Please use this identifier to cite or link to this item:
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
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:
Appears in Collections:Applied Mathematics publications
Aurora harvest 2

Files in This Item:
There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.