Title :
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
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;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
