Overtaking optimal control problem for an age-dependent competition system of n species

Overtaking optimal control problem for an age-dependent competition system of n species

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Article ID: iaor20123612
Volume: 218
Issue: 17
Start Page Number: 8561
End Page Number: 8569
Publication Date: May 2012
Journal: Applied Mathematics and Computation
Authors: , ,
Keywords: optimization
Abstract:

In this paper, the overtaking optimal control problem for an age‐dependent competition model of n species with unbounded time interval is considered. The existence of overtaking optimal policy is proved and a maximum principle is carefully derived under less restrictive conditions. Weak and strong turnpike properties of optimal trajectories are established.

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