Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
From MaRDI portal
Publication:5056754
DOI10.1017/S0956792520000248zbMath1505.35040arXiv1907.02312WikidataQ115562845 ScholiaQ115562845MaRDI QIDQ5056754
Publication date: 8 December 2022
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.02312
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Related Items (43)
Traveling wave solutions to the density-suppressed motility model ⋮ Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis ⋮ Global classical solutions for a class of reaction-diffusion system with density-suppressed motility ⋮ Global dynamics of a three-species spatial food chain model ⋮ Positive steady-state solutions for predator-prey systems with prey-taxis and Dirichlet conditions ⋮ Global bifurcation of coexistence states for a prey-taxis system with homogeneous Dirichlet boundary conditions ⋮ Global solutions near homogeneous steady states in a fully cross-diffusive predator-prey system with density-dependent motion ⋮ Positive Steady-State Solutions for a Class of Prey-Predator Systems with Indirect Prey-Taxis ⋮ 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 ⋮ Qualitative properties for a three-species food chain model with cross-diffusion and intra-specific competition ⋮ Global boundedness for a food chain model with general logistic source ⋮ Global solutions to a chemotaxis-growth system with signal-dependent motilities and signal consumption ⋮ A note to the global solvability of a chemotaxis-Navier-Stokes system with density-suppressed motility ⋮ Viral infection dynamics with immune chemokines and CTL mobility modulated by the infected cell density ⋮ On a New Type of Chemotaxis Model with Acceleration ⋮ The vanishing viscosity limit on a model of Kareiva-Odell type in 2D ⋮ On a quasilinear fully parabolic predator-prey model with indirect pursuit-evasion interaction ⋮ Global boundedness and dynamics of a diffusive predator-prey model with modified Leslie-Gower functional response and density-dependent motion ⋮ The effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model ⋮ Dynamics of two-species Holling type-II predator-prey system with cross-diffusion ⋮ Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis ⋮ Nonconstant steady states in a predator-prey system with density-dependent motility ⋮ Global dynamics of an indirect prey-taxis system with an anti-predation mechanism ⋮ On the existence of generalized solutions to a spatio-temporal predator-prey system with prey-taxis ⋮ Dynamics in two-predator and one-prey models with signal-dependent motility ⋮ Predator-prey systems with defense switching and density-suppressed dispersal strategy ⋮ 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 ⋮ Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator ⋮ Global behavior of a two-species predator-prey chemotaxis model with signal-dependent diffusion and sensitivity ⋮ Nonlinear diffusion for bacterial traveling wave phenomenon ⋮ Predator-prey models with prey-dependent diffusion on predators in spatially heterogeneous habitat ⋮ On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion ⋮ Global dynamics of a tumor invasion model with/without logistic source ⋮ Global well-posedness, pattern formation and spiky stationary solutions in a Beddington-DeAngelis competition system ⋮ Global dynamics and spatio-temporal patterns in a two-species chemotaxis system with two chemicals ⋮ Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities ⋮ Global dynamics of a chemotaxis model with signal-dependent diffusion and sensitivity ⋮ Global solvability of a class of reaction-diffusion systems with cross-diffusion ⋮ Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis ⋮ Predator-taxis creates spatial pattern of a predator-prey model ⋮ Boundedness and global stability of the predator-prey model with prey-taxis and competition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reaction-diffusion-advection models for the effects and evolution of dispersal
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- 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 in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Boundedness and global stability of the two-predator and one-prey models with nonlinear prey-taxis
- Global stability of prey-taxis systems
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Model for chemotaxis
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Continuous traveling waves for prey-taxis
- The theory of differential equations. Classical and qualitative
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- A reaction-diffusion system modeling predator-prey with prey-taxis
- Spatial segregation in competitive interaction-diffusion equations
- Diffusion and ecological problems: Modern perspectives.
- Note on the Lyapunov functional method
- Stationary and non-stationary patterns of the density-suppressed motility model
- On the global existence of solutions to an aggregation model
- Predator-prey model with prey-taxis and diffusion
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Diffusive and nondiffusive population models
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- LPBounds of solutions of reaction-diffusion equations
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- A meeting point of entropy and bifurcations in cross-diffusion herding
- Pattern formation in bacterial colonies with density-dependent diffusion
- Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis
- Pattern formation in prey-taxis systems
This page was built for publication: Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion