Results 101 to 110 of about 8,745 (203)
Amplitude equation for a diffusion-reaction system: The reversible Sel'kov model
AIP Advances, 2012 For a model glycolytic diffusion-reaction system, an amplitude equation has been derived in the framework of a weakly nonlinear theory. The linear stability analysis of this amplitude equation interprets the structural transitions and stability of ...
A. K. Dutt
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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
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A diffusive predator-prey system with prey refuge and gestation delay
Advances in Difference Equations, 2017 The dynamics of a diffusive predator-prey system with prey refuge and gestation delay is investigated in this paper. For a non-delay system, global stability, Turing instability and Hopf bifurcation are studied.
Ruizhi Yang, Haoyu Ren, Xue Cheng
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Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion
Discrete Dynamics in Nature and Society, 2013 We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
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Turing conditions for a two-component isotropic growing system from a potential function
Results in Applied MathematicsWe analyze pattern formation in a two-component system within an isotropically growing or shrinking domain. By studying the evolution of a Lyapunov-like function, we derive time-dependent Turing bifurcation conditions through a stability analysis of ...
Aldo Ledesma-Durán +2 more
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The evasion of tipping: Pattern formation near a Turing-fold bifurcation
Physica D: Nonlinear PhenomenaModel studies indicate that many climate subsystems, especially ecosystems, may be vulnerable to 'tipping': a 'catastrophic process' in which a system, driven by gradually changing external factors, abruptly transitions (or 'collapses') from a preferred state to a less desirable one.
Staal, Dock, Doelman, Arjen
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Turing and Hopf bifurcation of Gierer-Meinhardt activator-substrate model
Electronic Journal of Differential Equations, 2017 Gierer-Meinhardt model acts as one of prototypical reaction diffusion systems describing pattern formation phenomena in natural events. Bifurcation analysis, including theoretical and numerical analysis, is carried out on the Gierer-Meinhardt ...
Ranchao Wu +3 more
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Dihedral rings of patterns emerging from a Turing bifurcation
NonlinearityAbstract Collective organisation of patterns into ring-like configurations has been well-studied when patterns are subject to either weak or semi-strong interactions. However, little is known numerically or analytically about their formation when the patterns are strongly interacting.
Dan J Hill +2 more
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Numerical bifurcation analysis of turing and symmetry broken patterns of a PDE model for vegetation dynamics. [PDF]
J Math BiolSpiliotis K +3 more
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PREDATOR-PREY MODELS: BIFURCATIONS, CROSS-DIFFUSION AND TURING INSTABILITY
, 2017 Questa tesi riguarda modelli differenziali preda-predatore, trattati inizialmente nel caso spazialmente omogeneo e successivamente considerando la diffusione spaziale. Dal punto di vista matematico pertanto vengono considerati sistemi di equazioni differenziali ordinarie e di equazioni differenziali alle derivate parziali di tipo parabolico.
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