On the steady state of a shadow system to the SKT competition model

DOI10.3934/dcdsb.2014.19.2941zbMath1306.35029OpenAlexW2333604204MaRDI QIDQ478775

Qi Wang

Publication date: 4 December 2014

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.2014.19.2941

zbMATH Keywords

nonlinear boundary value problemtransition layershadow systemcompetition model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items (5)

Spiky steady states of a chemotaxis system with singular sensitivity ⋮ Dynamic transitions for the S-K-T competition system ⋮ On the multi-dimensional advective Lotka-Volterra competition systems ⋮ Qualitative analysis of a Lotka-Volterra competition system with advection ⋮ Global well-posedness of advective Lotka–Volterra competition systems with nonlinear diffusion

Cites Work

• The existence and structure of large spiky steady states for S-K-T competition systems with cross-diffusion
• Pattern formation in competition-diffusion systems in nonconvex domains
• Two-timing methods with applications to heterogeneous reaction-diffusion systems
• On global bifurcation for quasilinear elliptic systems on bounded domains
• Coexistence problem for two competing species models with density- dependent diffusion
• Diffusion-induced extinction of a superior species in a competition system
• Spatial segregation in competitive interaction-diffusion equations
• Effect of domain-shape on coexistence problems in a competition-diffusion system
• Boundary and interior transition layer phenomena for pairs of second- order differential equations
• Existence of non-constant stable equilibria in competition-diffusion equations
• Diffusion vs cross-diffusion: An elliptic approach
• On a limiting system in the Lotka-Volterra competition with cross-diffusion.
• On the global existence of a cross-diffusion system
• Diffusion, self-diffusion and cross-diffusion
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Bifurcation from simple eigenvalues
• Existence and stability of transition layers

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