The Control Data Method: A New Method of Modeling in Population Dynamics
A novel modeling method for population dynamics is developed. Based on the classical Lotka-Volterra model, we construct a new predator-prey model with unknown parameters to simulate the behaviors of predator and prey. Using a the approximation property and the machine learning approach of artificial...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/326161 |
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| _version_ | 1832551361297776640 |
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| author | Lin-Fei Nie Zhi-Dong Teng |
| author_facet | Lin-Fei Nie Zhi-Dong Teng |
| author_sort | Lin-Fei Nie |
| collection | DOAJ |
| description | A novel modeling method for population dynamics is developed. Based on
the classical Lotka-Volterra model, we construct a new predator-prey model with unknown
parameters to simulate the behaviors of predator and prey. Using a the approximation property
and the machine learning approach of artificial neural networks, a tuning algorithm of unknown
parameters is obtained and the factual data of predator-prey can be asymptotically stabilized
using a neural network controller. Numerical examples and analysis of the results are presented. |
| format | Article |
| id | doaj-art-b51eb75a5d0a469cbdf9dea53bfa5caa |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b51eb75a5d0a469cbdf9dea53bfa5caa2025-02-03T06:01:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/326161326161The Control Data Method: A New Method of Modeling in Population DynamicsLin-Fei Nie0Zhi-Dong Teng1College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, ChinaA novel modeling method for population dynamics is developed. Based on the classical Lotka-Volterra model, we construct a new predator-prey model with unknown parameters to simulate the behaviors of predator and prey. Using a the approximation property and the machine learning approach of artificial neural networks, a tuning algorithm of unknown parameters is obtained and the factual data of predator-prey can be asymptotically stabilized using a neural network controller. Numerical examples and analysis of the results are presented.http://dx.doi.org/10.1155/2013/326161 |
| spellingShingle | Lin-Fei Nie Zhi-Dong Teng The Control Data Method: A New Method of Modeling in Population Dynamics Journal of Applied Mathematics |
| title | The Control Data Method: A New Method of Modeling in Population Dynamics |
| title_full | The Control Data Method: A New Method of Modeling in Population Dynamics |
| title_fullStr | The Control Data Method: A New Method of Modeling in Population Dynamics |
| title_full_unstemmed | The Control Data Method: A New Method of Modeling in Population Dynamics |
| title_short | The Control Data Method: A New Method of Modeling in Population Dynamics |
| title_sort | control data method a new method of modeling in population dynamics |
| url | http://dx.doi.org/10.1155/2013/326161 |
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