Pertsev Nikolai Viktorovich

Publications in Math-Net.Ru

1. Mathematical modeling of the initial period of spread of HIV-1 infection in the lymphatic node
   
   Mat. Biolog. Bioinform., 19:1 (2024),  112–154
2. Stability of solutions to linear systems of population dynamics differential equations with variable delay
   
   Mat. Tr., 27:3 (2024),  74–98
3. Numerical modeling of the epidemic process taking into account time- and place-local contacts of individuals
   
   Sib. Èlektron. Mat. Izv., 21:2 (2024),  702–728
4. Numerical stochastic modeling of a spatially heterogeneous population
   
   Sib. Zh. Vychisl. Mat., 27:2 (2024),  217–232
5. Stochastic modeling in immunology based on a stage-dependent framework with non-Markov constraints for individual cell and pathogen dynamics
   
   Mat. Biolog. Bioinform., 18:2 (2023),  543–567
6. 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
7. Critical Multitype Branching Processes on a Graph and the Model of the HIV Infection Development
   
   Sib. Èlektron. Mat. Izv., 20:1 (2023),  465–476
8. Stochastic modeling of local by time and location contacts of individuals in the epidemic process
   
   Sib. Zh. Ind. Mat., 26:2 (2023),  94–112
9. 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
10. Numerical simulation of dynamics of T-lymphocytes population in the lymph node
    
    Sib. Zh. Ind. Mat., 25:4 (2022),  136–152
11. Numerical stochastic modeling of dynamics of interacting populations
    
    Sib. Zh. Ind. Mat., 25:3 (2022),  135–153
12. Direct statistical modeling of spread of epidemic based on a stage-dependent stochastic model
    
    Mat. Biolog. Bioinform., 16:2 (2021),  169–200
13. 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
14. Construction of exponentially decreasing estimates of solutions to a Cauchy problem for some nonlinear systems of delay differential equations
    
    Sib. Èlektron. Mat. Izv., 18:1 (2021),  579–598
15. Application of differential equations with variable delay in the compartmental models of living systems
    
    Sib. Zh. Ind. Mat., 24:3 (2021),  55–73
16. Direct statistical modeling of HIV-1 infection based on a non-Markovian stochastic model
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:8 (2021),  1245–1268
17. Асимптотическое поведение решений интегро-дифференциального уравнения с запаздыванием, возникающего в моделях живых систем
    
    Mat. Tr., 23:2 (2020),  122–147
18. Analysis of a stage-dependent epidemic model based on a non-Markov random process
    
    Sib. Zh. Ind. Mat., 23:3 (2020),  105–122
19. Analysis of an epidemic mathematical model based on delay differential equations
    
    Sib. Zh. Ind. Mat., 23:2 (2020),  119–132
20. Exponential decay estimates for some components of solutions to the nonlinear delay differential equations of the living system models
    
    Sibirsk. Mat. Zh., 61:4 (2020),  901–912
21. Stochastic Modeling of Compartmental Systems with Pipes
    
    Mat. Biolog. Bioinform., 14:1 (2019),  188–203
22. Stability of linear delay differential equations arising in models of living systems
    
    Mat. Tr., 22:2 (2019),  157–174
23. Matrix stability and instability criteria for some systems of linear delay differential equations
    
    Sib. Èlektron. Mat. Izv., 16 (2019),  876–885
24. Stochastic analog of the dynamic model of HIV-1 infection described by delay differential equations
    
    Sib. Zh. Ind. Mat., 22:1 (2019),  74–89
25. Application of M-matrices for the study of mathematical models of living systems
    
    Mat. Biolog. Bioinform., 13:Suppl. (2018),  104–131
26. Application of M-matrices for the study of mathematical models of living systems
    
    Mat. Biolog. Bioinform., 13:1 (2018),  208–237
27. On local asymptotic stability of a model of epidemic process
    
    Sib. Èlektron. Mat. Izv., 15 (2018),  1301–1310
28. Global solvability and estimates of solutions to the Cauchy problem for the retarded functional differential equations that are used to model living systems
    
    Sibirsk. Mat. Zh., 59:1 (2018),  143–157
29. Investigation of solutions to one family of mathematical models of living systems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 9,  54–68
30. Some properties of solutions to a family of integral equations arising in the models of living systems
    
    Sibirsk. Mat. Zh., 58:3 (2017),  673–685
31. The correctness of a family of integral and delay differential equations, used in models of living systems
    
    Sib. Èlektron. Mat. Izv., 13 (2016),  815–828
32. Analysis of solutions to mathematical models of epidemic processes with common structural properties
    
    Sib. Zh. Ind. Mat., 18:2 (2015),  85–98
33. On the local stability of a population dynamics model with delay
    
    Sib. Èlektron. Mat. Izv., 11 (2014),  951–957
34. A continuous-discrete model of the spread and control of tuberculosis
    
    Sib. Zh. Ind. Mat., 17:3 (2014),  86–97
35. Analysis of the Asymptotic Behavior Solutions of Some Models of Epidemic Processes
    
    Mat. Biolog. Bioinform., 8:1 (2013),  21–48
36. Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations
    
    Mat. Tr., 16:2 (2013),  111–141
37. Two-sided estimates for solutions to the Cauchy problem for Wazewski linear differential systems with delay
    
    Sibirsk. Mat. Zh., 54:6 (2013),  1368–1379
38. Modeling population dynamics under the influence of harmful substances on the individual reproduction process
    
    Avtomat. i Telemekh., 2011, no. 1,  141–153
39. 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
40. Statistical modeling of the dynamics of populations affected by toxic pollutants
    
    Sib. Zh. Ind. Mat., 14:2 (2011),  84–94
41. Efficiency analysis of the programs of exposure of individuals predisposed to colorectal cancer based on imitational modeling
    
    UBS, 35 (2011),  207–236
42. A mathematical model for the dynamics of a population affected by pollutants
    
    Sib. Zh. Ind. Mat., 13:1 (2010),  109–120
43. Индивидуум-ориентированная стохастическая модель распространения туберкулеза
    
    Sib. Zh. Ind. Mat., 12:2 (2009),  97–110
44. Construction of two-sided estimates for solutions of some systems of differential equations with aftereffect
    
    Sib. Zh. Ind. Mat., 8:4 (2005),  60–72
45. Behavior of solutions of a dissipative integral Lotka-Volterra model
    
    Sib. Zh. Ind. Mat., 6:2 (2003),  95–106
46. Application of the monotone method and of $M$-matrices to the analysis of the behavior of solutions of some models of biological processes
    
    Sib. Zh. Ind. Mat., 5:4 (2002),  110–122
47. Two-sided estimates for solutions of an integrodifferential equation that describes the hematogenic process
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 6,  58–62
48. On solutions of the Lotka–Volterra model taking into account the boundedness of the life spans of species of competing populations
    
    Differ. Uravn., 35:9 (1999),  1187–1193
49. On bounded solutions of a class of systems of integral equations that arise in models of biological processes
    
    Differ. Uravn., 35:6 (1999),  831–836
50. On the stability of the zero solution of a system of integrodifferential equations that arise in models of population dynamics
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 8,  47–53
51. Investigation of solutions of the integral Lotka–Volterra model
    
    Sib. Zh. Ind. Mat., 2:2 (1999),  153–167
52. On the asymptotic behavior of solutions of a system of linear differential equations with delay
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 9,  48–52
53. Stability of the equilibrium states of functional-differential equations of retarded type that have the property of mixed monotonicity
    
    Dokl. Akad. Nauk SSSR, 297:1 (1987),  23–25