The application of the Poincaré-transform to the Lotka-Volterra model
In this article, we show how to apply the Poincaré-transform to the general Lotka-Volterra model and investigate the question of the global asymptotic stability of the locally stable equilibrium point. An attempt is made to estimate the domain of attraction when the critical point is not globally stable. Results for the two dimensional case, due to Goh [3], are improved.