### 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.

Original language | English (US) |
---|---|

Title of host publication | Proceedings of the 30th Chinese Control Conference, CCC 2011 |

Pages | 6475-6480 |

Number of pages | 6 |

State | Published - 2011 |

Event | 30th Chinese Control Conference, CCC 2011 - Yantai, China Duration: Jul 22 2011 → Jul 24 2011 |

### Publication series

Name | Proceedings of the 30th Chinese Control Conference, CCC 2011 |
---|

### Other

Other | 30th Chinese Control Conference, CCC 2011 |
---|---|

Country | China |

City | Yantai |

Period | 7/22/11 → 7/24/11 |

### Keywords

- Cooperative Systems
- Epidemic Dynamics
- Interconnected Systems
- Non-negative Matrix

### ASJC Scopus subject areas

- Control and Systems Engineering

## Fingerprint Dive into the research topics of 'A system-theoretic approach for epidemic networks with time-varying population'. Together they form a unique fingerprint.

## Cite this

Ye, H., Jiang, Z. P., & Panwar, S. S. (2011). A system-theoretic approach for epidemic networks with time-varying population. In

*Proceedings of the 30th Chinese Control Conference, CCC 2011*(pp. 6475-6480). [6000901] (Proceedings of the 30th Chinese Control Conference, CCC 2011).