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Turing instability in quantum activator–inhibitor systems [PDF]
Scientific Reports, 2022 Turing instability is a fundamental mechanism of nonequilibrium self-organization. However, despite the universality of its essential mechanism, Turing instability has thus far been investigated mostly in classical systems.
Yuzuru Kato, Hiroya Nakao
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Graph-theoretic conditions for zero-eigenvalue Turing instability in general chemical reaction networks [PDF]
Mathematical Biosciences and Engineering, 2013 We describe a necessary condition for zero-eigenvalue Turing instability, i.e., Turing instability arising from a real eigenvalue changing sign from negative to positive, for general chemical reaction networks modeled with mass-action kinetics.
Maya Mincheva, Gheorghe Craciun
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Optimal network sizes for most robust Turing patterns [PDF]
Scientific ReportsMany cellular patterns exhibit a reaction-diffusion component, suggesting that Turing instability may contribute to pattern formation. However, biological gene-regulatory pathways are more complex than simple Turing activator-inhibitor models and ...
Hazlam S. Ahmad Shaberi +3 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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Advances in Difference Equations, 2021 In this paper, we investigate the spatiotemporal patterns of a freshwater tussock sedge model with discrete time and space variables. We first analyze the kinetic system and show the parametric conditions for flip and Neimark–Sacker bifurcations ...
You Li +4 more
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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
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Spatiotemporal dynamics for a diffusive mussel–algae model near a Hopf bifurcation point
Advances in Difference Equations, 2021 In this paper, the Hopf bifurcation and Turing instability for a mussel–algae model are investigated. Through analysis of the corresponding kinetic system, the existence and stability conditions of the equilibrium and the type of Hopf bifurcation are ...
Shihong Zhong, Xuehan Cheng, Biao Liu
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Turing Instability in aPathogen Host Immune Model with Diffusion
Journal of Harbin University of Science and Technology, 2021 In order to study the effects of diffusion function on the dynamics between pathogens and host immune cells，a reaction-diffusion model of pathogen-host immune with homogeneous Neumann boundary condition is constructed.
WANGJingnan, YANGDezhong, LULanfen
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Pattern Dynamics in a Predator-Prey Model with Diffusion Network
Complexity, 2022 Diffusion plays an essential role in the distribution of predator and prey. We mainly research the diffusion network’s effect on the predator-prey model through bifurcation.
Wenjie Yang +3 more
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Electronic Research Archive, 2023 In this paper, a three-molecule autocatalytic Schnakenberg model with cross-diffusion is established, the instability of bifurcating periodic solutions caused by diffusion is studied, that is, diffusion can destabilize the stable periodic solutions of ...
Weiyu Li , Hongyan Wang
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