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. Copyright q 2008 A. Sami Bataineh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1
AbstractThis paper applies the variational iteration method to multispecies Lotka–Volterra equations...
International audienceIn this work, approximate analytic solutions for different types of KdV equati...
We consider the (n \Gamma 1)-dimensional Lotka-Volterra system (arising in biological modelling of s...
The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopy analysi...
In this paper, we suggest a method to solve the multispecies Lotka-Voltera equations. The suggested ...
In this Letter, the homotopy-perturbation method (HPM) is employed to derive approximate series solu...
In this project, we study the Lotka-Volterra model, also known as the model describing the populatio...
which permits unrestricted use, distribution, and reproduction in any medium, provided the original ...
We aim to study the convergence of the homotopy analysis method (HAM in short) for solving special n...
The two dimensional Poincare--Lindstedt method is used to obtain approximate solutions to the period...
summary:This paper considers a Volterra's population system of fractional order and describes a bi-p...
In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate...
AbstractIn the paper, we generalized the homotopy analysis method to solve Lotka–Volterra equation. ...
In this paper, a new efficient method called the parametric iteration method (PIM) is applied to acc...
We introduce a new approach called the enhanced multistage homotopy perturbation method (EMHPM) that...
AbstractThis paper applies the variational iteration method to multispecies Lotka–Volterra equations...
International audienceIn this work, approximate analytic solutions for different types of KdV equati...
We consider the (n \Gamma 1)-dimensional Lotka-Volterra system (arising in biological modelling of s...
The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopy analysi...
In this paper, we suggest a method to solve the multispecies Lotka-Voltera equations. The suggested ...
In this Letter, the homotopy-perturbation method (HPM) is employed to derive approximate series solu...
In this project, we study the Lotka-Volterra model, also known as the model describing the populatio...
which permits unrestricted use, distribution, and reproduction in any medium, provided the original ...
We aim to study the convergence of the homotopy analysis method (HAM in short) for solving special n...
The two dimensional Poincare--Lindstedt method is used to obtain approximate solutions to the period...
summary:This paper considers a Volterra's population system of fractional order and describes a bi-p...
In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate...
AbstractIn the paper, we generalized the homotopy analysis method to solve Lotka–Volterra equation. ...
In this paper, a new efficient method called the parametric iteration method (PIM) is applied to acc...
We introduce a new approach called the enhanced multistage homotopy perturbation method (EMHPM) that...
AbstractThis paper applies the variational iteration method to multispecies Lotka–Volterra equations...
International audienceIn this work, approximate analytic solutions for different types of KdV equati...
We consider the (n \Gamma 1)-dimensional Lotka-Volterra system (arising in biological modelling of s...