S. E. Miheev, V. S. Mikheev, “Quality criteria for control of epidemic process”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2022, Volume 18, Issue 1,Pages <nobr>149

Computer science

Quality criteria for control of epidemic process

S. E. Miheev^a, V. S. Mikheev^b

^a St Petersburg State University, 7–9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
^b Kansas State University, 1228, av. Martin Luther King, Manhattan, KS 66506, USA

Abstract: The total number of those infected at the end of an epidemic and the maximum number of infected during an epidemic are considered as two quality criteria for control by delayed isolation of the SIR- and SIRS-type infections. The temporal Barabasi — Albert graph is used to model the contacts between individuals. Simulations are run to estimate optimal delays.

Keywords: delayed isolation, SIR, SIRS, control of epidemics, temporal Barabasi — Albert graph, total number of infected, maximum number of infected, temporal network.

UDC: 519.1, 51-76

MSC: 92D30, 94C15

Received: January 20, 2021
Accepted: February 1, 2022

Language: English

DOI: 10.21638/11701/spbu10.2022.112