DocumentCode
495037
Title
Structure-Preserving Simulation of the Lotka-Volterra System
Author
Chen, Zhaoxia ; You, Xiong
Author_Institution
Dept. of Appl. Math., Nanjing Agric. Univ., Nanjing, China
Volume
3
fYear
2009
fDate
21-22 May 2009
Firstpage
398
Lastpage
400
Abstract
The Lotka-Volterra system is traditionally integrated with the classical Runge-Kutta method of order four or the Runge-Kutta-Fehlberg method which fails to preserve the special structure of the system in long term integration. This paper transforms the Lotka-Volterra system into a Hamiltonian system and integrates it with two highly efficient symplectic methods. The results of the numerical simulation show the robustness of these methods.
Keywords
Runge-Kutta methods; Hamiltonian system; Lotka-Volterra system; Runge-Kutta method; Runge-Kutta-Fehlberg method; long term integration; numerical simulation; structure preserving simulation; symplectic method; Biological systems; Computational modeling; Differential equations; Insects; Mathematics; Numerical simulation; Robustness; Hamiltonian system; Lotka-Volterra system; exponential transformation; symplecticity;
fLanguage
English
Publisher
ieee
Conference_Titel
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location
Manchester
Print_ISBN
978-0-7695-3634-7
Type
conf
DOI
10.1109/ICIC.2009.306
Filename
5168889
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