Related references
Note: Only part of the references are listed.Turing-Hopf bifurcation of a delayed diffusive predator-prey system with chemotaxis and fear effect
Binxiang Dai et al.
APPLIED MATHEMATICS LETTERS (2021)
Spike density distribution for the Gierer-Meinhardt model with precursor
Theodore Kolokolnikov et al.
PHYSICA D-NONLINEAR PHENOMENA (2020)
Spatial behavioural responses to the spread of an infectious disease can suppress Turing and Turing-Hopf patterning of the disease
Alberto d'Onofrio et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2020)
Spatio-temporal numerical solutions of the coupled real and complex Ginzburg-Landau amplitude equations for one-dimensional systems near the Turing-Hopf bifurcation
Aldo Ledesma-Duran et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2020)
Turing-Hopf bifurcation of reaction -diffusion neural networks with leakage delay
Jiazhe Lin et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2020)
Some results on the Gierer-Meinhardt model with critical exponent p-1=r
Xianfa Song
APPLIED MATHEMATICS LETTERS (2020)
Stable asymmetric spike equilibria for the Gierer-Meinhardt model with a precursor field
Theodore Kolokolnikov et al.
IMA JOURNAL OF APPLIED MATHEMATICS (2020)
Temporal Forcing Induced Pattern Transitions Near the Turing-Hopf Bifurcation in a Plankton System
Wen Wang et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2020)
Spatiotemporal patterns induced by Turing and Turing-Hopf bifurcations in a predator-prey system
Mengxin Chen et al.
APPLIED MATHEMATICS AND COMPUTATION (2020)
Global existence and blowup solutions for the Gierer-Meinhardt system
Shaohua Chen et al.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2020)
Pattern Dynamics in a Diffusive Gierer-Meinhardt Model
Mengxin Chen et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2020)
Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system
Weiwei Ao et al.
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2019)
Turing Instability and Turing-Hopf Bifurcation in Diffusive Schnakenberg Systems with Gene Expression Time Delay
Weihua Jiang et al.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2019)
Turing-Hopf patterns on growing domains: The torus and the sphere
Faustino Sanchez-Garduno et al.
JOURNAL OF THEORETICAL BIOLOGY (2019)
Spatiotemporal dynamics near the Turing-Hopf bifurcation in a toxic-phytoplankton-zooplankton model with cross-diffusion
Wen Wang et al.
NONLINEAR DYNAMICS (2019)
Blow-up of positive solutions to a singular Gierer-Meinhardt system
Shaohua Chen et al.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2019)
Turing-Hopf bifurcation of a ratio-dependent predator-prey model with diffusion
Qiushuang Shi et al.
ADVANCES IN DIFFERENCE EQUATIONS (2019)
Spatiotemporal dynamics in a ratio-dependent predator-prey model with time delay near the Turing-Hopf bifurcation point
Mengxin Chen et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2019)
Turing-Hopf bifurcation and multi-stable spatio-temporal patterns in the Lengyel-Epstein system
Xianyong Chen et al.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2019)
Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system
Jinliang Wang et al.
CHAOS SOLITONS & FRACTALS (2019)
The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer-Meinhardt Model
Daniel Gomez et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2019)
The explicit solution to the initial boundary value problem of Gierer-Meinhardt model
Xiaowei An et al.
APPLIED MATHEMATICS LETTERS (2018)
Dynamics of pulse solutions in Gierer-Meinhardt model with time dependent diffusivity
Yana Nec
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2018)
Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis
Xia Liu et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2018)
Stable spike clusters for the one-dimensional Gierer-Meinhardt system
Juncheng Wei et al.
EUROPEAN JOURNAL OF APPLIED MATHEMATICS (2017)
Interior and boundary spikes for the two-dimensional Gierer Meinhardt system
Yeyao Hu
JOURNAL OF DIFFERENTIAL EQUATIONS (2017)
Stripe and spot patterns for the Gierer-Meinhardt model with saturated activator production
You Li et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2017)
Pattern dynamics of a Gierer-Meinhardt model with spatial effects
Gui-Quan Sun et al.
NONLINEAR DYNAMICS (2017)
Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer-Meinhardt Model in the Semistrong Regime
Iain R. Moyles et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2017)
Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation
Yongli Song et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2017)
DELAYED REACTION KINETICS AND THE STABILITY OF SPIKES IN THE GIERER-MEINHARDT MODEL
Nabil T. Fadai et al.
SIAM JOURNAL ON APPLIED MATHEMATICS (2017)
Stable spike clusters for the precursor Gierer-Meinhardt system in R2
Juncheng Wei et al.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2017)
Pattern dynamics in a Gierer-Meinhardt model with a saturating term
Yongli Song et al.
APPLIED MATHEMATICAL MODELLING (2017)
EXISTENCE, NONEXISTENCE AND UNIQUENESS OF POSITIVE STATIONARY SOLUTION OF A SINGULAR GIERER-MEINHARDT SYSTEM
Rui Peng et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2017)
Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
Yongli Song et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2016)
The dynamics of the stochastic shadow Gierer-Meinhardt system
Matthias Winter et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2016)
Spatial resonance and Turing-Hopf bifurcations in the Gierer-Meinhardt model
Rui Yang et al.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2016)
Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion
Xiaosong Tang et al.
NONLINEAR DYNAMICS (2016)
Finite time blowup of the stochastic shadow Gierer-Meinhardt System
Fang Li et al.
ELECTRONIC COMMUNICATIONS IN PROBABILITY (2015)
Bifurcation Analysis of a Diffusive Activator-Inhibitor Model in Vascular Mesenchymal Cells
Rui Yang et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2015)
Bifurcation analysis of the Gierer-Meinhardt system with a saturation in the activator production
Shanshan Chen et al.
APPLICABLE ANALYSIS (2014)
Time Delay-Induced Instabilities and Hopf Bifurcations in General Reaction-Diffusion Systems
Shanshan Chen et al.
JOURNAL OF NONLINEAR SCIENCE (2013)
The Influence of Gene Expression Time Delays on Gierer-Meinhardt Pattern Formation Systems
S. Seirin Lee et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2010)
Gene expression time delays and turing pattern formation systems
EA Gaffney et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2006)
On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays
XL Li et al.
CHAOS SOLITONS & FRACTALS (2005)