[HTML][HTML] Pattern formation and bifurcation analysis of delay induced fractional-order epidemic spreading on networks

J Zhou, Y Ye, A Arenas, S Gómez, Y Zhao - Chaos, Solitons & Fractals, 2023 - Elsevier
The spontaneous emergence of ordered structures, known as Turing patterns, in complex
networks is a phenomenon that holds potential applications across diverse scientific fields …

Pattern mechanism in stochastic SIR networks with ER connectivity

Q Zheng, J Shen, Y Xu, V Pandey, L Guan - Physica A: Statistical …, 2022 - Elsevier
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 …

Pinning bipartite synchronization for coupled reaction–diffusion neural networks with antagonistic interactions and switching topologies

B Miao, X Li, J Lou, J Lu - Neural Networks, 2021 - Elsevier
In this paper, the bipartite synchronization issue for a class of coupled reaction–diffusion
networks with antagonistic interactions and switching topologies is investigated. First of all …

Pattern dynamics in the epidemic model with diffusion network

Q Zheng, V Pandey, J Shen, Y Xu, L Guan - Europhysics Letters, 2022 - iopscience.iop.org
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 …

Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions

Z Li, Y Song, C Wu - Nonlinear Dynamics, 2023 - Springer
In the present paper, a spatially discretized diffusive Brusselator model with zero-flux
boundary conditions is considered. Firstly, the global existence and uniqueness of the …

Turing instability in a network-organized epidemic model with delay

Q Zheng, J Shen, V Pandey, L Guan, Y Guo - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, we show the impact of both network and time delays on Turing instability and
demarcate the role of diffusion in the epidemic. The stability and bifurcation of equilibrium …

Spatiotemporal dynamics of periodic waves in SIR model with driving factors

QQ Zheng, JW Shen, V Pandey, YM Zhao… - New Journal of …, 2023 - iopscience.iop.org
The world faces Covid-19 waves, and the overall pattern of confirmed cases shows periodic
oscillations. In this paper, we investigate the spatiotemporal spread of Covid-19 in the …

A time independent least squares algorithm for parameter identification of Turing patterns in reaction–diffusion systems

L Chang, X Wang, G Sun, Z Wang, Z Jin - Journal of Mathematical Biology, 2024 - Springer
Turing patterns arising from reaction–diffusion systems such as epidemic, ecology or
chemical reaction models are an important dynamic property. Parameter identification of …

The qualitative and quantitative relationships between pattern formation and average degree in networked reaction-diffusion systems

L Chang, L Guo, C Liu, Z Wang, G Sun - Chaos: An Interdisciplinary …, 2022 - pubs.aip.org
The Turing pattern is an important dynamic behavior characteristic of activator–inhibitor
systems. Differentiating from traditional assumption of activator–inhibitor interactions in a …

Bifurcation and dynamics in double-delayed Chua circuits with periodic perturbation

W Yang - Chinese Physics B, 2022 - iopscience.iop.org
Rank-1 attractors play a vital role in biological systems and the circuit systems. In this paper,
we consider a periodically kicked Chua model with two delays in a circuit system. We first …