Amplitude death in multiplex networks with competing attractive and repulsive interactions

Zhao, Nannan; Sun, Zhongkui; Song, Xueli; Xiao, Yuzhu

doi:10.1016/j.physa.2022.128288

Cited by 5 publications

(2 citation statements)

References 47 publications

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“…Recent advances in network system dynamics have led to a proliferation of studies that based on the application of complex networks in nonlinear science, sociology, biology, and other fields [13][14][15][16][17][18]. In particular, studies over the past decades have offered critical information on the study of disease transmission modeling on complex networks.…”

Section: Introductionmentioning

confidence: 99%

Impact of asymptomatic cases and human mobility on epidemic propagation in an SAIS network model

Zhang,

Sun,

Liu

2024

Nonlinear Dyn

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The impact of population mobility is nonnegligible on the spread of infectious diseases. In this study, we construct a network SIS model that accounts for the impact of population mobility between regions, using a nonlinear infection rate and dividing the infected into symptomatic and asymptomatic groups. First, the study analyses the stability of equilibrium points by constructing the Lyapunov function and validating it using numerical experiments. Secondly, a special form of the basic regeneration number was attained using the next generation matrix method. This result inspires us to pay more attention to asymptomatic infections in the disease control process so that we can stabilize the population to a state where asymptomatic infections are extinct as quickly as possible and facilitate the subsequent epidemic control. Additionally, the results of numerical simulations further demonstrate that for people with different degrees, we can adopt corresponding ideas respectively to determine the optimal movement rate, which will avoid disease infection to a greater extent. Our study will serve as a guide for the development of infectious disease prevention and control policies.

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Section: Introductionmentioning

confidence: 99%

Impact of asymptomatic cases and human mobility on epidemic propagation in an SAIS network model

Zhang,

Sun,

Liu

2024

Nonlinear Dyn

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“…Also, the occurrence of explosive transitions was recently proved by utilizing these mixed couplings [32,33]. Furthermore, such coupling strategies were implemented as nonlinear couplings or extended to multilayer networks [34,35].…”

Section: Introductionmentioning

confidence: 99%

Collective Dynamical Behaviors of Nonlocally Coupled Brockett Oscillators

Ramadoss¹,

Premraj

Rajagopal

et al. 2023

Mathematical Problems in Engineering

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In this study, we consider a network of nonlocally coupled Brockett oscillators (BOs) with attractive and repulsive (AR) couplings to illustrate the existence of diverse collective dynamical behaviors, whereas previous studies solely concentrated on synchronization. In the absence of coupling, the individual BO oscillator shows stable periodic oscillations (POs) or stable steady state (SS) depending on the critical values of the parameters. We first begin by examining the collective dynamics by setting the critical value of the parameters at the active (PO) region. A diverge collective dynamical states are manifested for a fixed nonlocal coupling range with rising coupling magnitude. Notably, the lower coupling strength exhibits two distinct dynamical patterns at lower and higher transients. At lesser transients, for example, transient dynamics of desynchronization, chimera, and traveling wave states are observed. At larger time periods, the transient dynamics disappear with the emergence of a synchronized state. Increasing the coupling strength results in a unique state of traveling wave or synchronized state for smaller and larger time periods depending on the coupling strength. Increasing the coupling strength further gives rise to clustering behaviors. Importantly, the considered system attains cluster oscillation death (COD) through a cluster oscillatory state (COS). Finally, there exists a chimera death at a larger coupling strength. The observed dynamical transitions are further demonstrated through the two-parameter analysis by setting different critical thresholds.

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Delay-induced amplitude death in multiplex oscillator network with frequency-mismatched layers

Konishi,

Yoshida,

Sugitani

et al. 2024

Phys. Rev. E

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Amplitude death in multiplex networks with competing attractive and repulsive interactions

Cited by 5 publications

References 47 publications

Impact of asymptomatic cases and human mobility on epidemic propagation in an SAIS network model

Impact of asymptomatic cases and human mobility on epidemic propagation in an SAIS network model

Collective Dynamical Behaviors of Nonlocally Coupled Brockett Oscillators

Delay-induced amplitude death in multiplex oscillator network with frequency-mismatched layers

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