Stability Analysis of Susceptible-Infected-Recovered Epidemic Model.
- Author:
Duotao PAN
;
Hongyan SHI
;
Mingzhong HUANG
;
Decheng YUAN
- Publication Type:Journal Article
- MeSH:
Computational Biology;
Epidemics;
Humans;
Models, Biological;
Nonlinear Dynamics;
Systems Biology;
Systems Theory
- From:
Journal of Biomedical Engineering
2015;32(5):1013-1018
- CountryChina
- Language:Chinese
-
Abstract:
With the range of application of computational biology and systems biology gradually expanding, the complexity of the bioprocess models is also increased. To address this difficult problem, it is required to introduce positive alternative analysis method to cope with it. Taking the dynamic model of the epidemic control process as research object, we established an evaluation model in our laboratory. Firstly, the model was solved with nonlinear programming method. The results were shown to be good. Based on biochemical systems theory, the ODE dynamic model was transformed into S-system. The eigen values of the model showed that the system was stable and contained oscillation phenomenon. Next the sensitivities of rate constant and logarithmic gains of the three key parameters were analyzed, as well as the robust of the system. The result indicated that the biochemical systems theory could be applied in different fields more widely.
