A Lotka-Volterra symbiotic model with cross-diffusion
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Publication:1007272
DOI10.1016/j.jde.2008.10.032zbMath1169.35008OpenAlexW2014813504MaRDI QIDQ1007272
Marcelo Montenegro, Antonio Suárez, Manuel Delgado
Publication date: 20 March 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2008.10.032
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Cites Work
- Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment
- Remarks on some Lotka-Volterra type cross-diffusion models
- Diffusion, cross-diffusion and competitive interaction
- Coexistence of two species in a strongly coupled cooperative model
- Diffusion vs cross-diffusion: An elliptic approach
- Nonlinear eigenvalues and global bifurcation application to the search of positive solutions for general Lotka-Volterra reaction diffusion systems with two species
- 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.
- Multiple coexistence states for a prey-predator system with cross-diffusion.
- Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
- Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
- Positive steady states for prey-predator models with cross-diffusion
- On the symbiotic Lotka-Volterra model with diffusion and transport effects
- A strongly coupled diffusion effect on the stationary solution set of a prey-predator model
- Bifurcation from simple eigenvalues
- On the existence and uniqueness of positive steady states in the volterra-lotka ecological models with diffusion
- A priori bounds for positive solutions of nonlinear elliptic equations
- Nonlinear elliptic boundary-value problems in unbounded domains
- Necessary and sufficient condition for the existence of positive solutions of certain cooperative system
- Regularity and coexistence problems for strongly coupled elliptic systems
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