Title

Walks And Cycles On A Digraph With Application To Population Dynamics

Keywords

Closed walk; Digraph; Infectious disease control; Spectral radius; Target reproduction number

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. © 2014 Elsevier Inc.

Publication Date

6-15-2014

Publication Title

Linear Algebra and Its Applications

Volume

451

Number of Pages

182-196

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.laa.2014.03.003

Socpus ID

84897549548 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84897549548

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