Examines how community networks affect disease invasibility, suggesting structure changes can reduce spread.
We consider the spread of an infectious disease in a heterogeneous environment modeled as a network of patches. We focus on the invasibility of the disease, as quantified 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 we illustrate our theoretical results by simulations with the exact R₀.
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Kirkland et al. (2021) studied this question.
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