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Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (5): 683-695 .doi: https://doi.org/10.1007/s10483-008-0512-y

• Articles • Previous Articles    

Optimal harvesting for an age-dependent n-dimensional food chain model

LUO Zhi-xue, DU Ming-yin   

    1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China;
    2. Faculty of Science, Hangzhou Institute of Electronic Engineering, Hangzhou 310018, P. R. China
  • Received:2007-07-02 Revised:2008-03-18 Online:2008-05-18 Published:2008-05-18
  • Contact: LUO Zhi-xue

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Abstract: This paper is concerned with optimal harvesting policy for an age-dependent n-dimensional food chain model. The existence and uniqueness of non-negative solution of the system are proved using the fixed point theorem. By Mazur's theorem, the existence of optimal control strategy is demonstrated and optimality conditions derived by means of normal cone.

2010 MSC Number: 

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