The Optimal Control and MLE of Parameters of a Stochastic Single-Species System
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 optim...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/676871 |
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| _version_ | 1832550174995513344 |
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| author | Huili Xiang Zhijun Liu |
| author_facet | Huili Xiang Zhijun Liu |
| author_sort | Huili Xiang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e0efd6d5c64444478f74742e5be304fd |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e0efd6d5c64444478f74742e5be304fd2025-02-03T06:07:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/676871676871The Optimal Control and MLE of Parameters of a Stochastic Single-Species SystemHuili Xiang0Zhijun Liu1Department of Mathematics, Hubei University for Nationalities, Hubei, Enshi 445000, ChinaDepartment of Mathematics, Hubei University for Nationalities, Hubei, Enshi 445000, ChinaThis 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.http://dx.doi.org/10.1155/2012/676871 |
| spellingShingle | Huili Xiang Zhijun Liu The Optimal Control and MLE of Parameters of a Stochastic Single-Species System Discrete Dynamics in Nature and Society |
| title | The Optimal Control and MLE of Parameters of a Stochastic Single-Species System |
| title_full | The Optimal Control and MLE of Parameters of a Stochastic Single-Species System |
| title_fullStr | The Optimal Control and MLE of Parameters of a Stochastic Single-Species System |
| title_full_unstemmed | The Optimal Control and MLE of Parameters of a Stochastic Single-Species System |
| title_short | The Optimal Control and MLE of Parameters of a Stochastic Single-Species System |
| title_sort | optimal control and mle of parameters of a stochastic single species system |
| url | http://dx.doi.org/10.1155/2012/676871 |
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