Dynamic behavior of an I2S2R rumor propagation model on weighted contract networks

Zhang, Yuhuai; Zhu, Jianjun

doi:10.1016/j.physa.2019.04.217

Cited by 15 publications

(10 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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

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

show abstract

“…[10] In addition, they chose different views to modify rumor spreading models, such as SBD models, [11] SIQRS models, [12] and I2S2R models. [13] What is more, several scholars took some microscopic mechanisms into account to the process of rumor spreading, such as hesitating mechanism, [14] and forgetting mechanism. [15][16][17][18] Nevertheless, the above studies focused mainly on the final state of rumor spreading but ignored the dynamical process of rumor spreading.…”

Section: Introductionmentioning

confidence: 99%

Near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters*

Huo¹,

Chen²

2021

Chinese Phys. B

View full text Add to dashboard Cite

In recent years, rumor spreading has caused widespread public panic and affected the whole social harmony and stability. Consequently, how to control the rumor spreading effectively and reduce its negative influence urgently needs people to pay much attention. In this paper, we mainly study the near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters. Firstly, the science knowledge propagation and the refutation mechanism as the control strategies are introduced into a stochastic rumor spreading model. Then, some sufficient and necessary conditions for the near-optimal control of the stochastic rumor spreading model are discussed respectively. Finally, through some numerical simulations, the validity and availability of theoretical analysis is verified. Meanwhile, it shows the significance and effectiveness of the proposed control strategies on controlling rumor spreading, and demonstrates the influence of stochastic disturbance and imprecise parameters on the process of rumor spreading.

show abstract

“…Note that rumors are widely spread in an increasingly complicated environment with the rapid development of market economy and globalization. That is, the area of rumor spreading includes people of different nationalities and languages [22][23][24][25]. In such a social environment, the dissemination of rumors, the ways and means of receiving rumors, and the guidance of public opinion of rumors are more complicated than those in a monolingual environment.…”

Section: Introductionmentioning

confidence: 99%

“…(1) By extending the existing results [22][23][24][25], a novel IE2S2R model is proposed by adding a hesitation mechanism. Especially, exposures may be translated into spreaders or stiflers with a certain rate in heterogenous networks and bilingual environment.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of the rumor-spreading model with hesitation mechanism in heterogenous networks and bilingual environment

Yang

Jiang

et al. 2020

Adv Differ Equ

View full text Add to dashboard Cite

In this paper, a novel rumor-spreading model is proposed under bilingual environment and heterogenous networks, which considers that exposures may be converted to spreaders or stiflers at a set rate. Firstly, the nonnegativity and boundedness of the solution for rumor-spreading model are proved by reductio ad absurdum. Secondly, both the basic reproduction number and the stability of the rumor-free equilibrium are systematically discussed. Whereafter, the global stability of rumor-prevailing equilibrium is explored by utilizing Lyapunov method and LaSalle’s invariance principle. Finally, the sensitivity analysis and the numerical simulation are respectively presented to analyze the impact of model parameters and illustrate the validity of theoretical results.

show abstract

Dynamic behavior of an I2S2R rumor propagation model on weighted contract networks

Cited by 15 publications

References 39 publications

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

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

Near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters*

Dynamics of the rumor-spreading model with hesitation mechanism in heterogenous networks and bilingual environment

Contact Info

Product

Resources

About