Optimal harvesting for nonlinear age-dependent population dynamics

  • Authors:

  • Chun Zhao;Ping Zhao;Mian-Sen Wang

  • Affiliations:

  • Faculty of Mathematics Science, Tianjin Normal University, Tianjin 300384, PR China and Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, PR China;Faculty of Science, Beijing Jiaotong University, Beijing 100044, PR China;Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, PR China

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2006

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Abstract

In this paper, we investigate an optimal harvesting problem for nonlinear age-dependent population dynamics. Using the concept of the normal cone, we also obtain the necessary conditions for optimality for the optimal control problem. Using Ekeland's variational principle, we demonstrate the existence and uniqueness of solutions for the optimal control problem. Finally, we give the synthesis of the optimal feedback law.