A networked sis disease dynamics model with a waterborne pathogen

Liu，Ji1; Pare，Philip E.2; Du，Erhu3; Sun，Zhiyong4

10.23919/ACC.2019.8815082

2019-07-01

0743-1619

978-1-5386-7901-2

Proceedings of the American Control Conference

2019-July

2735-2740

10-12 July 2019

Philadelphia, PA, United states

Institute of Electrical and Electronics Engineers Inc.

This paper proposes a distributed continuous-time epidemic model, called networked SIWS (Susceptible-Infected-Water-Susceptible) model, for an SIS type waterborne disease spreading over a network of multiple groups of individuals sharing a water source. A sufficient condition is obtained for the healthy state, at which all individuals are not infected and the water is not contaminated, to be globally asymptotically stable. The effects of the shared water source on the disease spreading are analyzed through the comparison of the basic reproduction number with the networked SIS model without water and demonstrated via simulations.

其他

英语

EI

20193807455751

2-s2.0-85072299671

Scopus

1.Department of Electrical and Computer EngineeringStony Brook University,United States
2.Division of Decision and Control Systems at KTH,Sweden
3.School of Environmental Science and EngineeringSouthern University of Science and Technology,China
4.Department of Automatic ControlLund University,Sweden

Liu，Ji,Pare，Philip E.,Du，Erhu,et al. A networked sis disease dynamics model with a waterborne pathogen[C]:Institute of Electrical and Electronics Engineers Inc.,2019:2735-2740.