Impact of Varying Community Networks on Disease Invasion
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Date
2021
Authors
Kirkland, Steve
Shuai, Zhisheng
van den Driessche, Pauline
Wang 王雪莹, Xueying
Journal Title
Journal ISSN
Volume Title
Publisher
Society for Industrial and Applied Mathematics
Abstract
We consider the spread of an infectious disease in a heterogeneous environment, modelled as a network of patches. We focus on the invasibility of the disease, as quantifi ed by the corresponding value of an approximation to the network basic reproduction number, R0, and study how changes in the network structure affect the value of R0. We provide a detailed analysis for two model networks, a star and a path, and discuss the changes to the corresponding network structure that yield the largest decrease in R0. We develop both combinatorial and matrix analytic techniques, and illustrate our theoretical results by simulations with the exact R0.
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Keywords
Basic reproduction number, Matrix tree theorem, Group inverse