Optimal Harvesting for an Age-Spatial-Structured Population Dynamic Model with External Mortality | Zendy

Yong Han Kang | Zendy; Mi Jin Lee | Zendy; Il Hyo Jung | Zendy

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Optimal Harvesting for an Age-Spatial-Structured Population Dynamic Model with External Mortality

Author(s) -

Yong Han Kang,

Mi Jin Lee,

Il Hyo Jung

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/184815

Subject(s) - uniqueness , mathematics , population model , population , optimal control , mathematical optimization , mortality rate , nonlinear system , control theory (sociology) , control (management) , computer science , demography , mathematical analysis , artificial intelligence , physics , quantum mechanics , sociology

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

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