- Tytuł:
- Verified solution method for population epidemiology models with uncertainty
- Autorzy:
-
Enszer, J. A.
Stadtherr, M. A. - Powiązania:
- https://bibliotekanauki.pl/articles/930132.pdf
- Data publikacji:
- 2009
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
dynamika nieliniowa
epidemiologia
analiza interwałowa
równanie różniczkowe
nonlinear dynamics
epidemiology
interval analysis
verified computing
ordinary differential equations - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2009, 19, 3; 501-512
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł