Results 101 to 110 of about 8,750 (185)

Spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling

Nonlinear Analysis
In this paper, we investigate the spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling. We first study the stability of positive equilibrium and Turing instability induced by diffusion.
Yun Yang, Yanfei Du
doaj   +1 more source

Turing pattern dynamics in a fractional-diffusion oregonator model under PD control

Nonlinear Analysis
In this paper, fractional-order diffusion and proportional-derivative (PD) control are introduced in oregonator model, and the Turing pattern dynamics is investigated for the first time.
Hongliang Li, Yi Yao, Min Xiao, Zhen Wang, Leszek Rutkowski   +4 more
doaj   +1 more source

Amplitude equation for a diffusion-reaction system: The reversible Sel'kov model

AIP Advances, 2012
For a model glycolytic diffusion-reaction system, an amplitude equation has been derived in the framework of a weakly nonlinear theory. The linear stability analysis of this amplitude equation interprets the structural transitions and stability of ...
A. K. Dutt
doaj   +1 more source

UEG Week 2025 Poster Presentations

United European Gastroenterology Journal, Volume 13, Issue S8, Page S803-S1476, October 2025.
wiley   +1 more source

The evasion of tipping: Pattern formation near a Turing-fold bifurcation

Physica D: Nonlinear Phenomena
Model studies indicate that many climate subsystems, especially ecosystems, may be vulnerable to 'tipping': a 'catastrophic process' in which a system, driven by gradually changing external factors, abruptly transitions (or 'collapses') from a preferred state to a less desirable one.
Staal, Dock, Doelman, Arjen
openaire   +2 more sources

Analyzing diffusive vegetation-sand model: Instability, bifurcation, and pattern formation

Electronic Research Archive
In this study, we explored a diffusive vegetation-sand model with Neumann boundary conditions, investigating the role of Turing instability in vegetation pattern formation.
Gaihui Guo, Xinyue Zhang, Jichun Li, Tingting Wei   +3 more
doaj   +1 more source

Dihedral rings of patterns emerging from a Turing bifurcation

Nonlinearity
Abstract Collective organisation of patterns into ring-like configurations has been well-studied when patterns are subject to either weak or semi-strong interactions. However, little is known numerically or analytically about their formation when the patterns are strongly interacting.
Dan J Hill, Jason J Bramburger, David J B Lloyd   +2 more
openaire   +3 more sources

Turing conditions for a two-component isotropic growing system from a potential function

Results in Applied Mathematics
We analyze pattern formation in a two-component system within an isotropically growing or shrinking domain. By studying the evolution of a Lyapunov-like function, we derive time-dependent Turing bifurcation conditions through a stability analysis of ...
Aldo Ledesma-Durán, Consuelo García-Alcántara, Iván Santamaría-Holek   +2 more
doaj   +1 more source

Turing and Hopf bifurcation of Gierer-Meinhardt activator-substrate model

Electronic Journal of Differential Equations, 2017
Gierer-Meinhardt model acts as one of prototypical reaction diffusion systems describing pattern formation phenomena in natural events. Bifurcation analysis, including theoretical and numerical analysis, is carried out on the Gierer-Meinhardt ...
Ranchao Wu, Yan Shao, Yue Zhou, Liping Chen   +3 more
doaj  

Stabilising spatiotemporal dynamics of mussel-algae coupled map lattices model via proportional-differential control. [PDF]

J Math Biol
Zhu Y, Ma X, Wang J, Frascoli F, Zhang T.   +4 more
europepmc   +1 more source