OPTIMAL BIRTH CONTROL FOR AN AGE-DEPENDENT COMPETITION SYSTEM OF N SPECIES

Zhixue LUO

Journal of Systems Science & Complexity ›› 2007, Vol. 20 ›› Issue (3) : 403-415.

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PDF(210 KB)
Journal of Systems Science & Complexity ›› 2007, Vol. 20 ›› Issue (3) : 403-415.
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OPTIMAL BIRTH CONTROL FOR AN AGE-DEPENDENT COMPETITION SYSTEM OF N SPECIES

  • Zhixue LUO
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Abstract

In this paper, we investigate optimal policies for an age-dependent n-dimensional competition system, which is controlled by fertility. By using Dubovitskii-Milyutin's general theory, the maximum principles are obtained for the problems with free terminal states, infinite horizon, and target sets, respectively.

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Age-dependence / optimal control / population model / system of partial differential equations / the maximum principle.

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Zhixue LUO. OPTIMAL BIRTH CONTROL FOR AN AGE-DEPENDENT COMPETITION SYSTEM OF N SPECIES. Journal of Systems Science and Complexity, 2007, 20(3): 403-415
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