Local existence for a general model of size-dependent population dynamics
We shall investigate a size structured population dynamics with aging and birth functions having general forms. The growth rate we deal with depends not only on the size but also on time. We show the existence of a local solution and continuous dependence on the initial data, which shows the uniquen...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | Abstract and Applied Analysis |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1085337597000353 |
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| _version_ | 1832564503840030720 |
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| author | Nobuyuki Kato Hiroyuki Torikata |
| author_facet | Nobuyuki Kato Hiroyuki Torikata |
| author_sort | Nobuyuki Kato |
| collection | DOAJ |
| description | We shall investigate a size structured population dynamics with
aging and birth functions having general forms. The growth rate we deal with depends not only on the size but also on time. We show the existence of a local solution and continuous dependence on the initial data, which shows the uniqueness of the solution as well. |
| format | Article |
| id | doaj-art-c9b1784c0c5f4ddd827feb34a9e82a90 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c9b1784c0c5f4ddd827feb34a9e82a902025-02-03T01:10:51ZengWileyAbstract and Applied Analysis1085-33751997-01-0123-420722610.1155/S1085337597000353Local existence for a general model of size-dependent population dynamicsNobuyuki Kato0Hiroyuki Torikata1Department of Mathematics, Shimane University, Matsue 690-8504, JapanDepartment of Mathematics, Shimane University, Matsue 690-8504, JapanWe shall investigate a size structured population dynamics with aging and birth functions having general forms. The growth rate we deal with depends not only on the size but also on time. We show the existence of a local solution and continuous dependence on the initial data, which shows the uniqueness of the solution as well.http://dx.doi.org/10.1155/S1085337597000353Population dynamicssize-dependentlocal existence of solutionsuniqueness of solutions. |
| spellingShingle | Nobuyuki Kato Hiroyuki Torikata Local existence for a general model of size-dependent population dynamics Abstract and Applied Analysis Population dynamics size-dependent local existence of solutions uniqueness of solutions. |
| title | Local existence for a general model of size-dependent population dynamics |
| title_full | Local existence for a general model of size-dependent population dynamics |
| title_fullStr | Local existence for a general model of size-dependent population dynamics |
| title_full_unstemmed | Local existence for a general model of size-dependent population dynamics |
| title_short | Local existence for a general model of size-dependent population dynamics |
| title_sort | local existence for a general model of size dependent population dynamics |
| topic | Population dynamics size-dependent local existence of solutions uniqueness of solutions. |
| url | http://dx.doi.org/10.1155/S1085337597000353 |
| work_keys_str_mv | AT nobuyukikato localexistenceforageneralmodelofsizedependentpopulationdynamics AT hiroyukitorikata localexistenceforageneralmodelofsizedependentpopulationdynamics |