# Scaling of Stochasticity in Dengue Hemorrhagic Fever Epidemics

M. Aguiar; B.W. Kooi; J. Martins; N. Stollenwerk

Mathematical Modelling of Natural Phenomena (2012)

- Volume: 7, Issue: 3, page 1-11
- ISSN: 0973-5348

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topAguiar, M., et al. "Scaling of Stochasticity in Dengue Hemorrhagic Fever Epidemics." Mathematical Modelling of Natural Phenomena 7.3 (2012): 1-11. <http://eudml.org/doc/222190>.

@article{Aguiar2012,

abstract = {In this paper we analyze the stochastic version of a minimalistic multi-strain model,
which captures essential differences between primary and secondary infections in dengue
fever epidemiology, and investigate the interplay between stochasticity, seasonality and
import. The introduction of stochasticity is needed to explain the fluctuations observed
in some of the available data sets, revealing a scenario where noise and complex
deterministic skeleton strongly interact. For large enough population size, the stochastic
system can be well described by the deterministic skeleton gaining insight on the relevant
parameter values purely on topological information of the dynamics, rather than classical
parameter estimation of which application is in general restricted to fairly simple
dynamical scenarios.},

author = {Aguiar, M., Kooi, B.W., Martins, J., Stollenwerk, N.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {dengue fever epidemiology; multi-strain model; external infections; deterministic skeleton; stochastic system},

language = {eng},

month = {6},

number = {3},

pages = {1-11},

publisher = {EDP Sciences},

title = {Scaling of Stochasticity in Dengue Hemorrhagic Fever Epidemics},

url = {http://eudml.org/doc/222190},

volume = {7},

year = {2012},

}

TY - JOUR

AU - Aguiar, M.

AU - Kooi, B.W.

AU - Martins, J.

AU - Stollenwerk, N.

TI - Scaling of Stochasticity in Dengue Hemorrhagic Fever Epidemics

JO - Mathematical Modelling of Natural Phenomena

DA - 2012/6//

PB - EDP Sciences

VL - 7

IS - 3

SP - 1

EP - 11

AB - In this paper we analyze the stochastic version of a minimalistic multi-strain model,
which captures essential differences between primary and secondary infections in dengue
fever epidemiology, and investigate the interplay between stochasticity, seasonality and
import. The introduction of stochasticity is needed to explain the fluctuations observed
in some of the available data sets, revealing a scenario where noise and complex
deterministic skeleton strongly interact. For large enough population size, the stochastic
system can be well described by the deterministic skeleton gaining insight on the relevant
parameter values purely on topological information of the dynamics, rather than classical
parameter estimation of which application is in general restricted to fairly simple
dynamical scenarios.

LA - eng

KW - dengue fever epidemiology; multi-strain model; external infections; deterministic skeleton; stochastic system

UR - http://eudml.org/doc/222190

ER -

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