Results 11 to 20 of about 115,920 (230)
Stochastic Turing patterns in the Brusselator model [PDF]
Physical Review E, 2010 A stochastic version of the Brusselator model is proposed and studied via the system size expansion. The mean-field equations are derived and shown to yield to organized Turing patterns within a specific parameters region.
A. M. Zhabotinsky +8 more
core +5 more sources
Instability of turing patterns in reaction-diffusion-ODE systems. [PDF]
J Math Biol, 2017 The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations.
Marciniak-Czochra A, Karch G, Suzuki K.
europepmc +2 more sources
Dynamics of Turing patterns under spatio-temporal forcing [PDF]
Physical Review Letters, 2003 We study, both theoretically and experimentally, the dynamical response of Turing patterns to a spatio-temporal forcing in the form of a travelling wave modulation of a control parameter.
A. P. Muñuzuri +9 more
core +6 more sources
Pattern Formation on Networks: from Localised Activity to Turing Patterns. [PDF]
Sci Rep, 2016 AbstractNetworks of interactions between competing species are used to model many complex systems, such as in genetics, evolutionary biology or sociology and knowledge of the patterns of activity they can exhibit is important for understanding their behaviour.
McCullen N, Wagenknecht T.
europepmc +6 more sources
Turing and Non-Turing patterns in diffusive plankton model [PDF]
Computational Ecology and Software, 2015 In this paper, we investigate a Rosenzweig-McAurthur model and its variant for phytoplankton, zooplankton and fish population dynamics with Holling type II and III functional responses.
N. K. Thakur, R. Gupta, R. K. Upadhyay
doaj +1 more source
Mathematics, 2023 With the rapid development of network science, Turing patterns on complex networks have attracted extensive attention from researchers. In this paper, we focus on spatial patterns in multiplex ER (Erdös-Rényi) random networks, taking the predator–prey ...
Lei Shi, Jiaying Zhou, Yong Ye
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Transient Turing patterns in a morphogenetic model
Frontiers in Physics, 2022 One of the most surprising mechanisms to explain the symmetry breaking phenomenon linked to pattern formation is known as Turing instabilities. These patterns are self-organising spatial structures resulting from the interaction of at least two diffusive
Nara Guisoni, Luis Diambra
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Bifurcations and Turing patterns in a diffusive Gierer–Meinhardt model
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, the Hopf bifurcations and Turing bifurcations of the Gierer–Meinhardt activator-inhibitor model are studied. The very interesting and complex spatially periodic solutions and patterns induced by bifurcations are analyzed from both ...
Yong Wang, Mengping Guo, Weihua Jiang
doaj +1 more source
Mathematical Biosciences and Engineering, 2023 The effects of predator-taxis and conversion time delay on formations of spatiotemporal patterns in a predator-prey model are explored. First, the well-posedness, which implies global existence of classical solutions, is proved.
Yue Xing, Weihua Jiang, Xun Cao
doaj +1 more source
Turing Patterning in Stratified Domains [PDF]
Bulletin of Mathematical Biology, 2020 AbstractReaction–diffusion processes across layered media arise in several scientific domains such as pattern-formingE. colion agar substrates, epidermal–mesenchymal coupling in development, and symmetry-breaking in cell polarization. We develop a modeling framework for bilayer reaction–diffusion systems and relate it to a range of existing models.
Andrew L. Krause +6 more
openaire +4 more sources