The Control Data Method: A New Method of Modeling in Population Dynamics
Author(s) -
Linfei Nie,
Zhidong Teng
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/326161
Subject(s) - artificial neural network , population , computer science , control theory (sociology) , dynamics (music) , predation , mathematics , property (philosophy) , controller (irrigation) , control (management) , mathematical optimization , artificial intelligence , ecology , philosophy , physics , demography , epistemology , sociology , acoustics , agronomy , biology
A novel modeling method for population dynamics is developed. Based onthe classical Lotka-Volterra model, we construct a new predator-prey model with unknownparameters to simulate the behaviors of predator and prey. Using a the approximation propertyand the machine learning approach of artificial neural networks, a tuning algorithm of unknownparameters is obtained and the factual data of predator-prey can be asymptotically stabilizedusing a neural network controller. Numerical examples and analysis of the results are presented
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