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Articles (23) More info

1	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 WOS Scopus РИНЦ OpenAlex
2	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
3	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 OpenAlex
4	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 OpenAlex
5	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 РИНЦ OpenAlex
6	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 РИНЦ OpenAlex
7	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 OpenAlex
8	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 OpenAlex
9	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 OpenAlex
10	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 WOS Scopus OpenAlex
11	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 WOS Scopus OpenAlex
12	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 OpenAlex
13	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 WOS Scopus OpenAlex
14	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 WOS Scopus OpenAlex
15	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 OpenAlex
16	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 WOS Scopus OpenAlex
17	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 OpenAlex
18	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 OpenAlex
19	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 WOS Scopus OpenAlex
20	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 OpenAlex
21	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 WOS Scopus OpenAlex
22	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 OpenAlex
23	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 WOS Scopus OpenAlex

Conference attendances (3) More info

1	Topchii V. , Pertsev N. Application of a multitype branching processes on a graph to the model of the HIV infection development The 5th International Workshop on Branching Processes and their Applications 06-22 Apr 2021
2	Pertsev N.V. , Bocharov G.A. Modeling of HIV-1 infection dynamics based on the compartment model MATHEMATICAL MODELLING IN BIOMEDICINE 30 Sep - 4 Oct 2019
3	Loginov К.К. , Pertsev N.V. Stochastic compartmental model of HIV-1 infection MATHEMATICAL MODELLING IN BIOMEDICINE 30 Sep - 4 Oct 2019

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