Asymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxis
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Publication:5862265
DOI10.1080/00036811.2020.1728259zbMath1484.35046OpenAlexW3006221428WikidataQ115552847 ScholiaQ115552847MaRDI QIDQ5862265
Qian Cao, Yongli Cai, Zhi-An Wang
Publication date: 7 March 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1728259
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
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Cites Work
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- Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
- Nonconstant positive steady states and pattern formation of 1D prey-taxis systems
- Predator-prey system with strong Allee effect in prey
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Global stability of prey-taxis systems
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Global asymptotic stability of a ratio-dependent predator-prey system with diffusion
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Continuous traveling waves for prey-taxis
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Self-replication of spatial patterns in a ratio-dependent predator-prey model
- A reaction-diffusion system modeling predator-prey with prey-taxis
- Numerical solutions of a Michaelis-Menten-type ratio-dependent predator-prey system with diffusion
- Nonlinear systems. Analysis, stability, and control
- Effects of spatial grouping on the functional response of predators
- Global dynamics of a ratio-dependent predator-prey system
- Bifurcation analysis of a diffusive ratio-dependent predator-prey model
- Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point
- Steady states of a predator-prey model with prey-taxis
- Predator-prey model with prey-taxis and diffusion
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Qualitative analysis of a ratio-dependent predator–prey system with diffusion
- COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
- Global bifurcation of solutions for a predator–prey model with prey‐taxis
- Pattern formation in prey-taxis systems
- Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
- Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system