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Verified solution method for population epidemiology models with uncertainty

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Title: Verified solution method for population epidemiology models with uncertainty

Creator:

Enszer, Joshua A. ; Stadtherr, Mark A.

Date:

2009

Resource Type:

artykuł

Contributor:

Rauh, Andreas - ed. ; Auer, Ekaterina - ed. ; Hofer,Eberhard P. - ed. ; Luther, Wolfram - ed.

Subtitle:

.

Group publication title:

AMCS, volume 19 (2009)

Abstract:

Epidemiological models can be used to study the impact of an infection within a population. These models often involve parameters that are not known with certainty. Using a method for verified solution of nonlinear dynamic models, we can bound the disease trajectories that are possible for given bounds on the uncertain parameters. The method is based on the use of an interval Taylor series to represent dependence on time and the use of Taylor models to represent dependence on uncertain parameters and/or initial conditions. The use of this method in epidemiology is demonstrated using the SIRS model, and other variations of Kermack-McKendrick models, including the case of time-dependent transmission.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:78785

DOI:

10.2478/v10006-009-0040-4

Pages:

501-512

Source:

AMCS, volume 19, number 3 (2009) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

nonlinear dynamics epidemiology interval analysis verified computing ordinary differential equations

Object collections:

Last modified:

Apr 9, 2024

In our library since:

Apr 9, 2024

Number of object content hits:

24

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/88561

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Verified solution method for population epidemiology models with uncertainty Apr 9, 2024

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