Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/17837
Type: | Journal article |
Title: | Impulsive control of rumours with two broadcasts |
Author: | Belen, S. Kaya, C. Pearce, C. |
Citation: | Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2005; 46:379-391 |
Publisher: | Australian Mathematical Society |
Issue Date: | 2005 |
ISSN: | 1446-1811 |
Statement of Responsibility: | Selma Belen, C. Yalcin Kaya and C. E. M. Pearce |
Abstract: | In this paper we introduce an impulsive control model of a rumour process. The spreaders are classified as subscriber spreaders, who receive an initial broadcast of a rumour and start spreading it, and nonsubscriber spreaders who change from being an ignorant to being a spreader after encountering a spreader. There are two consecutive broadcasts. The first starts the rumour process. The objective is to time the second broadcast so that the final proportion of ignorants is minimised. The second broadcast reactivates as spreaders either the subscriber stiflers (Scenario 1) or all individuals who have been spreaders (Scenario 2). It is shown that with either scenario the optimal time for the second broadcast is always when the proportion of spreaders drops to zero. |
Description: | © Australian Mathematical Society 2005 |
Published version: | http://www.austms.org.au/Publ/ANZIAM/V46P3/2158.html |
Appears in Collections: | Applied Mathematics publications Aurora harvest 2 |
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