Containment strategies of epidemic invasions

Autor(en): Migliori, Dario
Malchow, Horst 
Venturino, Ezio
Stichwörter: diffusion; epidemics; harvesting; Mathematics; Mathematics, Applied; MODEL; pattern formation; PATTERN-FORMATION; POPULATION; simulations; strategies; transmissible diseases; vaccination
Erscheinungsdatum: 2012
Herausgeber: TAYLOR & FRANCIS LTD
Journal: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volumen: 89
Ausgabe: 5
Startseite: 639
Seitenende: 678
Zusammenfassung: 
In this paper, prompted by the practical issue of controlling the Aujeszky disease affecting hogs, we analyse what strategies can be implemented to try and contain an SI epidemic invasion in one and two neighbouring farms. We perform some simulations under different assumptions on the basic system, leading thus to different models. The results show that the disease cannot be arrested completely, since infected remain so for life and the system is of a diffusive type, but its spread can rather be slowed down. The influence of contamination islands, sudden external disease infiltration and containment barriers are simulated. The possible leaking of the infection into a neighbouring farm is also studied. The analysis is then extended to an SIS model allowing disease recovery. Under suitable conditions, harvesting is shown to be an effective containment strategy.
ISSN: 00207160
DOI: 10.1080/00207160.2011.648627

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