Turing patterns in simplicial complexes
The spontaneous emergence of patterns in nature, such as stripes and spots, can be
mathematically explained by reaction-diffusion systems. These patterns are often referred as …
mathematically explained by reaction-diffusion systems. These patterns are often referred as …
Turing patterns of Gierer–Meinhardt model on complex networks
Abstract Gierer–Meinhardt (G–M) model is a classical reaction diffusion (RD) model to
describe biological and chemical phenomena. Turing patterns of G–M model in continuous …
describe biological and chemical phenomena. Turing patterns of G–M model in continuous …
Cross-diffusion-induced patterns in an SIR epidemic model on complex networks
Infectious diseases are a major threat to global health. Spatial patterns revealed by
epidemic models governed by reaction–diffusion systems can serve as a potential trend …
epidemic models governed by reaction–diffusion systems can serve as a potential trend …
Turing instability induced by random network in FitzHugh-Nagumo model
Although there is general agreement that the network plays an essential role in the
biological system, how the connection probability of network affects the natural model …
biological system, how the connection probability of network affects the natural model …
Pattern mechanism in stochastic SIR networks with ER connectivity
The diffusion of the susceptible and infected is a vital factor in spreading infectious diseases.
However, the previous SIR networks cannot explain the dynamical mechanism of periodic …
However, the previous SIR networks cannot explain the dynamical mechanism of periodic …
Turing instability in the reaction-diffusion network
It is an established fact that a positive wave number plays an essential role in Turing
instability. However, the impact of a negative wave number on Turing instability remains …
instability. However, the impact of a negative wave number on Turing instability remains …
Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation
Hyperbolic reaction–diffusion equations have recently attracted attention both for their
application to a variety of biological and chemical phenomena, and for their distinct features …
application to a variety of biological and chemical phenomena, and for their distinct features …
Optimal control of networked reaction–diffusion systems
Patterns in nature are fascinating both aesthetically and scientifically. Alan Turing's
celebrated reaction–diffusion model of pattern formation from the 1950s has been extended …
celebrated reaction–diffusion model of pattern formation from the 1950s has been extended …
Pattern dynamics in the epidemic model with diffusion network
It is well known that the outbreak of infectious diseases is affected by the diffusion of the
infected. However, the diffusion network is seldom considered in the network-organized SIR …
infected. However, the diffusion network is seldom considered in the network-organized SIR …
Turing patterns in a predator–prey model on complex networks
C Liu, L Chang, Y Huang, Z Wang - Nonlinear Dynamics, 2020 - Springer
Predator–prey model with modified Leslie–Gower and Holling type III schemes governed by
reaction–diffusion equations can exhibit diversified pattern formations. Considering that …
reaction–diffusion equations can exhibit diversified pattern formations. Considering that …