Boundedness and stability of a quasilinear three-species predator–prey model with competition mechanism
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Publication:6493921
DOI10.1007/S00033-024-02197-9MaRDI QIDQ6493921
Sijun Zhao, Wen-Jie Zhang, H. Wang
Publication date: 29 April 2024
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
- Stability of a predator-prey system with prey taxis in a general class of functional responses
- Stationary and time-periodic patterns of two-predator and one-prey systems with prey-taxis
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Boundedness and global stability of the two-predator and one-prey models with nonlinear prey-taxis
- Global stability of prey-taxis systems
- A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation
- Continuous traveling waves for prey-taxis
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- A reaction-diffusion system modeling predator-prey with prey-taxis
- Effects of spatial grouping on the functional response of predators
- Global dynamics for a diffusive predator-prey model with prey-taxis and classical Lotka-Volterra kinetics
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Boundedness and global stability of the predator-prey model with prey-taxis and competition
- Global bifurcation and pattern formation for a reaction-diffusion predator-prey model with prey-taxis and double Beddington-DeAngelis functional responses
- Positive steady-state solutions for predator-prey systems with prey-taxis and Dirichlet conditions
- Global solution of a diffusive predator-prey model with prey-taxis
- Analysis of a chemotaxis model with indirect signal absorption
- Steady states of a predator-prey model with prey-taxis
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Boundedness vs. blow-up in a chemotaxis system
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Global boundedness and dynamics of a diffusive predator-prey model with modified Leslie-Gower functional response and density-dependent motion
- Dynamics in two-predator and one-prey models with signal-dependent motility
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
- Dynamics of a predator–prey system with nonlinear prey-taxis
- Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System
- Pattern formation in prey-taxis systems
- Dynamics for a three-species predator-prey model with density-dependent motilities
- Boundedness and global stability in a three-species predator-prey system with prey-taxis
- Impacts of prey-taxis and nonconstant mortality on a spatiotemporal predator-prey system
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