A system-theoretic approach for epidemic networks with time-varying population

Author

Huawen Ye ; Jiang Zhong-Ping ; Panwar, Shivendra S.

Author_Institution

Sch. of Inf. Sci. & Eng., Central South Univ., Changsha, China

fYear

2011

fDate

22-24 July 2011

Firstpage

6475

Lastpage

6480

Abstract

In this paper, a modern system-theoretic approach is applied to analyze the dynamics of epidemic networks with time-varying population. Specifically, cooperative system theory, nonnegative matrix theory and large-scale system theory are jointly invoked to study the global asymptotic stability of an equilibrium of interest. The obtained results may provide biologically-meaningful measures for how to control the disease and explain why the disease fades out in the population. An explicit estimate is given to describe how the recovery rate affects the epidemic level.

Keywords

asymptotic stability; diseases; large-scale systems; matrix algebra; cooperative system theory; disease control; epidemic network dynamics; global asymptotic stability; large-scale system theory; nonnegative matrix theory; system theoretic approach; time-varying population; Artificial neural networks; Cooperative systems; Diseases; Jacobian matrices; Nickel; Silicon; Time varying systems; Cooperative Systems; Epidemic Dynamics; Interconnected Systems; Non-negative Matrix;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6000901