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

الملخص EN

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.