Results 21 to 30 of about 2,019 (179)
Discrete Dynamics in Nature and Society, 2022 A delayed diffusive predator-prey model with predator interference or foraging facilitation is studied. We are interested in the existence of Turing instability, local stability, and Hopf bifurcation. We analyze the direction and stability of bifurcating
Wenlong Wang, Zijun Liu, Ruizhi Yang
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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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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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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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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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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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Backward Parabolicity, Cross-Diffusion and Turing Instability [PDF]
Journal of Nonlinear Science, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moussa, Ayman +2 more
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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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