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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Veröffentlicht in:Discrete dynamics in nature and society 2018-01, Vol.2018 (2018), p.1-8
Hauptverfasser: Zhang, Guang Y., Xu, Panqi, Lou, Shanshan, Xu, Li
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Analysis
Applied mathematics
Competition
Computer simulation
Dependence
Equilibrium
Feedback control
Inverse problems
Numerical analysis
Parameters
Partial differential equations
Regularization
Spacetime
Stability
State feedback
Unstable equilibrium point
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2018/7473208