Bifurcation Analysis of a Reaction–Diffusion Rumor Spreading Model with Nonsmooth Control

L Zhu, W Zheng, X Zhang - International Journal of Bifurcation and …, 2022 - World Scientific
Rumors may cause serious harm to social productivity and life. Studying the dynamics of
rumor propagation can help provide corresponding countermeasures to control …

Spatial dynamics and optimization method for a rumor propagation model in both homogeneous and heterogeneous environment

L Zhu, X Wang, Z Zhang, C Lei - Nonlinear Dynamics, 2021 - Springer
Considering the influence of environmental capacity and forgetting on rumor spreading, we
improve the traditional SIR (susceptible–infected–removed) rumor propagation model and …

Dynamical analysis of a SI epidemic-like propagation model with non-smooth control

L Zhu, W Zheng, S Shen - Chaos, Solitons & Fractals, 2023 - Elsevier
The continuous acceleration of information communication makes the spread of rumors
constantly develop and change. Analysis of the dynamics of rumor propagation allows for its …

Dynamic analysis of a reaction–diffusion rumor propagation model

H Zhao, L Zhu - International Journal of Bifurcation and Chaos, 2016 - World Scientific
The rapid development of the Internet, especially the emergence of the social networks,
leads rumor propagation into a new media era. Rumor propagation in social networks has …

Dynamics of a reaction-diffusion rumor propagation model with non-smooth control

Y Ke, L Zhu, P Wu, L Shi - Applied Mathematics and Computation, 2022 - Elsevier
To reflect the government and media refutation to rumor propagation, we have established a
reaction-diffusion rumor propagation model by considering a non-smooth control function …

The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions

Y Xia, H Jiang, S Yu, Z Yu - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
Rumor spreading occurs not only between two individuals but also among multiple
individuals or influenced by groups. However, pairwise interactions in complex networks are …

A rumor spreading multi-delay model with delay-dependent parameter

S Li, X Zhang, Q An - Mathematics and Computers in Simulation, 2024 - Elsevier
This study presents a novel delayed rumor spreading model that incorporates a general
contact function. We determine the reproduction number, denoted as ℛ 0, and discuss its …

Stability and Hopf Bifurcation Analyses of a Delayed Rumor Spreading Model and Its Discontinuous Control

H Zhu, X Zhang, L Wang - International Journal of Bifurcation and …, 2022 - World Scientific
In this paper, a delayed rumor propagation model with a discontinuous control mechanism is
investigated. First, we investigate the model's existence and boundedness. Then, conditions …

Dynamics analysis and optimal control for a delayed rumor-spreading model

C Li, Z Ma - Mathematics, 2022 - mdpi.com
In this work, we analyze a delayed rumor-propagation model. First, we analyze the existence
and boundedness of the solution of the model. Then, we give the conditions for the …

Complex dynamic analysis of a reaction-diffusion network information propagation model with non-smooth control

X Ma, S Shen, L Zhu - Information Sciences, 2023 - Elsevier
Rumors do the social's perception seal, leaving people untouched with the true thing. Since
the harmfulness of rumors is well known, in order to cut off the net of rumors and make the …