Dynamics of a predator–prey system with nonlinear prey-taxis
From MaRDI portal
Publication:5089482
DOI10.1088/1361-6544/ac78bczbMath1495.35172OpenAlexW4285607443WikidataQ114096620 ScholiaQ114096620MaRDI QIDQ5089482
Publication date: 19 July 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ac78bc
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32)
Related Items
Global bounded solution of a forager-exploiter model with logistic sources and different taxis mechanisms, Synchronization of Turing patterns in complex networks of reaction–diffusion systems set in distinct domains
Cites Work
- Unnamed Item
- 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
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- 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
- The dynamics of a predator-prey model with diffusion and indirect prey-taxis
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition
- Hopf bifurcation in a diffusive Lotka-Volterra type system with nonlocal delay effect
- 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
- A user's guide to PDE models for chemotaxis
- A reaction-diffusion system modeling predator-prey with prey-taxis
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Singularities and groups in bifurcation theory. Volume II
- Elements of applied bifurcation theory.
- Bifurcation and spatio-temporal patterns in a diffusive predator-prey system
- Theory and applications of partial functional differential equations
- Global existence and boundedness of classical solutions to a parabolic-parabolic chemotaxis system
- Bifurcation theory of functional differential equations
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Steady states of Lotka-Volterra competition models with nonlinear cross-diffusion
- On the global existence of solutions to an aggregation model
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Boundedness vs. blow-up in a chemotaxis system
- Stabilization in a chemotaxis model for tumor invasion
- Normal forms for certain singularities of vectorfields
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- The diffusive Beddington‐DeAngelis predator‐prey model with nonlinear prey‐taxis and free boundary
- Hopf Bifurcation for Semilinear FDEs in General Banach Spaces
- Global bifurcation of solutions for a predator–prey model with prey‐taxis
- Stability and Bifurcation in a Predator–Prey System with Prey-Taxis
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Oscillatory and Stationary Patterns in a Diffusive Model with Delay Effect
- Global existence and spatiotemporal pattern formation of a nutrient-microorganism model with nutrient-taxis in the sediment
