2015
DOI: 10.4236/oalib.1102040
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Qualitative Analysis of a Rumor Transmission Model with Incubation Mechanism

Abstract: In this paper, we propose a rumor transmission model with incubation period considering the fact that incubators may move to stifler class and susceptibles may move to spreader class. The model is formulated with constant recruitment and varying total population. The full system of the model is studied qualitatively producing rumor-free and rumor-existence equilibriums. The existence conditions of the equilibriums are investigated. Moreover, the local and global stability analysis of both equilibriums is exami… Show more

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Cited by 9 publications
(11 citation statements)
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References 27 publications
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“…The propagation of public opinion in OSN mainly depends on netizens' spreading behavior, which has essential randomness and uncertainty, and the state transition probability is a very important parameter reflecting this process. In most previous research (Al-Tuwairqi et al. , 2015; Liu et al.…”
Section: Construction Of Public Opinion Propagation Modelmentioning
confidence: 95%
See 1 more Smart Citation
“…The propagation of public opinion in OSN mainly depends on netizens' spreading behavior, which has essential randomness and uncertainty, and the state transition probability is a very important parameter reflecting this process. In most previous research (Al-Tuwairqi et al. , 2015; Liu et al.…”
Section: Construction Of Public Opinion Propagation Modelmentioning
confidence: 95%
“…The public opinion spreading model from macro perspective focuses on analyzing the quantitative changes of various groups from overall level, and then studies the propagation laws and characteristics of public opinion. The representative model is the warehouse model extended based on the infectious disease model: from the original classical spreading models (SI, SIR, SIS, DK) (Daley and Kendall, 1964; Zanette, 2002) to the improved spreading models (SIRS, SEIR) (Al-Tuwairqi et al. , 2015; Liu et al.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Model penyebaran rumor mengalami perkembangan dengan panambahan beberapa kompartemen diantarnya kompartemen rentan teredukasi dan tidak teredukasi [6], kompartemen inkubasi [7], dan kompartemen pecandu media sosial [8]. Review terkait model-model penyebaran rumor dibahas dalam [9].…”
Section: Model Matematika Penyebaran Hoax Covid 19unclassified
“… [10] ), incubation mechanisms (Al-Tuwairqi et al. [11] ), hesitation mechanisms (Xia et al. [12] ), punishment and control by the government (Li and Ma [13] , Zhao and Wang [14] ), memory effects (Zhang and Xu [15] ), different probabilities for spreaders to become stiflers (Zhao et al.…”
Section: Introductionmentioning
confidence: 99%