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
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;
Conference_Titel :
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location :
Manchester
Print_ISBN :
978-0-7695-3634-7
DOI :
10.1109/ICIC.2009.306
