An exact viscosity solution to a Hamilton–Jacobi–Bellman quasi-variational inequality for animal population management

An exact viscosity solution to a Hamilton–Jacobi–Bellman quasi-variational inequality for animal population management

Abstract We formulate a stochastic impulse control model for animal population management and a candidate of exact solutions to a Hamilton–Jacobi–Bellman quasi-variational inequality. This model has a qualitatively different functional form of the performance index from the existing monotone ones. S...

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Bibliographic Details
Main Authors: Yuta Yaegashi, Hidekazu Yoshioka, Kentaro Tsugihashi, Masayuki Fujihara
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of Mathematics in Industry
Subjects:
Population management
Threshold control
Hamilton–Jacobi–Bellman quasi-variational inequalities
Viscosity solution
Feeding damage
Uniqueness and existence of solution
Online Access:http://link.springer.com/article/10.1186/s13362-019-0062-y

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http://link.springer.com/article/10.1186/s13362-019-0062-y

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