Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion

From MaRDI portal
Publication:1433449

DOI10.3934/dcds.2004.10.719zbMath1047.35054OpenAlexW1970081881MaRDI QIDQ1433449

Yung-Sze Choi, Yoshio Yamada, Roger Lui

Publication date: 18 June 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.719



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


Related Items (66)

Instability of spiky steady states for S-K-T biological competing model with cross-diffusionQualitative analysis of a strongly coupled prey-predator modelPositive solutions of a Lotka-Volterra competition model with cross-diffusionSpatio-temporal coexistence in the cross-diffusion competition systemThe existence of a compact global attractor for a class of competition modelA fitness-driven cross-diffusion system from population dynamics as a gradient flowBifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environmentPositive steady states of a strongly coupled predator-prey system with Holling-\((n + 1)\) functional responseOn triangular reaction cross-diffusion systems with possible self-diffusionGlobal behavior for a diffusive predator-prey model with stage structure and nonlinear density restriction. I: The case in \(\mathbb R^n\)Global solutions for a general predator-prey model with cross-diffusion effectsEvolution of cross-diffusion and self-diffusionPositive steady states for a prey-predator model with some nonlinear diffusion termsGlobal Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion RatesThe regularity of weak solutions for certain \(n\)-dimensional strongly coupled parabolic systemsDynamic transitions for the S-K-T competition systemDynamics in a parabolic-elliptic two-species population competition model with cross-diffusion for one speciesOn the multi-dimensional advective Lotka-Volterra competition systemsReaction-diffusion-advection models for the effects and evolution of dispersalPartial Hölder regularity for solutions of a class of cross-diffusion systems with entropy structureGlobal behavior of solutions in a predator-prey cross-diffusion model with cannibalismGlobal stability in ``delay systems with cross-diffusions dominated by self-diffusionsSpatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systemsGlobal smooth solutions for triangular reaction-cross diffusion systemsOn a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusionExistence and stability of global solutions for a cross-diffusion predator-prey model with sex-structureOn nonlinear coupled diffusions in competition systemsEffect of cross-diffusion on the stationary problem of a prey-predator model with a protection zoneFish-hook shaped global bifurcation branch of a spatially heterogeneous cooperative system with cross-diffusionEffect of cross-diffusion in the diffusion prey-predator model with a protection zone. IIGlobal behavior for a strongly coupled predator-prey model with one resource and two consumersStability of steady-state solutions to a prey--predator system with cross-diffusion.On global existence of solutions to a cross-diffusion systemUniform boundedness and stability of global solutions in a strongly coupled three-species cooperating modelGlobal behavior for a strongly coupled model of plankton allelopathyThe existence of a global attractor for the S-K-T competition model with self-diffusionGlobal behavior of solutions in a Lotka-Volterra predator-prey model with prey-stage structureThe existence and stability of nontrivial steady states for S-K-T competition model with cross diffusionQualitative analysis of a Lotka-Volterra competition system with advectionPattern formation in a cross-diffusion systemStationary patterns caused by cross-diffusion for a three-species prey-predator modelStability analysis on a type of steady state for the SKT competition model with large cross diffusionLimiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advectionStationary problem of a predator-prey system with nonlinear diffusion effectsGlobal existence for a class of triangular parabolic systems on domains of arbitrary dimensionGlobal existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensionsGlobal existence and convergence of solutions to a cross-diffusion cubic predator-prey system with stage structure for the preyThe stability of nontrivial positive steady states for the SKT model with large cross diffusionHabitat choice of multiple pollinators in almond trees and its potential effect on pollen movement and productivity: a theoretical approach using the Shigesada-Kawasaki-Teramoto modelThe global existence of solutions for a cross-diffusion systemSteady states of Lotka-Volterra competition models with nonlinear cross-diffusionGlobal solutions for a general strongly coupled prey-predator modelGlobal existence of weak solutions to a prey-predator model with strong cross-diffusionAnalysis on steady states of a competition system with nonlinear diffusion termsA class of invasion models in ecology with a free boundary and with cross-diffusion and self-diffusionGlobal well-posedness of advective Lotka–Volterra competition systems with nonlinear diffusionGlobal solutions for a tritrophic food chain model with diffusionGlobal existence and stability of solution of a reaction-diffusion model for cancer invasionExistence and instability of some nontrivial steady states for the SKT competition model with large cross diffusionOn the global existence of a generalized Shigesada-Kawasaki-Teramoto systemThe role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\)Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamicsTuring patterns in a predator-prey system with self-diffusionCoexistence states of a Holling type II predator-prey system with self and cross-diffusion termsGradient Estimates and Global Existence of Smooth Solutions to a Cross-Diffusion SystemNew results for triangular reaction cross diffusion system




This page was built for publication: Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion