Journal of Applied Mathematics

The Control Data Method: A New Method of Modeling in Population Dynamics

Lin-Fei Nie and Zhi-Dong Teng

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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.

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J. Appl. Math., Volume 2013 (2013), Article ID 326161, 8 pages.

First available in Project Euclid: 14 March 2014

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Nie, Lin-Fei; Teng, Zhi-Dong. The Control Data Method: A New Method of Modeling in Population Dynamics. J. Appl. Math. 2013 (2013), Article ID 326161, 8 pages. doi:10.1155/2013/326161.

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