infiltration feedback effectNovel spatial profiles of some diffusive SIS epidemic modelsAnalysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environmentDynamics of nonconstant steady states of the Sel'kov model with saturation effectNonexistence of nonconstant positive steady states of a diffusive predator-prey modelCoexistence and stability of an unstirred chemostat model with Beddington-DeAngelis functionHopf bifurcation and steady-state bifurcation for an autocatalysis reaction-diffusion modelBifurcations and asymptotic behavior of positive steady-states of an enzyme-catalyzed reaction–diffusion systemAnalysis of global stability and asymptotic properties of a cholera model with multiple transmission routes, spatial diffusion and incomplete immunityStability and Hopf bifurcation for a prey-predator model with prey-stage structure and diffu\-sionAsymptotic behavior of an SIS reaction-diffusion-advection model with saturation and spontaneous infection mechanismAn SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environmentQualitative analysis on positive steady-state solutions for an autocatalysis model with high orderA qualitative analysis of positive steady-state solutions for a mussel-algae model with diffusionTuring instability and pattern formation in a diffusive Sel'kov-Schnakenberg systemAnalysis on a diffusive SIRS epidemic model with logistic source and saturated incidence rateDynamics analysis on a chronic epidemic model with diffusionSpatiotemporal Patterns Induced by Cross-Diffusion in a Three-Species Food Chain ModelAsymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movementQualitative analysis of steady states to the Sel'kov modelPattern formation of a biomass-water reaction-diffusion modelQualitative analysis for a biological depletion modelThe existence of steady states for a bimolecular model with autocatalysis and saturation lawBifurcation and pattern formation in diffusive Klausmeier-Gray-Scott model of water-plant interactionQualitative analysis of a diffusive predator–prey model with Allee and fear effectsStationary patterns of a ratio-dependent prey-predator model with cross-diffusionQualitative analysis on a diffusive SIRS epidemic model with standard incidence infection mechanismQualitative analysis on an SIS epidemic reaction-diffusion model with mass action infection mechanism and spontaneous infection in a heterogeneous environmentAsymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rateAnalysis on a diffusive SIS epidemic system with linear source and frequency-dependent incidence function in a heterogeneous environmentConcentration behavior of endemic equilibrium for a reaction-diffusion-advection SIS epidemic model with mass action infection mechanismSteady-State Bifurcation for a Biological Depletion ModelDeciphering role of inter and intracity human dispersal on epidemic spread via coupled reaction-diffusion modelsOn steady-state solutions of the Brusselator-type systemNon-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction caseGlobal bifurcation in a toxin producing phytoplankton-zooplankton system with prey-taxisAsymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. IEffects of dispersal for a predator-prey model in a heterogeneous environmentDynamics of an SIRS epidemic model with cross-diffusionGlobal dynamics and travelling waves for a periodic and diffusive chemostat model with two nutrients and one microorganismAsymptotic profiles of positive steady states for a diffusive predator-prey model with predator interference




This page was built for publication: Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions