Optimal harvesting in an integrodifference population model

Optimal harvesting in an integrodifference population model

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Article ID: iaor20081049
Country: United Kingdom
Volume: 27
Issue: 2
Start Page Number: 61
End Page Number: 75
Publication Date: Mar 2006
Journal: Optimal Control Applications & Methods
Authors: , ,
Keywords: differential equations
Abstract:

We consider the harvest of a certain proportion of a population that is modelled by an integrodifference equation. This model is discrete in time and continuous in the space variable. The dispersal of the population is modelled by an integral of the population density against a kernel function. The control is the harvest, and the goal is to maximize the profit. The optimal control is characterized by introducing an adjoint function. This paper gives the first optimal control result in integrodifference equations. Numerical results and interpretations are given for four different kernels.

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