Results 21 to 30 of about 168,933 (177)
Turing Patterns in Forced Open Two‐Side‐Fed‐Reactor
Advanced Theory and Simulations, Volume 6, Issue 9, September 2023., 2023 Numerical methods explore the dynamics of pulsating spots in a forced Two‐Side‐Fed reactor. Spot patterns can survive large amplitude forcing, and the dynamics are strongly determined by the effect of the tanks and the chemical gradients that localize the patterns. Abstract The mechanism suggested by Turing for reaction‐diffusion systems is widely used
László Mihály Grób +2 more
wiley +1 more source
Turing Instability and Turing–Hopf Bifurcation in Diffusive Schnakenberg Systems with Gene Expression Time Delay [PDF]
Journal of Dynamics and Differential Equations, 2018 In this paper, we study the delayed reaction–diffusion Schnakenberg systems with Neumann boundary conditions. Sufficient and necessary conditions for the occurrence of Turing instability are obtained, and the existence of Turing, Hopf and Turing–Hopf ...
Weihua Jiang, Hongbin Wang, Xun Cao
semanticscholar +2 more sources
Studies in Applied Mathematics, Volume 150, Issue 3, Page 899-958, April 2023., 2023 Abstract Cross‐diffusion effects and tactic interactions are the processes that preys move away from the highest density of predators preferentially, or vice versa. It is renowned that these effects have played significant roles in ecology and biology, which are also essential to the maintenance of diversity of species.
Demou Luo, Qiru Wang, Li Chen
wiley +1 more source
Stationary localised patterns without Turing instability
Mathematical Methods in the Applied Sciences, Volume 45, Issue 16, Page 9111-9129, 15 November 2022., 2022 Since the pioneering work of Turing, it has been known that diffusion can destablise a homogeneous solution that is stable in the underlying model in the absence of diffusion. The destabilisation of the homogeneous solutions leads to the generation of patterns.
Fahad Al Saadi +3 more
wiley +1 more source
Pulse Dynamics in a Bistable Reaction‐Diffusion System with Chemotaxis
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 We consider pulse dynamics in a bistable reaction‐diffusion system with chemotaxis. We derive the ordinary differential equation of interfaces by applying the multiple scales method to the reaction‐diffusion system for examining the effect of the chemotaxis on pulse dynamics in one dimension.
Satoshi Kawaguchi, Kang-Jia Wang
wiley +1 more source
Mathematical Biosciences and Engineering, 2023 The effects of predator-taxis and conversion time delay on formations of spatiotemporal patterns in a predator-prey model are explored. First, the well-posedness, which implies global existence of classical solutions, is proved.
Yue Xing, Weihua Jiang, Xun Cao
doaj +1 more source
Complexity, Volume 2022, Issue 1, 2022., 2022 In this paper, we put forward a time‐delay ecological competition system with food restriction and diffusion terms under Neumann boundary conditions. For the case without delay, the conditions for local asymptotic stability and Turing instability are constructed.
Feilong Wang +6 more
wiley +1 more source
Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion
Advances in Difference Equations, 2019 In this paper, the Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion and Neumann boundary condition is considered. Firstly, we present a kind of double parameters selection method, which can be used to analyze the Turing ...
Qiushuang Shi, Ming Liu, Xiaofeng Xu
doaj +1 more source
Differential susceptibility to noise of mixed Turing and Hopf modes in a photosensitive chemical medium [PDF]
, 2007 We report on experiments with the photosensitive chlorine dioxide-iodine-malonic acid reaction (CDIMA) when forced with a random (spatiotemporally) distributed illumination. Acting on a mixed mode consisting of oscillating spots, close enough to the Hopf
Alonso Muñoz, Sergio +2 more
core +1 more source
Computational and Mathematical Methods in Medicine, Volume 2022, Issue 1, 2022., 2022 Human immunodeficiency virus (HIV) infection affects the immune system, particularly white blood cells known as CD4+ T‐cells. HIV destroys CD4+ T‐cells and significantly reduces a human’s resistance to viral infectious diseases as well as severe bacterial infections, which can lead to certain illnesses.
Attaullah +5 more
wiley +1 more source