Optimal control for an age-dependent competitive species model in a polluted environment
In this paper, a new age-dependent toxicant population model in an environment with small toxicant capacity is formulated, and the optimal control problem for this kind hybrid system is investigated. The existence and uniqueness of nonnegative solution of this model is obtained by using a fixed poin...
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Veröffentlicht in: | Applied mathematics and computation 2014-02, Vol.228, p.91-101 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper, a new age-dependent toxicant population model in an environment with small toxicant capacity is formulated, and the optimal control problem for this kind hybrid system is investigated. The existence and uniqueness of nonnegative solution of this model is obtained by using a fixed point theorem. The optimality conditions for the control problem are given by means of tangent-normal cone techniques in nonlinear functional analysis. The existence of optimal control policy is carefully verified by using of Ekeland’s variational principle. |
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ISSN: | 0096-3003 1873-5649 |
DOI: | 10.1016/j.amc.2013.11.069 |