Identification of the Interaction Coefficients in an Intraspecific Competition Model with Diffusion Terms
In this paper, we are interested in identifying the coefficients of the interaction terms in a parabolic system, which describes two subpopulations of the same species competing for the same resources. We use optimal the control theory to study the identification problem. Taking the unknown coeffici...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/2275200 |
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| _version_ | 1832546170005618688 |
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| author | Yang Na Hongyue Wang Runmei Du Lina Hao |
| author_facet | Yang Na Hongyue Wang Runmei Du Lina Hao |
| author_sort | Yang Na |
| collection | DOAJ |
| description | In this paper, we are interested in identifying the coefficients of the interaction terms in a parabolic system, which describes two subpopulations of the same species competing for the same resources. We use optimal the control theory to study the identification problem. Taking the unknown coefficients as control functions, the identification problem is transformed into an optimal control problem. We prove the existence and local uniqueness of the optimal control, derive the first-order necessary condition, and get the formula of the optimal control. |
| format | Article |
| id | doaj-art-f005ddb3695f4e1488fa06c665c456f2 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f005ddb3695f4e1488fa06c665c456f22025-02-03T07:23:45ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/2275200Identification of the Interaction Coefficients in an Intraspecific Competition Model with Diffusion TermsYang Na0Hongyue Wang1Runmei Du2Lina Hao3School of Mathematics and StatisticsSchool of Mathematics and StatisticsSchool of Mathematics and StatisticsSchool of Mathematics and StatisticsIn this paper, we are interested in identifying the coefficients of the interaction terms in a parabolic system, which describes two subpopulations of the same species competing for the same resources. We use optimal the control theory to study the identification problem. Taking the unknown coefficients as control functions, the identification problem is transformed into an optimal control problem. We prove the existence and local uniqueness of the optimal control, derive the first-order necessary condition, and get the formula of the optimal control.http://dx.doi.org/10.1155/2024/2275200 |
| spellingShingle | Yang Na Hongyue Wang Runmei Du Lina Hao Identification of the Interaction Coefficients in an Intraspecific Competition Model with Diffusion Terms Journal of Mathematics |
| title | Identification of the Interaction Coefficients in an Intraspecific Competition Model with Diffusion Terms |
| title_full | Identification of the Interaction Coefficients in an Intraspecific Competition Model with Diffusion Terms |
| title_fullStr | Identification of the Interaction Coefficients in an Intraspecific Competition Model with Diffusion Terms |
| title_full_unstemmed | Identification of the Interaction Coefficients in an Intraspecific Competition Model with Diffusion Terms |
| title_short | Identification of the Interaction Coefficients in an Intraspecific Competition Model with Diffusion Terms |
| title_sort | identification of the interaction coefficients in an intraspecific competition model with diffusion terms |
| url | http://dx.doi.org/10.1155/2024/2275200 |
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