Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
From MaRDI portal
Publication:3480532
DOI10.1137/0521018zbMath0702.35123OpenAlexW2059517472WikidataQ115525689 ScholiaQ115525689MaRDI QIDQ3480532
Publication date: 1990
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0521018
uniquenesscomparison principlepositive solutionsasymptotic stabilitybifurcationspectral analysisreaction-diffusion equations
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Bifurcations in context of PDEs (35B32)
Related Items
Positive steady states for a prey-predator model with population flux by attractive transition, Positive solutions of a Lotka-Volterra competition model with cross-diffusion, The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition, Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment, Dynamics and pattern formation in a diffusive predator-prey system, Unnamed Item, Effects of a degeneracy in a diffusive predator-prey model with Holling II functional response, Dynamics and pattern formation in a reaction-diffusion-advection mussel-algae model, Positive steady states of a prey-predator model with diffusion and non-monotone conversion rate, Qualitative analysis on a predator-prey model with Ivlev functional response, Steady-state and Hopf bifurcations in the Langford ODE and PDE systems, Positive steady states for a prey-predator model with some nonlinear diffusion terms, Asymptotic behavior and stability of positive solutions to a spatially heterogeneous predator-prey system, Formation and deformation of patterns through diffusion, Bifurcation analysis of a spatial vegetation model, Some uniqueness, multiplicity and complete dynamics for a cooperative model, Bifurcation of positive solutions for a three-species food chain model with diffusion, Invasion dynamics of a predator-prey system in closed advective environments, Turing patterns of a strongly coupled predator-prey system with diffusion effects, Bifurcation analysis and transient spatio-temporal dynamics for a diffusive plant-herbivore system with Dirichlet boundary conditions, The existence and stability of steady states for a prey-predator system with cross diffusion of quasilinear fractional type, Bifurcation dynamics of a reaction–diffusion predator–prey model with fear effect in a predator‐poisoned environment, Coexistence states for a modified Leslie-gower type predator-prey model with diffusion, Global asymptotic stability of Lotka--Volterra 3-species reaction--diffusion systems with time delays, Hopf bifurcation and steady-state bifurcation for an autocatalysis reaction-diffusion model, Existence and asymptotic behavior of positive solutions for a one-prey and two-competing-predators system with diffusion, Dynamics of a diffusive mussel-algae system in closed advective environments, Positive solutions bifurcating from zero solution in a Lotka-Volterra competitive system with cross-diffusion effects, Coexistence states of a predator-prey model with cross-diffusion, Permanence effect in a three—species food chain model, The dynamics of an eco-epidemiological prey-predator model with infectious diseases in prey, Bifurcation solutions in the diffusive minimal sediment, Unnamed Item, The effect of predator competition on positive solutions for a predator-prey model with diffusion, Some uniqueness and exact multiplicity results for a predator-prey model, Multiple coexistence states for a prey-predator system with cross-diffusion., Spatiotemporal Dynamics Induced by Michaelis–Menten Type Prey Harvesting in a Diffusive Leslie–Gower Predator–Prey Model, A Diffusive One-Prey and Two-Cooperative-Predators Model with C–M Functional Response, Long-time behavior of a class of diffusive predator-prey systems with fear cost and protection zone, Global asymptotic stability of 3-species Lotka-Volterra models with diffusion and time delays, Positive solutions for a competition model with an inhibitor involved, Dynamics analysis of a predator-prey model with herd behavior and nonlocal prey competition, Uniqueness and stability for coexistence solutions of the unstirred chemostat model, Uniqueness and stability of a predator-prey model with C-M functional response, Steady-state bifurcation and Hopf bifurcation for a diffusive Leslie-Gower predator-prey model, Existence of positive solutions for a prey-predator model with refuge and diffusion, Asymptotic behavior of solutions for a Lotka-Volterra mutualism reaction-diffusion system with time delays, A competition model for two resources in un-stirred chemostat, Existence and bifurcation of non-constant positive steady states for a tumor-immune model, Bifurcation and stability of a two-species reaction-diffusion-advection competition model, Dynamic analysis and numerical simulation of Spider-Insect system with migration, The Influence of Dirichlet Boundary Conditions on the Dynamics for a Diffusive Predator–Prey System, Spatiotemporal dynamics of a diffusive Leslie-Gower prey-predator model with strong allee effect, Multiplicity and stability of a predator-prey model with non-monotonic conversion rate, Analysis on steady states of a competition system with nonlinear diffusion terms, Bifurcation and stability of a two-species diffusive Lotka-Volterra model, Qualitative behavior of a diffusive predator-prey-mutualist model, \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model, Qualitative analysis on a diffusive predator-prey model with toxins, Convergence of solutions for Volterra-Lotka prey-predator systems with time delays, Positive solutions of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes, The coexistence states of a predator-prey model with nonmonotonic functional response and diffusion, Global asymptotic stability of 3-species mutualism models with diffusion and delay effects, Existence, uniqueness and stability of positive steady states to a prey-predator diffusion system, The effects of dispersal and spatial heterogeneity on the dynamics of a predator-prey model, Bifurcation from a double eigenvalue in the unstirred chemostat, The effects of diffusion on the dynamics of a Lotka-Volterra predator-prey model with a protection zone, Persistence and extinction in two species reaction-diffusion systems with delays, SPATIAL PATTERN FORMATIONS IN DIFFUSIVE PREDATOR-PREY SYSTEMS WITH NON-HOMOGENEOUS DIRICHLET BOUNDARY CONDITIONS, Turing patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme, On logistic diffusion equations with nonlocal interaction terms, Boundedness and blow-up behavior for reaction–diffusion systems in a bounded domain, The estimate of the resolvent and the stability of traveling wave solution, A condition of the existence of stable positive steady-state solutions for a one predator two prey system, Competition for one nutrient with recycling and allelopathy in an unstirred chemostat
