Speciality: 05.13.16 (Application of Computers and Mathematical Models in Science)
Keywords: communities of interecting individuals, population dynamics, immunology, epidemiology, demography, delay integral and differential equations, random processes, branching random processes, Monte-Carlo method
UDC: 517.958, 57, 519.218.28, 519.245, 57.022
MSC: 60G20, 68U20, 34D20, 92-08

Subject:

creation a mathematical models of living systems, construction analytical and numerical methods for their analysis

Main publications:

1. Pertsev N.V., Loginov K.K., “Numerical stochastic modelling of the proliferation process of naive T-lymphocytes in the lymph node”, Russian Journal of Numerical Analysis and Mathematical Modelling, 40:5 (2025), 405–417
2. Pertsev N.V., Topchii V.A., Loginov K.K., “Numerical Stochastic Simulation of Spatially Heterogeneous Population”, Numerical Analysis and Applications, 17:2 (2024), 174–187
3. Pertsev N.V., Topchii V.A., Loginov K.K., “Numerical Stochastic Modeling of Dynamics of Interacting Populations”, Journal of Applied and Industrial Mathematics, 16:3 (2022), 524–539
4. 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., 13:9 (2020), 2365–2384
5. Pertsev N.V., “Global solvability and estimates for solutions to the Cauchy problem for the retarded functional differential equations that are used to the model living systems”, Siberian Mathematical Journal, 59:1 (2018), 113–125

Publications

Talks and lectures

Personal pages:

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Organisations:

• Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk Branch
• Omsk State Pedagogical Institute
• Omsk State University