Results 31 to 40 of about 2,929 (211)
Turing instabilities in a mathematical model for signaling networks [PDF]
Journal of Mathematical Biology, 2011 GTPase molecules are important regulators in cells that continuously run through an activation/deactivation and membrane-attachment/membrane-detachment cycle. Activated GTPase is able to localize in parts of the membranes and to induce cell polarity.
Rätz, Andreas, Röger, Matthias
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Emergence of Geometric Turing Patterns in Complex Networks
Physical Review X, 2023 Turing patterns, arising from the interplay between competing species of diffusive particles, have long been an important concept for describing nonequilibrium self-organization in nature and have been extensively investigated in many chemical and ...
Jasper van der Kolk +4 more
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Bifurcation, Chaos, and Pattern Formation for the Discrete Predator-Prey Reaction-Diffusion Model
Discrete Dynamics in Nature and Society, 2019 In this paper, a discrete predator-prey system with the periodic boundary conditions will be considered. First, we get the conditions for producing Turing instability of the discrete predator-prey system according to the linear stability analysis.
Lili Meng +3 more
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Diffusion instability in a threevariable reaction-diffusion model [PDF]
Компьютерные исследования и моделирование, 2011 Investigation of occurrence of diffusion instability in a set of three reaction-diffusion equations is carried out. In the general case the condition for both Turing and wave instabilities are obtained.
Maria Yur'evna Borina, A. A. Polezhaev
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New Journal of Physics, 2023 This paper examines the Turing patterns and the spatio-temporal chaos of non-autonomous systems defined on hypergraphs. The analytical conditions for Turing instability and Benjamin–Feir instability are obtained by linear stability analysis using new ...
Wen Wang, Shutang Liu
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Complexity, 2017 Cannibalism, the act of killing and consumption of conspecifics, is generally considered to be a stabilising process in ODE models of predator-prey systems. On the other hand, Sun et al.
Aladeen Al Basheer +3 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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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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Fractal and FractionalIn this paper, we aim to solve the issue of pattern formation mechanisms in a spatiotemporally discrete activator–inhibitor model that incorporates self- and cross-diffusions.
You Li +4 more
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Spatiotemporal dynamics and Turing patterns in an eco-epidemiological model with cannibalism
Results in Control and Optimization, 2022 In this work, we have studied the spatiotemporal dynamics and pattern formation in an eco-epidemiological model with cannibalism, which are not explored in the existing literature.
Vikas Kumar +2 more
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