On a predator-prey system with cross-diffusion representing the tendency of prey to keep away from its predators
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Publication:1003571
DOI10.1016/j.aml.2007.12.018zbMath1170.35549OpenAlexW1965365471WikidataQ115598040 ScholiaQ115598040MaRDI QIDQ1003571
Publication date: 4 March 2009
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2007.12.018
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)
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Cites Work
- Remarks on some Lotka-Volterra type cross-diffusion models
- Diffusion vs cross-diffusion: An elliptic approach
- Effect of cross-diffusion on pattern formation - a nonlinear analysis
- Positive steady-states for two interacting species models with linear self-cross diffusions
- Coexistence theorem of steady states for nonlinear self-cross diffusion systems with competitive dynamics.
- Multiple coexistence states for a prey-predator system with cross-diffusion.
- Diffusion and ecological problems: Modern perspectives.
- Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
- Diffusion, self-diffusion and cross-diffusion
- On the indices of fixed points of mappings in cones and applications
- Turing bifurcation in a system with cross diffusion
- Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
- Some mathematical models for population dynamics that lead to segregation
- Two ways of modelling cross-diffusion
