The dynamics analysis of a rumor propagation model in online social networks

Zhu, Linhe; Liu, Mengxue; Li, Yimin

doi:10.1016/j.physa.2019.01.013

Cited by 49 publications

(23 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The contributions of our work are as follows. (1) Considering that individuals may believe or spread two similar rumors, a novel 3SI3R model is proposed to research the propagation law of two rumors with mutual promotion. (2) The influence of the mutual promotion on the final size of two rumors is derived.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

A 3SI3R model for the propagation of two rumors with mutual promotion

et al. 2020

View full text Add to dashboard Cite

There are often many kinds of rumors spreading in new media after emergencies; however, the existing studies have focused on the rumors with competition, and little attention has been paid to those with mutual promotion. Therefore the mutual promotion between two rumors and the state transition rules between different groups are first analyzed. Then a 3SI3R model, extending the classical 2SI2R model, and mean-field equations of the proposed model are given. Further, the stability and influence of the mutual promotion on the final size of two rumors in the proposed model are derived. Finally, numerical simulations are carried out to investigate the influence of factors, that is, the mutual promotion, occurrence time differences, and the forgetting rate, on the propagation of two rumors. The results show that the enhancement of the mutual promotion can accelerate propagation of two rumors and enlarge their final size; the increase of forgetting rate helps to decrease the final size of two rumors; the decrease in occurrence time differences can result in a small increase in the final size of the later rumor, and the overall situation of two rumors becomes more difficult to control.

show abstract

Section: Resultsmentioning

confidence: 99%

“…In recent years, with rapid development of Internet technologies, the propagation of rumors has become more and more complicated [1]. On the one hand, the number of mobile users has obviously increased in new media.…”

Section: Introductionmentioning

confidence: 99%

A 3SI3R model for the propagation of two rumors with mutual promotion

et al. 2020

View full text Add to dashboard Cite

show abstract

“…There are several works where the study of positive periodic solutions is developed, for instance in [13,[19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. In particular, recently in [13] was proved the existence of at one positive periodic solution of the following system modeling the dynamics of a computer virus…”

Section: Related Workmentioning

confidence: 99%

Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment

et al. 2020

View full text Add to dashboard Cite

In this work we develop a study of positive periodic solutions for a mathematical model of the dynamics of computer virus propagation. We propose a generalized compartment model of SEIR-KS type, since we consider that the population is partitioned in five classes: susceptible (S); exposed (E); infected (I); recovered (R); and kill signals (K), and assume that the rates of virus propagation are time dependent functions. Then, we introduce a sufficient condition for the existence of positive periodic solutions of the generalized SEIR-KS model. The proof of the main results are based on a priori estimates of the SEIR-KS system solutions and the application of coincidence degree theory. Moreover, we present an example of a generalized system satisfying the sufficient condition.

show abstract

“…By using mean-field equations, Wang et al [30] established the SIRaRu rumor propagation model in complex networks and analyzed its dynamic characteristics. These studies above provided theoretical support for us to control rumor propagation more effectively [45,46,5,47,48].…”

Section: Introductionmentioning

confidence: 98%

A theoretical approach to understanding rumor propagation dynamics in a spatially heterogeneous environment

Zhu¹,

Liu²,

Zhang³

2021

DCDS-B

Self Cite

View full text Add to dashboard Cite

Most of the previous work on rumor propagation either focus on ordinary differential equations with temporal dimension or partial differential equations (PDE) with only consideration of spatially independent parameters. Little attention has been given to rumor propagation models in a spatiotemporally heterogeneous environment. This paper is dedicated to investigating a SCIR reaction-diffusion rumor propagation model with a general nonlinear incidence rate in both heterogeneous and homogeneous environments. In spatially heterogeneous case, the well-posedness of global solutions is established first. The basic reproduction number R 0 is introduced, which can be used to reveal the threshold-type dynamics of rumor propagation: if R 0 < 1, the rumor-free steady state is globally asymptotically stable, while R 0 > 1, the rumor is uniformly persistent. In spatially homogeneous case, after introducing the time delay, the stability properties have been extensively studied. Finally, numerical simulations are presented to illustrate the validity of the theoretical analysis and the influence of spatial heterogeneity on rumor propagation is further demonstrated.

show abstract

The dynamics analysis of a rumor propagation model in online social networks

Cited by 49 publications

References 22 publications

A 3SI3R model for the propagation of two rumors with mutual promotion

A 3SI3R model for the propagation of two rumors with mutual promotion

Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment

A theoretical approach to understanding rumor propagation dynamics in a spatially heterogeneous environment

Contact Info

Product

Resources

About