N. G. Medhin and Tianheng Wang.  Multi-group Sir Model: Stability and Control.  Dynamic Systems and Applications 29 (2020) No. 1, 123-138

https://doi.org/10.46719/dsa20202919

ABSTRACT.
A model to study the control of viral spreading in multi-population groups is considered. The goal is to work out transportation and vaccination/quarantine policies to minimize the viral spreading while minimizing negative economic effect. We start by considering a multi-group SIR epidemic model where stability of both disease free equilibrium and endemic equilibrium are investigated. Then, we consider the problem of effectively implementing medical intervention/quarantine, and transport restrictions at various times of a planning horizon under consideration.

AMS (MOS) Subject Classification. 39A10.