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
Hauptverfasser: Luo, Zhixue, Fan, Xueliang
Format: Artikel
Sprache:eng
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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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.11.069