The Optimal Control and MLE of Parameters of a Stochastic Single-Species System | Zendy

Huili Xiang | Zendy; Zhijun Liu | Zendy

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The Optimal Control and MLE of Parameters of a Stochastic Single-Species System

Author(s) -

Huili Xiang,

Zhijun Liu

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/676871

Subject(s) - maximum likelihood , moment (physics) , mathematics , optimal control , estimation , statistics , estimation theory , mathematical optimization , value (mathematics) , control (management) , computer science , control theory (sociology) , physics , management , classical mechanics , artificial intelligence , economics

This paper investigates the optimal control and MLE (maximum likelihood estimation) for a single-species system subject to random perturbation. With the help of the techniques of stochastic analysis and mathematical statistics, sufficient conditions for the optimal control threshold value, the optimal control moment, and the maximum likelihood estimation of parameters are established, respectively. An example is presented to illustrate the feasibility of our theoretical results

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