Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (2): 243-0248.
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NA Yang, WANG Hongyue, DU Runmei
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Abstract: We considered the optimal control problem for a class of intraspecific competition with parabolic systems under Neumann boundary conditions. Firstly, we discussed the competition relationships within the population and the interactions between the populations in the system, and defined the objective functional as the profit obtained from harvesting. Secondly, we proved the necessary condition for the existence of the optimal control in the system, and gave an expression for the optimal contorl.
Key words: parabolic system; , optimal control, Neumann boundary condition, competition model
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NA Yang, WANG Hongyue, DU Runmei. Optimal Control Problem of Intraspecific Competition Model[J].Journal of Jilin University Science Edition, 2024, 62(2): 243-0248.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2024/V62/I2/243
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