Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System

Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System

State feedback is used to stabilize the Turing instability at the unstable equilibrium point of a discrete competitive Lotka–Volterra system. In addition, a regularization method is applied to parameter inversion for the given Turing system and numerical simulation can verify the effectiveness of th...

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Main Authors: Li Xu, Shanshan Lou, Panqi Xu, Guang Zhang
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/7473208
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spelling doaj-d66b4911702244cc96fab0f2db97252c2020-11-24T21:17:19ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/74732087473208Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra SystemLi Xu0Shanshan Lou1Panqi Xu2Guang Zhang3School of Mathematics, Tianjin University, Tianjin 300072, ChinaSchool of Science, Tianjin University of Commerce, Tianjin 300134, ChinaSchool of Science, Tianjin University of Commerce, Tianjin 300134, ChinaSchool of Science, Tianjin University of Commerce, Tianjin 300134, ChinaState feedback is used to stabilize the Turing instability at the unstable equilibrium point of a discrete competitive Lotka–Volterra system. In addition, a regularization method is applied to parameter inversion for the given Turing system and numerical simulation can verify the effectiveness of the algorithm. Furthermore, how less or more sample data and dependence on the initial state affect estimation procedure are tested.http://dx.doi.org/10.1155/2018/7473208
collection DOAJ
language English
format Article
sources DOAJ
author Li Xu
Shanshan Lou
Panqi Xu
Guang Zhang
spellingShingle Li Xu
Shanshan Lou
Panqi Xu
Guang Zhang
Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System
Discrete Dynamics in Nature and Society
author_facet Li Xu
Shanshan Lou
Panqi Xu
Guang Zhang
author_sort Li Xu
title Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System
title_short Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System
title_full Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System
title_fullStr Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System
title_full_unstemmed Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System
title_sort feedback control and parameter invasion for a discrete competitive lotka–volterra system
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2018-01-01
description State feedback is used to stabilize the Turing instability at the unstable equilibrium point of a discrete competitive Lotka–Volterra system. In addition, a regularization method is applied to parameter inversion for the given Turing system and numerical simulation can verify the effectiveness of the algorithm. Furthermore, how less or more sample data and dependence on the initial state affect estimation procedure are tested.
url http://dx.doi.org/10.1155/2018/7473208
work_keys_str_mv AT lixu feedbackcontrolandparameterinvasionforadiscretecompetitivelotkavolterrasystem
AT shanshanlou feedbackcontrolandparameterinvasionforadiscretecompetitivelotkavolterrasystem
AT panqixu feedbackcontrolandparameterinvasionforadiscretecompetitivelotkavolterrasystem
AT guangzhang feedbackcontrolandparameterinvasionforadiscretecompetitivelotkavolterrasystem
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