On Waves and Distributions in Population Dynamics
We discuss dynamics of spatially distributed interacting populations. The following two cases are discussed: (I.) migration waves for the case or negligible random fluctuations of the populations densities and (II.) probability distributions of the spatially averaged populations densities for the ca...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2012-09-01
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| Series: | Biomath |
| Subjects: | |
| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/13 |
| _version_ | 1797716276300218368 |
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| author | Nikolay Kolev Vitanov Zlatinka Ivanova Dimitrova |
| author_facet | Nikolay Kolev Vitanov Zlatinka Ivanova Dimitrova |
| author_sort | Nikolay Kolev Vitanov |
| collection | DOAJ |
| description | We discuss dynamics of spatially distributed interacting populations. The following two cases are discussed: (I.) migration waves for the case or negligible random fluctuations of the populations densities and (II.) probability distributions of the spatially averaged populations densities for the case of
significant random fluctuations of these densities. For each of the cases we obtain in general a system of differential equations that is treated analytically (when possible) or numerically. The obtained results are discussed from the point of view of
population dynamics. |
| first_indexed | 2024-03-12T08:19:11Z |
| format | Article |
| id | doaj.art-c5021de67c6b4503af040ed07ef55f80 |
| institution | Directory Open Access Journal |
| issn | 1314-684X 1314-7218 |
| language | English |
| last_indexed | 2024-03-12T08:19:11Z |
| publishDate | 2012-09-01 |
| publisher | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics |
| record_format | Article |
| series | Biomath |
| spelling | doaj.art-c5021de67c6b4503af040ed07ef55f802023-09-02T18:39:04ZengBulgarian Academy of Sciences, Institute of Mathematics and InformaticsBiomath1314-684X1314-72182012-09-011110.11145/j.biomath.2012.09.25311On Waves and Distributions in Population DynamicsNikolay Kolev Vitanov0Zlatinka Ivanova Dimitrova1Institute of Mechanics Bulgarian Academy of Sciences"G. Nadjakov" Institute of Solid State Physics Bulgarian Academy of SciencesWe discuss dynamics of spatially distributed interacting populations. The following two cases are discussed: (I.) migration waves for the case or negligible random fluctuations of the populations densities and (II.) probability distributions of the spatially averaged populations densities for the case of significant random fluctuations of these densities. For each of the cases we obtain in general a system of differential equations that is treated analytically (when possible) or numerically. The obtained results are discussed from the point of view of population dynamics.http://www.biomathforum.org/biomath/index.php/biomath/article/view/13population dynamicsinteracting populationsnonlinear partial differential equationsfluctuationsFokker-Planck equation |
| spellingShingle | Nikolay Kolev Vitanov Zlatinka Ivanova Dimitrova On Waves and Distributions in Population Dynamics Biomath population dynamics interacting populations nonlinear partial differential equations fluctuations Fokker-Planck equation |
| title | On Waves and Distributions in Population Dynamics |
| title_full | On Waves and Distributions in Population Dynamics |
| title_fullStr | On Waves and Distributions in Population Dynamics |
| title_full_unstemmed | On Waves and Distributions in Population Dynamics |
| title_short | On Waves and Distributions in Population Dynamics |
| title_sort | on waves and distributions in population dynamics |
| topic | population dynamics interacting populations nonlinear partial differential equations fluctuations Fokker-Planck equation |
| url | http://www.biomathforum.org/biomath/index.php/biomath/article/view/13 |
| work_keys_str_mv | AT nikolaykolevvitanov onwavesanddistributionsinpopulationdynamics AT zlatinkaivanovadimitrova onwavesanddistributionsinpopulationdynamics |