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1
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Pertsev N.V.
, Topchii V.A.
, Loginov K.K.
Numerical Stochastic Simulation of Spatially Heterogeneous Population
Numerical Analysis and Applications. 2024.
V.17. N2. P.174-187. DOI: 10.1134/s1995423924020071
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2
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Pertsev N.V.
, V. A. Topchii V.A.
, Loginov K.K.
Stochastic Modeling of Time- and Place-Local Contacts of Individuals in an Epidemic Process
Journal of Applied and Industrial Mathematics. 2023.
V.17. N2. P.355-369. DOI: 10.1134/s199047892302014x
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3
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Pertsev N.V.
, Loginov K.K.
Stochastic Modeling in Immunology Based On a Stage-Dependent Framework with Non-Markov Constraints for Individual Cell and Pathogen Dynamics
Математическая биология и биоинформатика (Mathematical Biology and Bioinformatics). 2023.
V.18. N2. P.543-567. DOI: 10.17537/2023.18.543
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4
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Pertsev N.
, Loginov K.
, Lukashev A.
, Vakulenko Y.
Stochastic Modeling of Dynamics of the Spread of COVID-19 Infection Taking Into Account the Heterogeneity of Population According To Immunological, Clinical and Epidemiological Criteria [Стохастическое моделирование динамики распространения Ковид-19 с учетом неоднородности населения по иммунологическим, клиническим и эпидемиологическим критериям]
Математическая биология и биоинформатика (Mathematical Biology and Bioinformatics). 2022.
V.17. N1. P.43-81. DOI: 10.17537/2022.17.43
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5
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Pertsev N.V.
, Topchii V.A.
, Loginov K.K.
Numerical Stochastic Modeling of Dynamics of Interacting Populations
Journal of Applied and Industrial Mathematics. 2022.
V.16. N3. P.524-539. DOI: 10.1134/S1990478922030164
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6
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Pertsev N.V.
, Bocharov G.A.
, Loginov K.K.
Numerical Simulation of T-Lymphocyte Population Dynamics in a Lymph Node
Journal of Applied and Industrial Mathematics. 2022.
V.16. N4. P.737-750. DOI: 10.1134/S1990478922040147
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OpenAlex
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7
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Loginov K.K.
, Pertsev N.V.
Asymptotic Behavior of Solutions to a Delay Integro-Differential Equation Arising in Models of Living Systems
Siberian Advances in Mathematics. 2021.
V.31. N2. P.131-146. DOI: 10.1134/S1055134421020036
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8
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Bocharov G.A.
, Loginov K.K.
, Pertsev N.V.
, Topchii V.A.
Direct Statistical Modeling of HIV-1 Infection Based on a Non-Markovian Stochastic Model
Computational Mathematics and Mathematical Physics. 2021.
V.61. N8. P.1229-1251. DOI: 10.1134/S0965542521060026
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9
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Pertsev N.V.
, Loginov K.K.
НАХОЖДЕНИЕ ПАРАМЕТРОВ ЭКСПОНЕНЦИАЛЬНЫХ ОЦЕНОК РЕШЕНИЙ ЗАДАЧИ КОШИ ДЛЯ НЕКОТОРЫХ СИСТЕМ ЛИНЕЙНЫХ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ С ЗАПАЗДЫВАНИЕМ
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021.
V.18. N2. P.1307-1318. DOI: 10.33048/SEMI.2021.18.100
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10
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Loginov K.
, Pertsev N.
Direct Statistical Modeling of Spread of Epidemic Based On a Stage-Dependent Stochastic Model
Математическая биология и биоинформатика (Mathematical Biology and Bioinformatics). 2021.
V.16. N2. P.169-200. DOI: 10.17537/2021.16.169
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11
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Pertsev N.V.
, Topchii V.A.
, Loginov K.K.
Numerical modelling of the transition of infected cells and virions between two lymph nodes in a stochastic model of HIV-1 infection
Russian Journal of Numerical Analysis and Mathematical Modelling. 2021.
V.36. N5. P.293-302. DOI: 10.1515/rnam-2021-0024
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12
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Pertsev N.V.
, Loginov K.K.
, Topchii V.A.
Analysis of an epidemic mathematical model based on delay differential equations
Journal of Applied and Industrial Mathematics. 2020.
V.14. N2. P.396-406. DOI: 10.1134/S1990478920020167
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13
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Pertsev N.V.
, Loginov K.K.
, Topchii V.A.
Analysis of a stage-dependent epidemic model based on a non-Markov random process
Journal of Applied and Industrial Mathematics. 2020.
V.14. N3. P.566-580. DOI: 10.1134/S1990478920030151
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14
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Pertsev N.
, Loginov K.
, Bocharov G.
Nonlinear effects in the dynamics of HIV-1 infection predicted by mathematical model with multiple delays
Discrete and Continuous Dynamical Systems - Series S. 2020.
V.13. N9. P.2365-2384. DOI: 10.3934/dcdss.2020141
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15
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Pertsev N.V.
, Pichugin B.Y.
, Loginov K.K.
Stochastic Analog of the Dynamic Model of HIV-1 Infection Described by Delay Differential Equations
Journal of Applied and Industrial Mathematics. 2019.
V.13. N1. P.103-117. DOI: 10.1134/S1990478919010125
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16
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Pichugin B.J.
, Pertsev N.V.
, Topchii V.A.
, Loginov K.K.
Stochastic modeling of age-structed population with time and size dependence of immigration rate
Russian Journal of Numerical Analysis and Mathematical Modelling. 2018.
V.33. N5. P.289-299. DOI: 10.1515/rnam-2018-0024
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