Dynamic transitions for the S-K-T competition system

DOI10.3934/dcdsb.2021277zbMath1495.35022OpenAlexW3216298609MaRDI QIDQ2162648

Dongpei Zhang, Ruikuan Liu

Publication date: 8 August 2022

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2021277

zbMATH Keywords

bifurcation analysistransitioncross diffusioncenter-manifold reductionS-K-T biological competing model

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Unnamed Item
• The existence and stability of nontrivial steady states for S-K-T competition model with cross diffusion
• Qualitative analysis of a Lotka-Volterra competition system with advection
• Dynamic transition and pattern formation for chemotactic systems
• On the steady state of a shadow system to the SKT competition model
• On a Lotka-Volterra competition model: the effects of advection and spatial variation
• The existence and structure of large spiky steady states for S-K-T competition systems with cross-diffusion
• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Exponential attractors for competing species model with cross-diffusions
• On global bifurcation for quasilinear elliptic systems on bounded domains
• The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
• Equilibria and stabilities for competing-species reaction-diffusion equations with Dirichlet boundary data
• Bifurcations and large-time asymptotic behavior for prey-predator reaction-diffusion equations with Dirichlet boundary data
• Positive solutions to general elliptic competition models
• Stability of singularly perturbed solutions to nonlinear diffusion systems arising in population dynamics
• Competitive exclusion and persistence in models of resource and sexual competition
• Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
• On a limiting system in the Lotka-Volterra competition with cross-diffusion.
• On the global existence of a cross-diffusion system
• A free boundary problem describing S-K-T competition ecological model with cross-diffusion
• The existence and stability of travelling waves with transition layers for some singular cross-diffusion systems
• Diffusion, self-diffusion and cross-diffusion
• \(S^1\) attractor bifurcation analysis for an electrically conducting fluid flow between two rotating cylinders
• Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection
• Dynamic transition theory for thermohaline circulation
• Bifurcation solutions of Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates
• Weak solutions of the Shigesada-Kawasaki-Teramoto equations and their attractors
• Instability of spiky steady states for S-K-T biological competing model with cross-diffusion
• Existence and uniqueness of steady state solutions of a nonlocal diffusive logistic equation
• Hopf bifurcation and transition of three-dimensional wind-driven Ocean circulation problem
• The instability of spiky steady states for a competing species model with cross diffusion
• Stability and bifurcation of the Taylor problem
• Phase Transition Dynamics
• Dynamical transition for S‐K‐T biological competing model with cross‐diffusion
• Phase transitions for Belousov-Zhabotinsky reactions
• Phase transitions for the Brusselator model
• Tropical atmospheric circulations with humidity effects
• Dynamic phase transitions for ferromagnetic systems

This page was built for publication: Dynamic transitions for the S-K-T competition system