Title

Walks and cycles on a digraph with application to population dynamics

Authors

Authors

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

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

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

Share

COinS