Pattern formation in a reaction-diffusion-ODE model with hysteresis in spatially heterogeneous environments

DOI10.1016/J.JDE.2021.01.035zbMath1459.35031OpenAlexW3126315465MaRDI QIDQ2656307

Izumi Takagi, Conghui Zhang

Publication date: 11 March 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.01.035

zbMATH Keywords

hysteresisstabilityasymptotic behaviortransition layer

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Ecology (92D40) Research exposition (monographs, survey articles) pertaining to biology (92-02) Pattern formations in context of PDEs (35B36)

Related Items (7)

Discontinuous stationary solutions to certain reaction-diffusion systems ⋮ Instability of all regular stationary solutions to reaction-diffusion-ODE systems ⋮ Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis ⋮ Stable discontinuous stationary solutions to reaction-diffusion-ODE systems ⋮ Steady States with Jump Discontinuity in a Receptor-Based Model with Hysteresis in Higher-Dimensional Domains ⋮ Travelling wave solutions and stationary solutions of a reaction-diffusion-ODE system ⋮ Dynamics of a Reaction-diffusion-ODE System in a Heterogeneous Media

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pattern formation in a diffusion-ODE model with hysteresis.
• Stable patterns with jump discontinuity in systems with Turing instability and hysteresis
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Boundary and interior transition layer phenomena for pairs of second- order differential equations
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media
• Hysteresis-driven pattern formation in reaction-diffusion-ODE systems
• Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis
• Receptor-based models with hysteresis for pattern formation in hydra
• Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter
• Spatial Ecology via Reaction‐Diffusion Equations
• The chemical basis of morphogenesis
• Receptor-Based Models with Diffusion-Driven Instability for Pattern Formation in Hydra

This page was built for publication: Pattern formation in a reaction-diffusion-ODE model with hysteresis in spatially heterogeneous environments