Walks and cycles on a digraph with application to population dynamics

    Authors

    J. W. Moon; Z. S. Shuai;P. van den Driessche

    Comments

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    Abbreviated Journal Title

    Linear Alg. Appl.

    Keywords

    Spectral radius; Target reproduction number; Closed walk; Digraph; Infectious disease control; INFECTIOUS-DISEASE CONTROL; REPRODUCTION NUMBER; Mathematics, Applied; Mathematics

    Abstract

    Several relations involving closed walks and closed cycles in a weighted digraph are established. These relations are used to derive new expressions for target reproduction numbers for controlling the spectral radius of nonnegative matrices. The results are illustrated by an application to infectious disease control. (C) 2014 Elsevier Inc. All rights reserved.

    Journal Title

    Linear Algebra and Its Applications

    Volume

    451

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    182

    Last Page

    196

    WOS Identifier

    WOS:000336693200009

    ISSN

    0024-3795

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