Contributed Session 3:  Modeling, Math Biology and Math Finance
A Dynamic SIR Epidemic Model with Taylor Collocation Method: Analysis of Transmission Dynamics Under Intervention Changes
Elcin Celik
Izmir Institute of Technology
Turkey
  Co-Author(s):    Serpil Unal, Deniz Ucar
  Abstract:
 

The aim of the study is to predict how the spread model of the COVID-19 epidemic behaves in line with government interventions and to observe how a change in interventions affects the course of the epidemic. For this purpose, in our study we focus on a dynamic SIR model in which the recovery rate gamma is fixed at 1/15, but the spread rate beta depends on the interventions made rather than being constant. With the Kruskal Wallis test, we can say with %95 confidence that the differences in the estimated spreading rates were due to these interventions. Moreover, with the Dunn`s test, it was obtained that there there were significant differences between full closure and partial closure, as well as between full closure and gradual normalization, with %99 confidence. This also shows that there is a significant difference in the number of cases that may occur with full closure compared to the number of cases after partial closure and gradual normalization.