Positive solutions for Lotka–Volterra competition systems with large cross-diffusion
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Publication:3577857
DOI10.1080/00036811003627534zbMath1204.35166OpenAlexW1998360966MaRDI QIDQ3577857
Publication date: 26 July 2010
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811003627534
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) A priori estimates in context of PDEs (35B45) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)
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Cites Work
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- Positive steady-states for two interacting species models with linear self-cross diffusions
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- Diffusion, self-diffusion and cross-diffusion
- Positive steady-state solutions of a competing reaction-diffusion system
- Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
- The instability of spiky steady states for a competing species model with cross diffusion
- Bifurcation from simple eigenvalues
- Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model
