Seasonal Forcing Drives Spatio-Temporal Pattern Formation in Rabies Epidemics

N. V. Festenberg; T. Gross; B. Blasius

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 2, Issue: 4, page 63-73
  • ISSN: 0973-5348

Abstract

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Seasonal forcing is identified as a key pattern generating mechanism in an epidemic model of rabies dispersal. We reduce an established individual-based high-detail model down to a deterministic conceptual model. The characteristic wave pattern characterized by high densities of infected individuals is maintained throughout the reduction process. In our model it is evident that seasonal forcing is the dominant factor that drives pattern formation. In particular we show that seasonal forcing can cause splitting of epidemic wave fronts.

How to cite

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Festenberg, N. V., Gross, T., and Blasius, B.. "Seasonal Forcing Drives Spatio-Temporal Pattern Formation in Rabies Epidemics." Mathematical Modelling of Natural Phenomena 2.4 (2010): 63-73. <http://eudml.org/doc/222254>.

@article{Festenberg2010,
abstract = { Seasonal forcing is identified as a key pattern generating mechanism in an epidemic model of rabies dispersal. We reduce an established individual-based high-detail model down to a deterministic conceptual model. The characteristic wave pattern characterized by high densities of infected individuals is maintained throughout the reduction process. In our model it is evident that seasonal forcing is the dominant factor that drives pattern formation. In particular we show that seasonal forcing can cause splitting of epidemic wave fronts. },
author = {Festenberg, N. V., Gross, T., Blasius, B.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {pattern formation; epidemics; rabies; seasonal forcing},
language = {eng},
month = {3},
number = {4},
pages = {63-73},
publisher = {EDP Sciences},
title = {Seasonal Forcing Drives Spatio-Temporal Pattern Formation in Rabies Epidemics},
url = {http://eudml.org/doc/222254},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Festenberg, N. V.
AU - Gross, T.
AU - Blasius, B.
TI - Seasonal Forcing Drives Spatio-Temporal Pattern Formation in Rabies Epidemics
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/3//
PB - EDP Sciences
VL - 2
IS - 4
SP - 63
EP - 73
AB - Seasonal forcing is identified as a key pattern generating mechanism in an epidemic model of rabies dispersal. We reduce an established individual-based high-detail model down to a deterministic conceptual model. The characteristic wave pattern characterized by high densities of infected individuals is maintained throughout the reduction process. In our model it is evident that seasonal forcing is the dominant factor that drives pattern formation. In particular we show that seasonal forcing can cause splitting of epidemic wave fronts.
LA - eng
KW - pattern formation; epidemics; rabies; seasonal forcing
UR - http://eudml.org/doc/222254
ER -

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