Dynamics for a charge transfer model with cross-diffusion: Turing instability of periodic solutions

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

Unnamed Item
Hopf bifurcation in spatially homogeneous and inhomogeneous autocatalysis models
Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
Stability of spatially homogeneous periodic solutions of reaction- diffusion equations
Steady state in a cross-diffusion predator-prey model with the Beddington-DeAngelis functional response
Turing patterns in a diffusive epidemic model with saturated infection force
Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion
Vegetation pattern formation of a water-biomass model
Effect of hunting cooperation on the dynamic behavior for a diffusive Holling type II predator-prey model
Turing instability of the periodic solutions for the diffusive Sel'kov model with saturation effect
Dynamics of periodic solutions in the reaction-diffusion glycolysis model: mathematical mechanisms of Turing pattern formation
Computational analysis on Hopf bifurcation and stability for a consumer-resource model with nonlinear functional response
Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling
Turing instability of the periodic solution for a generalized diffusive Maginu model
Competition of Spatial and Temporal Instabilities under Time Delay near Codimension-Two Turing—Hopf Bifurcations
Vegetation Pattern Formation and Transition Caused by Cross-Diffusion in a Modified Vegetation-Sand Model
Stationary Patterns of a Predator–Prey Model with Prey-Stage Structure and Prey-Taxis
Two-species nonlocal cross-diffusion models with free boundaries
Positive steady-state solutions for a water-vegetation model with the infiltration feedback effect
Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model
Dynamics of a three-molecule autocatalytic Schnakenberg model with cross-diffusion: Turing patterns of spatially homogeneous Hopf bifurcating periodic solutions
Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect
Positive steady-state solutions for a vegetation-water model with saturated water absorption
Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction-diffusion enzyme reaction model
Early warning of tipping in a chemical model with cross-diffusion via spatiotemporal pattern formation and transition

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