A TRAVELING PULSE BEHAVIOR OF THE SPREAD OF THE AVIAN FLU VIRUSES AMONG FLOCK AND HUMAN
| Main Authors: | Pudjaprasetya, S.R.; Industrial & Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Gunawan, A.Y.; Industrial & Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung |
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| Format: | Article application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
IndoMS
, 2010
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| Subjects: | |
| Online Access: |
http://www.jims-a.org/index.php/jimsa/article/view/30 |
Daftar Isi:
- We propose two disease transmission models: the SI model with di®u-sive terms as a model for transmission of avian in°uenza viruses among °ock withconstant population density, and the host-vector SI model with di®usive terms fortransmission among °ock and human. There is a threshold number that determinewhether the diseases become epidemic or not. It depends on three parameters: theaverage length of the infective period, the contact parameter, and the density ofsusceptible population at the initial time. With di®usive terms in the model, thespatial spread of the infection is obvious. Threshold number greater than one isalso the necessary condition for the spreading of infection in the form of a travelingpulse. Its minimum velocity can be determined. We implement the MacCormackmethod, and simulate the generation of a traveling pulse starting from one infectedbird. Numerically, we obtain the percentage of survival in °ock and human afterthe epidemic. We also simulate the minimal portion of immunization in order toprevent further spread.DOI : http://dx.doi.org/10.22342/jims.16.1.30.39-49