05.13.18; 05.13.17 (Mathematical modeling, numerical methods, and the program systems; Theoretical foundation for informatics)
E-mail:
Keywords:
method Monte-Carlo, simulation modelling of population dynamics, non-stationary environment, epidemiology, immunology
UDC:
519.245, 57.022
Subject:
simulation modelling of population dynamics
Main publications:
N. V. Pertsev, K. K. Loginov, “Finding the parameters of exponential estimates of solutions to the Cauchy problem for some systems of linear delay differential equations”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1307–1318
N. V. Pertsev, K. K. Loginov, V. A. Topchii, “Analysis of an epidemic mathematical model based on delay differential equations”, J. Appl. Industr. Math., 14:2 (2020), 394–404
N. V. Pertsev, K. K. Loginov, V. A. Topchii, “Analysis of a stage-dependent epidemic model based on a non-Markov random process”, J. Appl. Industr. Math., 14:3 (2020), 566–580
K. K. Loginov, N. V. Pertsev, Mat. Tr., 23:2 (2020), 122–147
K. K. Loginov, N. V. Pertsev, V. A. Topchii, “Stochastic Modeling of Compartmental Systems with Pipes”, Mat. Biolog. Bioinform., 14:1 (2019), 188–203
N. V. Pertsev, B. Yu. Pichugin, K. K. Loginov, “Stochastic analog of the dynamic model of HIV-1 infection described by delay differential equations”, J. Appl. Industr. Math., 13:1 (2019), 103–117
N. V. Pertsev, K. K. Loginov, “Stochastic model of dynamics of biological community in conditions of consumption by individuals of harmful food resources”, Mat. Biolog. Bioinform., 6:1 (2011), 1–13
N. V. Pertsev, B. Yu. Pichugin, K. K. Loginov, “Statistical modeling of the dynamics of populations affected by toxic pollutants”, Sib. Zh. Ind. Mat., 14:2 (2011), 84–94
N. V. Pertsev, V. A. Topchii, K. K. Loginov, “Numerical stochastic modeling of a spatially heterogeneous population”, Sib. Zh. Vychisl. Mat., 27:2 (2024), 217–232
2023
2.
N. V. Pertsev, V. A. Topchii, K. K. Loginov, “Stochastic modeling of local by time and location contacts of individuals in the epidemic process”, J. Appl. Industr. Math., 17:2 (2023), 355–369
3.
N. V. Pertsev, K. K. Loginov, “Stochastic modeling in immunology based on a stage-dependent framework with non-Markov constraints for individual cell and pathogen dynamics”, Matem. biologiya i bioinform., 18:2 (2023), 543–567;
N. V. Pertsev, V. A. Topchii, K. K. Loginov, “Stochastic modeling of the epidemic process based on a stage-dependent model with non-Markov constraints for individuals”, Mat. Biolog. Bioinform., 18:1 (2023), 145–176
2022
5.
N. V. Pertsev, G. A. Bocharov, K. K. Loginov, “Numerical simulation of dynamics of T-lymphocytes population
in the lymph node”, Sib. Zh. Ind. Mat., 25:4 (2022), 136–152
6.
N. V. Pertsev, V. A. Topchii, K. K. Loginov, “Numerical stochastic modeling of dynamics of interacting populations”, Sib. Zh. Ind. Mat., 25:3 (2022), 135–153
7.
N. V. Pertsev, K. K. Loginov, A. N. Lukashev, Yu. A. Vakulenko, “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”, Mat. Biolog. Bioinform., 17:1 (2022), 43–81
2021
8.
N. V. Pertsev, K. K. Loginov, “Finding the parameters of exponential estimates of solutions to the Cauchy problem for some systems of linear delay differential equations”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1307–1318
9.
G. A. Bocharov, K. K. Loginov, N. V. Pertsev, V. A. Topchii, “Direct statistical modeling of HIV-1 infection based on a non-Markovian stochastic model”, Comput. Math. Math. Phys., 61:8 (2021), 1229–1251
10.
K. K. Loginov, N. V. Pertsev, “Direct statistical modeling of spread of epidemic based on a stage-dependent stochastic model”, Mat. Biolog. Bioinform., 16:2 (2021), 169–200
2020
11.
N. V. Pertsev, K. K. Loginov, V. A. Topchii, “Analysis of an epidemic mathematical model based on delay differential equations”, J. Appl. Industr. Math., 14:2 (2020), 394–404
12.
N. V. Pertsev, K. K. Loginov, V. A. Topchii, “Analysis of a stage-dependent epidemic model based on a non-Markov random process”, J. Appl. Industr. Math., 14:3 (2020), 566–580
13.
K. K. Loginov, N. V. Pertsev, Mat. Tr., 23:2 (2020), 122–147
2019
14.
N. V. Pertsev, B. Yu. Pichugin, K. K. Loginov, “Stochastic analog of the dynamic model of HIV-1 infection described by delay differential equations”, J. Appl. Industr. Math., 13:1 (2019), 103–117
15.
K. K. Loginov, N. V. Pertsev, V. A. Topchii, “Stochastic Modeling of Compartmental Systems with Pipes”, Mat. Biolog. Bioinform., 14:1 (2019), 188–203
2011
16.
N. V. Pertsev, K. K. Loginov, “Stochastic model of dynamics of biological community in conditions of consumption by individuals of harmful food resources”, Mat. Biolog. Bioinform., 6:1 (2011), 1–13
17.
N. V. Pertsev, B. Yu. Pichugin, K. K. Loginov, “Statistical modeling of the dynamics of populations affected by toxic pollutants”, Sib. Zh. Ind. Mat., 14:2 (2011), 84–94
2024
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