Journal of applied mathematics & informatics
- Volume 24 Issue 1_2
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- Pages.49-64
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
OPTIMAL BIRTH CONTROL FOR COMPETITION SYSTEM OF THREE SPECIES WITH AGE-STRUCTURE
Abstract
In this paper, we investigate optimal policies for three age-dependent populations in a competition system, which is controlled by fertility. By using Dubovitskii-Milyutin's general theory, the maximum principles are obtained for problems with free terminal states, infinite horizon and target sets, respectively.
Keywords
- Population model;
- age-dependence;
- system of partial differential equations;
- optimal control;
- the maximum principle