The Influence of Social Network Graph Structure on Disease Dynamics in a Simulated Environment Page: 42
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I' / k=
k = 10
S10, 2,% 30% 40, 5 60, 70, 8,0 90 103:3
Percent of Randonm Contacts (p)
-0 ... k 3r2
0% 10 20% 30% 40. 50;% 60. 7% 80% 90 10-r
Percent of Random Contacts (p)
FIGURE 3.3. Outbreak durations on population size 30, p = 0.0 to 1.0 for (a) k = 2 to 10
and (b) k =14 to 30
value, it is not a surprising number considering the small population size and the low values of k
that are included in the average. Figure 3.5 reveals that small neighborhood sizes, accompanied
by a low probability of outside contacts, results in a decrease in secondary infections. As the
neighborhood size is increased, the value of Ro0 becomes more stable.
For experiments performed on a population size of 500, the minimum average value of Ro is
1.4 which occurs when k = 2 and p = 0. The maximum value of Ro is 2.74 and occurs when
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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/m1/52/: accessed May 26, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; .