Page 236 - IJOCTA-15-4

H. Kravitz et al. / IJOCTA, Vol.15, No.4, pp.750-778 (2025)

Figure A19. A comparison between the attack ratios from the model and decoupled SIR model shows that
the addition of the transient edge populations reduces the attack ratios by no more than 3%.

indicates that the coupled model preserves the The attack ratios can also be used to deter-
standard epidemic final-size relation at the local mine which cities are most affected by the network
level, even in the presence of mobility along the structure. For the particular set of parameters
edges. In other words, while transient infections chosen, all cities experience lower attack ratios
contribute to local dynamics, they do not substan- under the coupled model. Vertices v 7 , v 13 , and
tially alter the distribution of epidemic burden at v 20 experience the biggest difference in attack ra-
each vertex. This result provides a consistency tio between the two models, whereas vertices v 18
check: the coupled model largely reproduces the and v 19 experience the smallest improvement.
classical attack ratio relationship while allowing
more nuanced network effects to be captured.

An International Journal of Optimization and Control: Theories & Applications
(https://accscience.com/journal/ijocta)

This work is licensed under a Creative Commons Attribution 4.0 International License. The authors retain ownership of
the copyright for their article, but they allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles
in IJOCTA, so long as the original authors and source are credited. To see the complete license contents, please visit
http://creativecommons.org/licenses/by/4.0/.

778