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    Impact of Varying Community Networks on Disease Invasion

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    Impact_of_varying_community_networks_on_disease_invasion.pdf (524.3Kb)
    Date
    2021
    Author
    Kirkland, Steve
    Shuai, Zhisheng
    van den Driessche, Pauline
    Wang 王雪莹, Xueying
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    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.
    URI
    http://hdl.handle.net/1993/37177
    DOI
    10.1137/20M1328762
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    • University of Manitoba Scholarship [1981]

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