Results 101 to 110 of about 2,929 (211)
Gene expression time delays & Turing pattern formation systems
, 2006 The incorporation of time delays can greatly affect the behaviour of partial differential equations and dynamical systems. In addition, there is evidence that time delays in gene expression due to transcription and translation play an important role in ...
Gaffney, Eamonn +5 more
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Delay-induced Turing instability in reaction-diffusion equations
, 2014 Time delays have been commonly used in modeling biological systems and can significantly change the dynamics of these systems. Quite a few works have been focused on analyzing the effect of small delays on the pattern formation of biological systems.
Hong Zang (615507) +1 more
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Differential flow induced transition of Hopf instability to Turing instability and pattern formation
, 2005 An external electric field may affect mass transport in a reaction-diffusion system. We show that a symmetry breaking instability leading to formation of spatial structures may result in when a constant external electric field normal to the reaction ...
Riaz, Syed Shahed +2 more
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The Turing bifurcation in network systems: Collective patterns and single differentiated nodes [PDF]
, 2012 We study the emergence of patterns in a diffusively coupled network that undergoes a Turing instability. Our main focus is the emergence of stable solutions with a single differentiated node in systems with large and possibly irregular network topology ...
Wolfrum, Matthias
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Discrete Dynamics in Nature and Society, 2013 The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition are investigated analytically and numerically.
Bo Yang
doaj +1 more source
Wavelength selection beyond turing
, 2017 Spatial patterns arising spontaneously due to internal processes are ubiquitous in nature, varying from periodic patterns of dryland vegetation to complex structures of bacterial colonies.
Tzuk, Omer +3 more
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MathematicsHost–parasitoid systems are an essential area of research in ecology and evolutionary biology due to their widespread occurrence in nature and significant impact on species evolution, population dynamics, and ecosystem stability.
Shuo Liang, Wenlong Wang, Chunrui Zhang
doaj +1 more source
Complexity, 2019 The topic of utilizing coupled map lattice to investigate complex spatiotemporal dynamics has attracted a lot of interest. For exploring the spatiotemporal complexity of a predator-prey system with migration and diffusion, a new three-chain coupled map ...
Tousheng Huang +5 more
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Characterization of Turing diffusion-driven instability on evolving domains
, 2012 In this paper we establish a general theoretical framework for Turing diffusion-driven instability for reaction-diffusion systems on time-dependent evolving domains.
Anotida Madzvamuse (4461052) +2 more
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Stochastic turing patterns on a network
, 2012 The process of stochastic Turing instability on a scale-free network is discussed for a specific case study: the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes outside the ...
Asslani M., Fanelli D., Di Patti F.
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