Boundedness and global stability of the predator-prey model with prey-taxis and competition
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Publication:2113909
DOI10.1016/j.nonrwa.2022.103521zbMath1489.92121OpenAlexW4214888766MaRDI QIDQ2113909
Yingyuan Mi, Cui Song, Zhi-Cheng Wang
Publication date: 14 March 2022
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103521
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)
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Boundedness and global stability in a three-species predator-prey system with prey-taxis ⋮ Global boundedness and asymptotics of a class of prey‐taxis models with singular response ⋮ Global boundedness and dynamics of a diffusive predator-prey model with modified Leslie-Gower functional response and density-dependent motion ⋮ On a two-species competitive predator-prey system with density-dependent diffusion ⋮ Boundedness and stabilization of a predator-prey model with attraction-repulsion taxis in all dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Stationary and time-periodic patterns of two-predator and one-prey systems with prey-taxis
- Nonconstant positive steady states and pattern formation of 1D prey-taxis systems
- Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
- Dynamics of species in a model with two predators and one prey
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Boundedness and global stability of the two-predator and one-prey models with nonlinear prey-taxis
- Global stability of prey-taxis systems
- The dynamics of a predator-prey model with diffusion and indirect prey-taxis
- A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- A reaction-diffusion system modeling predator-prey with prey-taxis
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- Strategy and stationary pattern in a three-species predator--prey model
- Global boundedness in a chemotaxis quasilinear parabolic predator-prey system with pursuit-evasion
- Global boundedness and stability of solutions for prey-taxis model with handling and searching predators
- Global solution of a diffusive predator-prey model with prey-taxis
- Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities
- On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion
- Competitive exclusion in a two-species chemotaxis model
- Global dynamics and traveling wave solutions of two predators-one prey models
- On the global existence of solutions to an aggregation model
- Boundedness vs. blow-up in a chemotaxis system
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Predator–prey model with diffusion and indirect prey-taxis
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Stabilization in a two-species chemotaxis system with a logistic source
- Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Predators–prey models with competition, Part I: Existence, bifurcation and qualitative properties
- On the weakly competitive case in a two-species chemotaxis model
- The role of indirect prey‐taxis and interference among predators in pattern formation
- Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
- A predator–prey model with taxis mechanisms and stage structure for the predator
- Global Solutions near Homogeneous Steady States in a Multidimensional Population Model with Both Predator- and Prey-Taxis
- Dynamics and pattern formations in diffusive predator‐prey models with two prey‐taxis