Results 41 to 50 of about 8,750 (185)
Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay
Complexity, 2020 In this research, a continuous nutrient-phytoplankton model with time delay and Michaelis–Menten functional response is discretized to a spatiotemporal discrete model.
Feifan Zhang +4 more
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Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion
Applications in Engineering Science, 2021 This paper focuses on the impact of cross-diffusion for Turing-Hopf instability in a morphochemical model for electrodeposition (DIB) and completes the analysis on the role of cross-diffusion on pattern formation in electrodeposition we recently carried ...
Deborah Lacitignola +2 more
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Spatiotemporal pattern formation in a three-variable CO oxidation reaction model [PDF]
, 2018 The spatiotemporal pattern formation is studied in the catalytic carbon monoxide oxidation reaction that takes into account the diffusion processes over the Pt(110) surface, which may contain structurally different areas. These areas are formed during CO-
Bzovska, I. S., Mryglod, I. M.
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Pattern formation driven by cross--diffusion in a 2D domain
, 2012 In this work we investigate the process of pattern formation in a two dimensional domain for a reaction-diffusion system with nonlinear diffusion terms and the competitive Lotka-Volterra kinetics. The linear stability analysis shows that cross-diffusion,
Gambino, G. +2 more
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Boundary Value Problems, 2019 In this paper, Turing patterns and steady state bifurcation of a diffusive Beddington–DeAngelis-type predator–prey model with density-dependent death rate for the predator are considered.
Hongwu Xu, Shengmao Fu
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Turbulent patterns in wall-bounded flows: a Turing instability? [PDF]
, 2012 In their way to/from turbulence, plane wall-bounded flows display an interesting transitional regime where laminar and turbulent oblique bands alternate, the origin of which is still mysterious.
Manneville, Paul
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Turing bifurcation in nonlinear competition models with delay [PDF]
Quarterly of Applied Mathematics, 1996 Turing instability in reaction-diffusion and predator-prey models including diffusion and Volterra-type distributed delays in the interspecies interaction terms is considered. For general functional forms of the reaction terms/prey birth rate-predator death rate, and delays modeled by the “weak” generic kernel a exp
Choudhury, S. Roy, Fosser, C.
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Instabilities and Patterns in Coupled Reaction-Diffusion Layers
, 2012 We study instabilities and pattern formation in reaction-diffusion layers that are diffusively coupled. For two-layer systems of identical two-component reactions, we analyze the stability of homogeneous steady states by exploiting the block symmetric ...
Catlla, Anne J. +2 more
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Turing Instability and Turing–Hopf Bifurcation in Diffusive Schnakenberg Systems with Gene Expression Time Delay [PDF]
Journal of Dynamics and Differential Equations, 2018 For delayed reaction-diffusion Schnakenberg systems with Neumann boundary conditions, critical conditions for Turing instability are derived, which are necessary and sufficient. And existence conditions for Turing, Hopf and Turing-Hopf bifurcations are established.
Jiang, Weihua, Wang, Hongbin, Cao, Xun
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Drifting Pattern Domains in a Reaction-Diffusion System with Nonlocal Coupling
, 2000 Drifting pattern domains (DPDs), moving localized patches of traveling waves embedded in a stationary (Turing) pattern background and vice versa, are observed in simulations of a reaction-diffusion model with nonlocal coupling.
Baer, Markus +3 more
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