Optimal Harvesting for an Age-Dependent <em>n</em>-Dimensional Food Chain Model

LUO Zhi-xue; DU Ming-yin

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LUO Zhi-xue, DU Ming-yin. Optimal Harvesting for an Age-Dependent n-Dimensional Food Chain Model[J]. Applied Mathematics and Mechanics, 2008, 29(5): 618-630.

Citation:

LUO Zhi-xue, DU Ming-yin. Optimal Harvesting for an Age-Dependent n-Dimensional Food Chain Model[J]. Applied Mathematics and Mechanics, 2008, 29(5): 618-630.

Citation:

LUO Zhi-xue, DU Ming-yin. Optimal Harvesting for an Age-Dependent n-Dimensional Food Chain Model[J]. Applied Mathematics and Mechanics, 2008, 29(5): 618-630.

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Optimal Harvesting for an Age-Dependent n-Dimensional Food Chain Model

LUO Zhi-xue^1,2,
DU Ming-yin¹

1.
Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China;

Received Date: 2007-09-02
Rev Recd Date: 2008-03-18
Publish Date: 2008-05-15

Abstract

Abstract

Optimal harvesting policy for an age-dependent n-dimensional food chain model is studied.The existence and uniqueness of non-negative solution of the system were proved using the fixed point theorem.By Mazur's theorem,the existence of optimal control strategy was demonstrated and optimality conditions were derived by means of normal cone.
- food chain,
- age-dependence,
- optimal control,
- the maximum principle

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References(16)

References

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