Global dynamics for a diffusive predator-prey model with prey-taxis and classical Lotka-Volterra kinetics
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Publication:1681018
DOI10.1016/j.nonrwa.2017.07.001OpenAlexW2743685425MaRDI QIDQ1681018
Publication date: 17 November 2017
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.07.001
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Global stability of prey-taxis systems
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- A user's guide to PDE models for chemotaxis
- A reaction-diffusion system modeling predator-prey with prey-taxis
- Geometric theory of semilinear parabolic equations
- Mathematical biology. Vol. 1: An introduction.
- Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- On a class of Keller-Segel chemotaxis systems with cross-diffusion
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Transient and asymptotic dynamics of a prey-predator system with diffusion
- LPBounds of solutions of reaction-diffusion equations
- Global bifurcation of solutions for a predator–prey model with prey‐taxis
- Pattern formation in prey-taxis systems
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
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