A reaction-diffusion system modeling predator-prey with prey-taxis
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Publication:1007738
DOI10.1016/j.nonrwa.2007.06.017zbMath1156.35404OpenAlexW2040253102MaRDI QIDQ1007738
Mostafa Bendahmane, Ahmed Noussair, Bedr'Erddine Ainseba
Publication date: 24 March 2009
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.06.017
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Cites Work
- Unnamed Item
- Unnamed Item
- Compact sets in the space \(L^ p(0,T;B)\)
- Spatial segregation in competitive interaction-diffusion equations
- A mathematical analysis of a predator-prey system in a highly heterogeneous environment
- Prey-predator in patchy environment with cross diffusion
- Two ways of modelling cross-diffusion
- ON A TWO-SIDEDLY DEGENERATE CHEMOTAXIS MODEL WITH VOLUME-FILLING EFFECT
- Global existence for a parabolic chemotaxis model with prevention of overcrowding
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