Optimal control of age-structured population dynamics for spread of universally fatal diseases |
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Authors: | Bing Sun Mi-Xia Wu |
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Affiliation: | 1. School of Mathematics , Beijing Institute of Technology , Beijing 100081 , P.R. China sunamss@gmail.com;3. College of Applied Sciences , Beijing University of Technology , Beijing 100124 , P.R. China |
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Abstract: | This article is concerned with the optimal control problem of age-structured population dynamics for the spread of universally fatal diseases. The existence and uniqueness of solution of the system, which consists of a group of partial differential equations with nonlocal boundary conditions, is proved. The Dubovitskii and Milyutin functional analytical approach is adopted in the investigation of the Pontryagin maximum principle of the system. The necessary condition is presented for the optimal control problem in fixed final horizon case. Finally, a remark on how to utilize the obtained results is also made. |
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Keywords: | optimal control maximum principle necessary condition age-structured population dynamics |
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