Global stability in ``delay systems with cross-diffusions dominated by self-diffusions
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Publication:619725
DOI10.1016/j.nonrwa.2010.08.022zbMath1213.35108OpenAlexW2054390601MaRDI QIDQ619725
Masataka Kuroda, Yoshiaki Muroya
Publication date: 18 January 2011
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.08.022
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (2)
Uniform boundedness and convergence of global solutions to a strongly-coupled parabolic system with three competitive species ⋮ Bifurcation Analysis in an n-Dimensional Diffusive Competitive Lotka–Volterra System with Time Delay
Cites Work
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- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Coexistence problem for two competing species models with density- dependent diffusion
- An initial-boundary-value problem for a certain density-dependent diffusion system
- Spatial segregation in competitive interaction-diffusion equations
- Stationary pattern of some density-dependent diffusion system with competitive dynamics
- Stability of singularly perturbed solutions to nonlinear diffusion systems arising in population dynamics
- Coexistence theorem of steady states for nonlinear self-cross diffusion systems with competitive dynamics.
- Stability of steady-state solutions to a prey--predator system with cross-diffusion.
- Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
- On the global existence of a cross-diffusion system
- Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
- Diffusion, self-diffusion and cross-diffusion
- Uniform boundedness and convergence of solutions to the systems with cross-diffusions dominated by self-diffusions
- Uniform boundedness and convergence of solutions to the systems with a single nonzero cross-diffusion
- Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
- Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays
- Coexistence and asymptotic periodicity in a competitor-competitor-mutualist model
- Global existence for a class of strongly coupled parabolic systems
- Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
- Global solution to some quasilinear parabolic system in population dynamics
- Global existence for a class of triangular parabolic systems on domains of arbitrary dimension
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