Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
From MaRDI portal
Publication:1916736
DOI10.1006/jmaa.1996.0039zbMath0855.35066OpenAlexW2033518856MaRDI QIDQ1916736
Publication date: 29 August 1996
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1996.0039
Related Items (46)
Positive solutions of a Lotka-Volterra competition model with cross-diffusion ⋮ Positive steady states of a strongly coupled predator-prey system with Holling-\((n + 1)\) functional response ⋮ Positive steady states for a prey-predator model with some nonlinear diffusion terms ⋮ Coexistence in a competitor-competitor-mutualist model ⋮ Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions ⋮ Non-constant positive steady states for a strongly coupled nonlinear reaction-diffusion system arising in population dynamics ⋮ Global stability in ``delay systems with cross-diffusions dominated by self-diffusions ⋮ Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model ⋮ Coexistence and asymptotic periodicity in a competition model of plankton allelopathy ⋮ Long-time behavior and Turing instability induced by cross-diffusion in a three species food chain model with a Holling type-II functional response ⋮ Coexistence states of a nonlinear Lotka-Volterra type predator-prey model with cross-diffusion ⋮ Coexistence theorem of steady states for nonlinear self-cross diffusion systems with competitive dynamics. ⋮ Positive solutions bifurcating from zero solution in a Lotka-Volterra competitive system with cross-diffusion effects ⋮ Fish-hook shaped global bifurcation branch of a spatially heterogeneous cooperative system with cross-diffusion ⋮ Coexistence of three species in a strongly coupled elliptic system. ⋮ Uniform Hölder bounds for a strongly coupled elliptic system with strong competition ⋮ Uniform boundedness and stability of global solutions in a strongly coupled three-species cooperating model ⋮ Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion ⋮ Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion and Holling type-II functional response ⋮ A free boundary problem describing S-K-T competition ecological model with cross-diffusion ⋮ Coexistence states in a cross-diffusion system of a predator–prey model with predator satiation term ⋮ Cross-diffusion induced Turing instability for a three species food chain model ⋮ Global and blow-up solutions for nonlinear degenerate parabolic systems with crosswise-diffusion ⋮ Unilateral global bifurcation for a class of quasilinear elliptic systems and applications ⋮ Coexistence in a strongly coupled system describing a two-species cooperative model ⋮ Refuge versus dispersion in the logistic equation ⋮ Coexistence and asymptotic periodicity in a competitor-competitor-mutualist model ⋮ Uniqueness and least energy property for solutions to a strongly coupled elliptic system ⋮ Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection ⋮ Positive solutions for Lotka–Volterra competition systems with large cross-diffusion ⋮ Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion ⋮ Coexistence of a general elliptic system in population dynamics ⋮ Coexistence of two species in a strongly coupled Schoener's competitive model ⋮ Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion of fractional type ⋮ The stability of nontrivial positive steady states for the SKT model with large cross diffusion ⋮ Steady states of Lotka-Volterra competition models with nonlinear cross-diffusion ⋮ An elliptic cross-diffusion system describing two-species models on a bounded domain with different natural conditions ⋮ A Lotka-Volterra symbiotic model with cross-diffusion ⋮ Diffusive and nondiffusive population models ⋮ Direction of Hopf bifurcation in a delayed Lotka-Volterra competition diffusion system ⋮ Coexistence of two species in a strongly coupled cooperative model ⋮ Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics ⋮ The spatial behavior of a strongly coupled non-autonomous elliptic system ⋮ Bifurcation Analysis in an n-Dimensional Diffusive Competitive Lotka–Volterra System with Time Delay ⋮ Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms ⋮ Bifurcation of Reaction Cross-Diffusion Systems
This page was built for publication: Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
