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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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2024-01, Vol.2024 (1)
Main Authors: Wang, Hongyue, Du, Runmei, Hao, Lina
Format: Article
Language:English
Subjects:
Coefficients
Competition
Control theory
Optimal control
Partial differential equations
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Summary: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.
ISSN:2314-4629
2314-4785
DOI:10.1155/2024/2275200