Computer Simulation of Population Dynamics inside the Urban Environment
In this paper using a mathematical model of the so-called "space-dynamic" approach we investigate the problem of development and temporal dynamics of different urban population groups. For simplicity, we consider an interaction of only two population groups inside a single urban area with...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Russian |
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The Fund for Promotion of Internet media, IT education, human development «League Internet Media»
2022-07-01
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| Series: | Современные информационные технологии и IT-образование |
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| Online Access: | http://sitito.cs.msu.ru/index.php/SITITO/article/view/849 |
| _version_ | 1797955816257486848 |
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| author | Igor Inovenkov Vladimir Nefedov Vasiliy Tikhomirov |
| author_facet | Igor Inovenkov Vladimir Nefedov Vasiliy Tikhomirov |
| author_sort | Igor Inovenkov |
| collection | DOAJ |
| description | In this paper using a mathematical model of the so-called "space-dynamic" approach we investigate the problem of development and temporal dynamics of different urban population groups.
For simplicity, we consider an interaction of only two population groups inside a single urban area with axial symmetry. This problem can be described qualitatively by a system of two non-stationary nonlinear differential equations of the diffusion type with boundary conditions of the third type.
The results of numerical simulations show that with a suitable choice of the diffusion coefficients and interaction functions between different population groups we can receive different scenarios of population dynamics: from complete displacement of one population group by another (originally more "aggressive") to the "peaceful" situation of co-existence of them together. |
| first_indexed | 2024-04-10T23:39:04Z |
| format | Article |
| id | doaj.art-24672b5a4f6b4302b415d5de8010782a |
| institution | Directory Open Access Journal |
| issn | 2411-1473 |
| language | Russian |
| last_indexed | 2024-04-10T23:39:04Z |
| publishDate | 2022-07-01 |
| publisher | The Fund for Promotion of Internet media, IT education, human development «League Internet Media» |
| record_format | Article |
| series | Современные информационные технологии и IT-образование |
| spelling | doaj.art-24672b5a4f6b4302b415d5de8010782a2023-01-11T11:55:08ZrusThe Fund for Promotion of Internet media, IT education, human development «League Internet Media»Современные информационные технологии и IT-образование2411-14732022-07-0118230030910.25559/SITITO.18.202202.300-309Computer Simulation of Population Dynamics inside the Urban EnvironmentIgor Inovenkov0https://orcid.org/0000-0003-4633-4404Vladimir Nefedov1https://orcid.org/0000-0003-4602-5070Vasiliy Tikhomirov2https://orcid.org/0000-0002-5569-1502Lomonosov Moscow State University, Moscow, RussiaLomonosov Moscow State University, Moscow, RussiaLomonosov Moscow State University, Moscow, RussiaIn this paper using a mathematical model of the so-called "space-dynamic" approach we investigate the problem of development and temporal dynamics of different urban population groups. For simplicity, we consider an interaction of only two population groups inside a single urban area with axial symmetry. This problem can be described qualitatively by a system of two non-stationary nonlinear differential equations of the diffusion type with boundary conditions of the third type. The results of numerical simulations show that with a suitable choice of the diffusion coefficients and interaction functions between different population groups we can receive different scenarios of population dynamics: from complete displacement of one population group by another (originally more "aggressive") to the "peaceful" situation of co-existence of them together.http://sitito.cs.msu.ru/index.php/SITITO/article/view/849mathematical modelingthe urban populationthe non-linear differential equations of the diffusion typespatiotemporal dynamics of urban populationstable and unstable regimes |
| spellingShingle | Igor Inovenkov Vladimir Nefedov Vasiliy Tikhomirov Computer Simulation of Population Dynamics inside the Urban Environment Современные информационные технологии и IT-образование mathematical modeling the urban population the non-linear differential equations of the diffusion type spatiotemporal dynamics of urban population stable and unstable regimes |
| title | Computer Simulation of Population Dynamics inside the Urban Environment |
| title_full | Computer Simulation of Population Dynamics inside the Urban Environment |
| title_fullStr | Computer Simulation of Population Dynamics inside the Urban Environment |
| title_full_unstemmed | Computer Simulation of Population Dynamics inside the Urban Environment |
| title_short | Computer Simulation of Population Dynamics inside the Urban Environment |
| title_sort | computer simulation of population dynamics inside the urban environment |
| topic | mathematical modeling the urban population the non-linear differential equations of the diffusion type spatiotemporal dynamics of urban population stable and unstable regimes |
| url | http://sitito.cs.msu.ru/index.php/SITITO/article/view/849 |
| work_keys_str_mv | AT igorinovenkov computersimulationofpopulationdynamicsinsidetheurbanenvironment AT vladimirnefedov computersimulationofpopulationdynamicsinsidetheurbanenvironment AT vasiliytikhomirov computersimulationofpopulationdynamicsinsidetheurbanenvironment |