Structured populations with diffusion and Feller conditions
We prove a weak maximum principle for structured population models with dynamic boundary conditions. We establish existence and positivity of solutions of these models and investigate the asymptotic behaviour of solutions. In particular, we analyse so called size profile.
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| Format: | Article |
| Language: | English |
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AIMS Press
2015-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015002 |
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| _version_ | 1832590102805610496 |
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| author | Agnieszka Bartłomiejczyk Henryk Leszczyński |
| author_facet | Agnieszka Bartłomiejczyk Henryk Leszczyński |
| author_sort | Agnieszka Bartłomiejczyk |
| collection | DOAJ |
| description | We prove a weak maximum principle for structured population models with dynamic boundary conditions. We establish existence and positivity of solutions of these models and investigate the asymptotic behaviour of solutions. In particular, we analyse so called size profile. |
| format | Article |
| id | doaj-art-24b963d1a83545f4ac9f06c60188cd85 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-24b963d1a83545f4ac9f06c60188cd852025-01-24T02:35:04ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-11-0113226127910.3934/mbe.2015002Structured populations with diffusion and Feller conditionsAgnieszka Bartłomiejczyk0Henryk Leszczyński1Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Gabriela Narutowicza 11/12, 80-233 GdańskInstitute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 GdańskWe prove a weak maximum principle for structured population models with dynamic boundary conditions. We establish existence and positivity of solutions of these models and investigate the asymptotic behaviour of solutions. In particular, we analyse so called size profile.https://www.aimspress.com/article/doi/10.3934/mbe.2015002size-structured modeldiffusionfourier analysis.size profilemaximum principlefeller boundary condition |
| spellingShingle | Agnieszka Bartłomiejczyk Henryk Leszczyński Structured populations with diffusion and Feller conditions Mathematical Biosciences and Engineering size-structured model diffusion fourier analysis. size profile maximum principle feller boundary condition |
| title | Structured populations with diffusion and Feller conditions |
| title_full | Structured populations with diffusion and Feller conditions |
| title_fullStr | Structured populations with diffusion and Feller conditions |
| title_full_unstemmed | Structured populations with diffusion and Feller conditions |
| title_short | Structured populations with diffusion and Feller conditions |
| title_sort | structured populations with diffusion and feller conditions |
| topic | size-structured model diffusion fourier analysis. size profile maximum principle feller boundary condition |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015002 |
| work_keys_str_mv | AT agnieszkabartłomiejczyk structuredpopulationswithdiffusionandfellerconditions AT henrykleszczynski structuredpopulationswithdiffusionandfellerconditions |