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2012 Optimal Harvesting for an Age-Spatial-Structured Population Dynamic Model with External Mortality
Yong Han Kang, Mi Jin Lee, Il Hyo Jung
Abstr. Appl. Anal. 2012(SI02): 1-14 (2012). DOI: 10.1155/2012/184815

Abstract

We study an optimal harvesting for a nonlinear age-spatial-structured population dynamic model, where the dynamic system contains an external mortality rate depending on the total population size. The total mortality consists of two types: the natural, and external mortality and the external mortality reflects the effects of external environmental causes. We prove the existence and uniqueness of solutions for the population dynamic model. We also derive a sufficient condition for optimal harvesting and some necessary conditions for optimality in an optimal control problem relating to the population dynamic model. The results may be applied to an optimal harvesting for some realistic biological models.

Citation

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Yong Han Kang. Mi Jin Lee. Il Hyo Jung. "Optimal Harvesting for an Age-Spatial-Structured Population Dynamic Model with External Mortality." Abstr. Appl. Anal. 2012 (SI02) 1 - 14, 2012. https://doi.org/10.1155/2012/184815

Information

Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1256.92040
MathSciNet: MR3004911
Digital Object Identifier: 10.1155/2012/184815

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI02 • 2012
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