On a quasilinear fully parabolic predator-prey model with indirect pursuit-evasion interaction

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

Unnamed Item
Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
Reaction-diffusion-advection models for the effects and evolution of dispersal
Nondegeneracy of blow-up points for the parabolic Keller-Segel system
Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source
How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals
Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
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
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
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
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
Global dynamics in a two-species chemotaxis-competition system with two signals
A quasilinear predator-prey model with indirect prey-taxis
Asymptotic stability in a chemotaxis-competition system with indirect signal production
Global boundedness in a chemotaxis quasilinear parabolic predator-prey system with pursuit-evasion
Global solvability of prey-predator models with indirect predator-taxis
Global boundedness of a diffusive prey-predator model with indirect prey-taxis and predator-taxis
Global existence and convergence to steady states for a predator-prey model with both predator- and prey-taxis
On a quasilinear fully parabolic attraction or repulsion chemotaxis system with nonlinear signal production
Large time behavior in a predator-prey system with pursuit-evasion interaction
Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis
Global boundedness and stability analysis of the quasilinear immune chemotaxis system
Predator-taxis creates spatial pattern of a predator-prey model
Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic-elliptic attraction-repulsion chemotaxis system
Boundedness and asymptotic stability in a predator-prey chemotaxis system with indirect pursuit-evasion dynamics
Boundedness and asymptotic behavior in a predator-prey model with indirect pursuit-evasion interaction
Competitive exclusion in a two-species chemotaxis model
Global well-posedness and stability analysis of prey-predator model with indirect prey-taxis
Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems
Boundedness of solutions to a quasilinear parabolic-parabolic chemotaxis model with nonlinear signal production
Distributions, Sobolev spaces, elliptic equations
Stability and double-Hopf bifurcations of a Gause-Kolmogorov-type predator-prey system with indirect prey-taxis
On a two-species competitive predator-prey system with density-dependent diffusion
Pursuit-evasion dynamics for Bazykin-type predator-prey model with indirect predator taxis
Predator–prey model with diffusion and indirect prey-taxis
Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis
Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System
On a two-species chemotaxis system with indirect signal production and general competition terms
Global Solutions near Homogeneous Steady States in a Multidimensional Population Model with Both Predator- and Prey-Taxis
Boundedness and global stability of a diffusive prey–predator model with prey-taxis
Stability Analysis of the Immune System Induced by Chemotaxis
Boundedness and global stability in a three-species predator-prey system with prey-taxis
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force
Existence and boundedness of solutions for a parabolic-elliptic predator-prey chemotaxis system
On a two-species attraction-repulsion chemotaxis system with nonlocal terms