1
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Topchii V.A.
, Pertsev N.V.
Crytical Multitype Branching Processes on a Graph]{Critical Multitype Branching Processes on a Graph and the Model of the HIV Infection Development
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023.
V.20. N1. P.465 -476. DOI: 10.33048/semi.2023.20.027
WOS
Scopus
РИНЦ
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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
Scopus
РИНЦ
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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
Scopus
РИНЦ
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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
Scopus
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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
Scopus
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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
Scopus
РИНЦ
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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
Scopus
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8
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Pertsev N.V.
Application of Differential Equations with Variable Delay in the Compartmental Models of Living Systems
Journal of Applied and Industrial Mathematics. 2021.
V.15. N3. P.466-482. DOI: 10.1134/S1990478921030091
Scopus
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9
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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
Scopus
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10
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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
Scopus
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11
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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
Scopus
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12
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Pertsev N.V.
CONSTRUCTION OF EXPONENTIALLY DECREASING ESTIMATES OF SOLUTIONS TO A CAUCHY PROBLEM FOR SOME NONLINEAR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021.
V.18. N1. P.579-598. DOI: 10.33048/semi.2021.18.042
Scopus
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13
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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
Scopus
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14
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Pertsev N.V.
Stability of linear delay differential equations arising in models of living systems
Siberian Advances in Mathematics. 2020.
V.30. N1. P.43-54. DOI: 10.3103/S1055134420010046
Scopus
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15
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Pertsev N.V.
Exponential decay estimates for some components of solutions to the nonlinear delay differential equations of the living system models
Siberian Mathematical Journal. 2020.
V.61. N4. P.715-724. DOI: 10.1134/S0037446620040126
Scopus
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16
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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
Scopus
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17
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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
Scopus
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18
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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
Scopus
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19
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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
Scopus
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20
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Pertsev N.V.
GLOBAL SOLVABILITY AND ESTIMATES FOR SOLUTIONS TO THE CAUCHY PROBLEM FOR THE
RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS THAT ARE USED TO MODEL LIVING SYSTEMS
Siberian Mathematical Journal. 2018.
V.59. N1. P.113–125. DOI: 10.1134/S0037446618010135
Scopus
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21
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Pertsev N.V.
, Pichugin B.Y.
, Pichugina A.N.
Application of M-Matrices in Studies of Mathematical Models of Living Systems
Математическая биология и биоинформатика (Mathematical Biology and Bioinformatics). 2018.
V.18. NS. P.t104–t131. DOI: 10.17537/2018.13.t104
Scopus
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22
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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
Scopus
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