Year: 2021
Author: Xiaoni Wang, Gaihui Guo, Jian Li
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 808–828
Abstract
The work deals with an optimal control problem for a reaction-diffusion system comprising two competing populations, one of which is a prey for a third population. In order to maximise the total density of these populations, the existence and uniqueness of a positive strong solution of a controlled system are studied. After that, the techniques of minimal sequences is used in order to show the existence of an optimal solution. The first and second order optimality conditions are also constructed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.281020.290421
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 808–828
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Optimal control reaction-diffusion controlled system optimality conditions.
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