Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method. (10th July 2008)

• Record Type: Journal Article
• Authors: Sami Bataineh, A.; Noorani, M. S. M.; Hashim, I.
• Other Names: Zhou Yong Academic Editor.
• Is Part Of: Differential equations and nonlinear mechanics. Volume 2008(2008)
• Publication Date: 2008-07-10
• Subjects: Differential equations, Nonlinear -- Periodicals; Nonlinear mechanics -- Periodicals; Équations différentielles non linéaires; Mécanique non linéaire; Differential equations, Nonlinear; Nonlinear mechanics; Chaos Theory; Differential Equations; Periodicals; Electronic journals; 515.35
• DOI: 10.1155/2008/816787
• Languages: English
• ISSNs: 1687-4099

Abstract

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.