Pattern formation of a predator-prey model with the cost of anti-predator behaviors
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Publication:1714901
DOI10.3934/mbe.2018035zbMath1406.92530OpenAlexW2780055677WikidataQ58131261 ScholiaQ58131261MaRDI QIDQ1714901
Publication date: 1 February 2019
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2018035
Population dynamics (general) (92D25) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)
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Cites Work
- Unnamed Item
- Unnamed Item
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- Dynamics and patterns of a diffusive Leslie-Gower prey-predator model with strong Allee effect in prey
- Avoidance behavior in intraguild predation communities: a cross-diffusion model
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Modelling the fear effect in predator-prey interactions
- Global stability of prey-taxis systems
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Turing patterns in a modified Lotka-Volterra model
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- A user's guide to PDE models for chemotaxis
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- A reaction-diffusion system modeling predator-prey with prey-taxis
- An application of the invariance principle to reaction diffusion equations
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.
- Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
- Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Hopf Bifurcation and Delay-Induced Turing Instability in a Diffusive lac Operon Model
- Spatiotemporal Complexity of Plankton and Fish Dynamics
- Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference
- Classical solutions and pattern formation for a volume filling chemotaxis model
- Asymptotic Behaviors of a Parabolic System Related to a Planktonic Prey and Predator Model
- Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
- Global bifurcation of solutions for a predator–prey model with prey‐taxis
- Pattern formation in prey-taxis systems
- Pursuit-evasion predator-prey waves in two spatial dimensions
- Global existence for a parabolic chemotaxis model with prevention of overcrowding
