Pattern Dynamics in a Diffusive Gierer–Meinhardt Model

Dynamics Analysis in a Gierer–Meinhardt Reaction–Diffusion Model with Homogeneous Neumann Boundary Condition

(2019) Xiang-Ping Yan et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Turing Patterns of a Lotka–Volterra Competitive System with Nonlocal Delay

(2018) Bang-Sheng Han et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system

(2018) Jinliang Wang et al.   CHAOS SOLITONS & FRACTALS

Pattern selection in a predator-prey model with Michaelis–Menten type nonlinear predator harvesting

(2018) Mengxin Chen et al.   Ecological Complexity

Global existence and finite time blow-up of solutions of a Gierer–Meinhardt system

(2017) Fang Li et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Stripe and spot patterns for the Gierer–Meinhardt model with saturated activator production

(2017) You Li et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Bifurcation and Turing patterns of reaction–diffusion activator–inhibitor model

(2017) Ranchao Wu et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime

(2017) Iain R. Moyles et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model

(2017) Nabil T. Fadai et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Explicitly solvable eigenvalue problem and bifurcation delay in sub-diffusive Gierer–Meinhardt model

(2016) YANA NEC   EUROPEAN JOURNAL OF APPLIED MATHEMATICS

Spatial resonance and Turing–Hopf bifurcations in the Gierer–Meinhardt model

(2016) Rui Yang et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Turing Pattern Formation in a Semiarid Vegetation Model with Fractional-in-Space Diffusion

(2015) Canrong Tian   BULLETIN OF MATHEMATICAL BIOLOGY

Pattern formation and spatiotemporal chaos in a reaction–diffusion predator–prey system

(2015) Guangping Hu et al.   NONLINEAR DYNAMICS

On global existence for the Gierer-Meinhardt system

(2014) Henghui Zou   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Bifurcation analysis of the Gierer–Meinhardt system with a saturation in the activator production

(2013) Shanshan Chen et al.   APPLICABLE ANALYSIS

An Explicit Theory for Pulses in Two Component, Singularly Perturbed, Reaction–Diffusion Equations

(2013) Arjen Doelman et al.   Journal of Dynamics and Differential Equations

Simulating the formation of spiral wave in the neuronal system

(2013) Jun Ma et al.   NONLINEAR DYNAMICS

Chaos control, spiral wave formation, and the emergence of spatiotemporal chaos in networked Chua circuits

(2011) Chun-Ni Wang et al.   NONLINEAR DYNAMICS

Skew-varicose instability in two-dimensional generalized Swift-Hohenberg equations

(2011) J. A. Weliwita et al.   PHYSICAL REVIEW E

MULTIPLE BIFURCATION ANALYSIS AND SPATIOTEMPORAL PATTERNS IN A 1-D GIERER–MEINHARDT MODEL OF MORPHOGENESIS

(2010) JIANXIN LIU et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS