The Influence of Social Network Graph Structure on Disease Dynamics in a Simulated Environment Page: 22
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TABLE 2.2. Comparable Disease Parameters for ODE and Computational Model
N = 500 So = 499
TR 0.03 = 0.0012
DaysI =4 7 = 0.25
The simulated outbreak was averaged over 100 independent simulations. The parameters used for
this comparison are shown in Table 2.2.
Computational /Mathematical Comparison
0 5 10 15 0 5 30 35 40 45 50
FIGURE 2.7. Comparison between ODE and computational model
Figure 2.7 illustrates that the infectious curve of the ODE lags behind that of the simulation.
This is likely attributed to the fact that the infectious count is reduced each day by 7 in the ODE,
whereas each infectious individual in the simulation remains in the count until after they have been
in the infectious state for DaysI. This causes a discrepancy that becomes apparent early in the
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Johnson, Tina V. The Influence of Social Network Graph Structure on Disease Dynamics in a Simulated Environment, dissertation, December 2010; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc33173/m1/32/: accessed May 24, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; .