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20152022
most citedDynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator

4 citations · 6 across the 12 of their papers we have counts for

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math.DS2022

Global stability of SIR model with heterogeneous transmission rate modeled by the Preisach operator

Ruofei Guan, Jana Kopfová, Dmitrii Rachinskii

In recent years, classical epidemic models, which assume stationary behavior of individuals, have been extended to include an adaptive heterogeneous response of the population to t…

math.DS2021

Dynamics of SIR model with heterogeneous response to intervention policy

Dmitrii Rachinskii, Samiha Rouf

We study dynamics of a variant of the SIR the model, where we assume that individuals respond differently to dynamics of the epidemic. Their heterogeneous response is modeled by th…

math.DS2020

A deterministic model for non-monotone relationship between translation of upstream and downstream open reading frames

D. E. Andreev, P. V. Baranov, A. Milogorodskii +1

TASEP modeling was shown to offer a parsimonious explanation for the experimentally confirmed ability of a single upstream Open Reading Frames (uORFs) to upregulate downstream tran…

math.DS2020

Effect of diagnostic testing on the isolation rate in a compartmental model with asymptomatic groups

Zuzana Chladná, Jana Kopfová, Dmitrii Rachinskii +1

We present two epidemiological models, which extend the classical SEIR model by accounting for the effect of indiscriminate quarantining, isolation of infected individuals based on…

math.DS20204 cited

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

Jana Kopfová, Petra Nábělková, D. Rachinskii +1

We study global dynamics of an SIR model with vaccination, where we assume that individuals respond differently to dynamics of the epidemic. Their heterogeneous response is modeled…

math.DS2020

Guaranteed estimates for the length of branches of periodic orbits for equivariant Hopf bifurcation

E. Hooton, Z. Balanov, D. Rachinskii

Connected branches of periodic orbits originating at a Hopf bifurcation point of a differential system are considered. A computable estimate for the range of amplitudes of periodic…