Global dynamics of SIR model with switched transmission rate

Analytical features of the SIR model and their applications to COVID-19

“…The SARS-Cov-2 pandemic has introduced an evident research boom into biophysical and mathematical modeling of infection expansions. Main efforts have been related to identification of factors [1] , [2] , [3] , [4] , [5] , [6] , [7] , [8] , [9] , [10] , [11] , [12] that help prognosticate the pandemic development what is a clear concern in the atmosphere of anxiety and social limitations. Among a variety of infection expansion model types, the SIR- (susceptible-infectives-recovered, where infectives are indistinguishable from ill) models occupy a particular place.…”

Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator

“…Models studied in Chladná et al. ( 2020 ) assume that intervention measures are implemented when the number of infected individuals exceeds a critical level, and the intervention stops when this number drops below a different (lower) threshold. Implications of such two-threshold intervention strategies for dynamics of an SIR model were considered both in the case of switched vaccination rate (see Sect.…”

“…As a starting point, we adopt the approach of Chladná et al. ( 2020 ) to modeling the homogeneous switched response of a subpopulation to the varying number of infected individuals by a two-threshold two-state relay operator (as described in Sect. 2.1 ).…”

Dynamics of the COVID-19 basic reproduction numbers in different countries

“…When >2, a major outbreak is possible. When >3, the emergence of a pandemic is generally considered to be inevitable [4] .…”