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Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method

Author

Listed:
  • A. Sami Bataineh
  • M. S. M. Noorani
  • I. Hashim

Abstract

The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopy analysis method (HAM). The continuous solution for the nonlinear system is given, which provides a convenient and straightforward approach to calculate the dynamics of the system. The HAM continuous solution generated by polynomial base functions is of comparable accuracy to the purely numerical fourth-order Runge-Kutta method. The convergence theorem for the three-dimensional case is also given.

Suggested Citation

  • A. Sami Bataineh & M. S. M. Noorani & I. Hashim, 2008. "Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method," International Journal of Differential Equations, Hindawi, vol. 2008, pages 1-14, July.
    • Handle: RePEc:hin:jnijde:816787
    DOI: 10.1155/2008/816787
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