2021
DOI: 10.20948/prepr-2021-103
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Epidemic spreading model in heterogeneous conditions

Abstract: I propose two modifications of the SIR model of the epidemic spread, taking into account the social and space heterogeneity of the population. Social hetero¬geneity associated with differences in the intensity of paired contacts between people qualitatively changes the basic reproductive number. Space heterogeneity associated with differences in the intensity of multiple contacts between people significantly shifts the equilibrium position, increases the characteristic times and leads to the emergence of oscil… Show more

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“…A decrease in the period leads to an increase in the oscillation frequency of the logperiodic function in the limit to infinity. This function feature was the basis for choosing it as a model В MOD (13) for describing systems operating in the blowup mode [Podlazov, 2009].…”
Section: Con Tr Per ( )mentioning
confidence: 99%
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“…A decrease in the period leads to an increase in the oscillation frequency of the logperiodic function in the limit to infinity. This function feature was the basis for choosing it as a model В MOD (13) for describing systems operating in the blowup mode [Podlazov, 2009].…”
Section: Con Tr Per ( )mentioning
confidence: 99%
“…In dynamic systems operating in blow-up mode, a periodic process overlays the main trend of the monitored parameter. This process is described by a model wherein one of the coefficients corresponds in value and dimension to the moment of system failure or a significant alteration in its evolution pattern [Podlazov, 2009]. These modes can be described by the following equation:…”
mentioning
confidence: 99%