Stochastic models for the spreading of rumours and epidemics
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo - Brazil
[2] Univ Estadual Campinas, Dept Stat, Inst Math Stat & Sci Computat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | SIAM JOURNAL ON APPLIED MATHEMATICS; v. 71, n. 4, p. 1476-1486, 2011. |
| Web of Science Citations: | 15 |
| Abstract | |
We study a general stochastic rumour model in which an ignorant individual has a certain probability of becoming a stifler immediately upon hearing the rumour. We refer to this special kind of stifler as an uninterested individual. Our model also includes distinct rates for meetings between two spreaders in which both become stiflers or only one does, so that particular cases are the classical Daley-Kendall and Maki-Thompson models. We prove a Law of Large Numbers and a Central Limit Theorem for the proportions of those who ultimately remain ignorant and those who have heard the rumour but become uninterested in it. (AU) | |
| FAPESP's process: | 09/18253-7 - Stochastic modeling for population biology |
| Grantee: | Fabio Prates Machado |
| Support type: | Scholarships abroad - Research |
| FAPESP's process: | 10/06967-2 - Random walk systems and their applications to models of information diffusion |
| Grantee: | Pablo Martin Rodriguez |
| Support type: | Scholarships in Brazil - Post-Doctorate |