JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (11): 61-70.doi: 10.6040/j.issn.1671-9352.0.2021.063

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Optimal control of competitive population system with hierarchical structure

XU Yang, ZHAO Chun*   

  1. College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China
  • Published:2021-11-15

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Abstract: The optimal control problem of a class of competitive population system based on individual level difference is studied. Firstly, the existence and uniqueness of the solution of this system are obtained by the fixed point theorem, then the continuous dependence of the solution on the control variable is proved and the necessary conditions of optimal control can be get by using the concepts of conjugate system and the tangent normal cone theory.

Key words: individual level, predator-prey system, optimal control, normal cone

CLC Number: 

  • O232
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