Results 91 to 100 of about 9,418 (264)
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
doaj +1 more source
Square Turing patterns in reaction-diffusion systems with coupled layers
, 2014 Square Turing patterns are usually unstable in reaction-diffusion systems and are rarely observed in corresponding experiments and simulations. We report here an example of spontaneous formation of square Turing patterns with the Lengyel-Epstein model of
Wang, Hongli +5 more
core +1 more source
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.This work developed a low‐temperature sludge hydrothermal coupled with gel crosslinking strategy which could upgrade the waste liquid generated from sewage sludge hydrothermal treatment into the hydrothermal‐liquid‐gel. The inventive hydrothermal‐liquid‐gel exhibited the enhanced pollutant removal capability, high synthetic stability, and superior ...
Zifan Liu +12 more
wiley +1 more source
Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator
Discrete Dynamics in Nature and Society, 2013 The reaction-diffusion Holling-Tanner prey-predator model considering the Allee effect on predator, under zero-flux boundary conditions, is discussed. Some properties of the solutions, such as dissipation and persistence, are obtained.
Xiaoqin Wang, Yongli Cai, Huihai Ma
doaj +1 more source
Noise–Seeded Developmental Pattern Formation in Filamentous Cyanobacteria
Life, 2018 Under nitrogen-poor conditions, multicellular cyanobacteria such as Anabaena sp. PCC 7120 undergo a process of differentiation, forming nearly regular, developmental patterns of individual nitrogen-fixing cells, called heterocysts, interspersed between ...
Rinat Arbel-Goren +3 more
doaj +1 more source
The Turing Model for Biological Pattern Formation [PDF]
, 2019 How spatial patterning arises in biological systems is still an unresolved mystery. Here, we consider the first model for spatial pattern formation, proposed by Alan Turing, which showed that structure could emerge from processes that, in themselves, are non-patterning.
Maini, Philip K., Woolley, Thomas
openaire +2 more sources
Pattern formation and travelling waves in reaction-diffusion equations [PDF]
This thesis is about pattern formation in reaction - diffusion equations, particularly Turing patterns and travelling waves. In chapter one we concentrate on Turing patterns.
Fullwood, Timothy Brent
core
Foundation Models in Diagnosis of Ophthalmic Diseases: Construction and Application
Eye &ENT Research, EarlyView.ABSTRACT Artificial intelligence holds promise for addressing the uneven distribution of medical resources across different regions. Compared with convolutional neural network models, foundation models offer significant advantages: on one hand, their pre‐training does not rely on massive labeled data; on the other hand, they possess the capability to ...
Xiaolu Huang +7 more
wiley +1 more source
A Nonlinear Cross-Diffusion Model for Disease Spread: Turing Instability and Pattern Formation
MathematicsIn this article, we propose a novel nonlinear cross-diffusion framework to model the distribution of susceptible and infected individuals within their habitat using a reduced SIR model that incorporates saturated incidence and treatment rates.
Ravi P. Gupta +2 more
doaj +1 more source