JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (9): 69-75.doi: 10.6040/j.issn.1671-9352.0.2018.721

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Optimal control of a size-structured system with two species in periodic environments

LIANG Li-yu, LUO Zhi-xue   

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Online:2019-09-20 Published:2019-07-30

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Abstract: The optimal control of a prey-predator population system with size-structure in periodic environments is studied. First of all, the existence of the optimal solution of optimal control is proved by applying Mazur theorem in functional analysis. Then, the adjoint system is derived and the necessary conditions for optimal control are obtained by means of tangent and normal cones in nonlinear analysis.

Key words: periodic environment, size-structure, adjoint system, optimal control

CLC Number: 

  • O175.1
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