Results 31 to 40 of about 168,933 (177)
Non-linear effects on Turing patterns: time oscillations and chaos. [PDF]
, 2012 We show that a model reaction-diffusion system with two species in a monostable regime and over a large region of parameter space, produces Turing patterns coexisting with a limit cycle which cannot be discerned from the linear analysis. As a consequence,
Aragón, J. L. +4 more
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On a Predator‐Prey Model Involving Age and Spatial Structure
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 In this paper, we study the mathematical analysis of a nonlinear age‐dependent predator–prey system with diffusion in a bounded domain with a non‐standard functional response. Using the fixed point theorem, we first show a global existence result for the problem with spatial variable.
Okana S. Sougué +2 more
wiley +1 more source
Turing pattern formation in the Brusselator system with nonlinear diffusion [PDF]
, 2013 In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solution we determine the Turing and the oscillatory instability boundaries.
Gambino, G. +3 more
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Complexity, Volume 2022, Issue 1, 2022., 2022 A diffusive predator‐prey system with both the additive Allee effect and the fear effect in the prey subject to Neumann boundary conditions is considered in this paper. Firstly, non‐negative and non‐trivial solution a priori estimations are shown. Furthermore, for specific parameter ranges, the absence of non‐constant positive solutions is demonstrated.
Changcheng Ke +3 more
wiley +1 more source
Nonlinear dynamics, 2021 In this paper, we study the Turing–Hopf bifurcation in the predator–prey model with cross-diffusion considering the individual behaviour and herd behaviour transition of prey population subject to homogeneous Neumann boundary condition. Firstly, we study
Yehu Lv
semanticscholar +1 more source
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
doaj +1 more source
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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Diffusion‐driven codimension‐2 Turing–Hopf bifurcation in the general Brusselator model
Mathematical methods in the applied sciences, 2021 In this paper, spatiotemporal dynamics for a general reaction–diffusion system of Brusselator type under the homogeneous Neumann boundary condition is considered. It is shownthat the reaction–diffusion system has a unique steady state solution.
Lei Kong, C. Zhu
semanticscholar +1 more source
Discrete Dynamics in Nature and Society, 2020 The reaction diffusion system is one of the important models to describe the objective world. It is of great guiding importance for people to understand the real world by studying the Turing patterns of the reaction diffusion system changing with the ...
Lianchao Gu +2 more
doaj +1 more source
Labyrinthine Turing Pattern Formation in the Cerebral Cortex [PDF]
, 2002 I propose that the labyrinthine patterns of the cortices of mammalian brains may be formed by a Turing instability of interacting axonal guidance species acting together with the mechanical strain imposed by the interconnecting axons.Comment: See home ...
BAIER +41 more
core +3 more sources