Boundedness and global stability of a diffusive prey–predator model with prey-taxis
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Publication:5164917
DOI10.1080/00036811.2020.1715953zbMath1477.35048OpenAlexW3002296893WikidataQ115552852 ScholiaQ115552852MaRDI QIDQ5164917
Publication date: 15 November 2021
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1715953
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (4)
Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis ⋮ Impacts of prey-taxis and nonconstant mortality on a spatiotemporal predator-prey system ⋮ On a quasilinear fully parabolic predator-prey model with indirect pursuit-evasion interaction ⋮ A predator–prey system with prey social behavior and generalized Holling III functional response: Role of predator‐taxis on spatial patterns
Cites Work
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- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Global stability of prey-taxis systems
- Qualitative analysis of a diffusive prey-predator model with trophic interactions of three levels
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- A diffusive predator-prey model with a protection zone
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- A reaction-diffusion system modeling predator-prey with prey-taxis
- Note on the Lyapunov functional method
- Global dynamics for a diffusive predator-prey model with prey-taxis and classical Lotka-Volterra kinetics
- Dynamic behaviour of a reaction-diffusion predator-prey model with both refuge and harvesting
- Global stability and pattern formation in a nonlocal diffusive Lotka-Volterra competition model
- Strategy and stationary pattern in a three-species predator--prey model
- Stationary pattern of a diffusive prey-predator model with trophic intersections of three levels
- Strong Allee effect in a diffusive predator-prey system with a protection zone
- Modelling of predator-prey trophic interactions. II: Three trophic levels
- Boundedness vs. blow-up in a chemotaxis system
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
- Spatiotemporal Complexity of Plankton and Fish Dynamics
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Pattern formation in prey-taxis systems
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