Chaos is an important applied area in nonlinear dynamical systems and it is applicable to many real-world systems including the biological systems. In the biological systems, there is great interest in the stud of Lotka-Volterra biological models, especially in the study of predator-prey models and competitive models. Such models have great interest in fields like agriculture and ecology. In 2005, Sprott, Wildenberg and Azizi found a high-dimensional Lotka-Volterra multi-species competitive model that exhibits spatiotemporal chaos. In 2006, Vano, Wildenberg, Anderson, Noel and Sprott discovered chaos in basic Lotka-Volterra models of four competing species. In this paper, we apply active control method to derive new control results for the global chaos antisynchronization of Lotka-Volterra biological systems with four competing species discovered by Vano, Wildenberg, Anderson, Noel and Sprott. MATLAB plots have been shown to illustrate chaos in the Vano competitive biological system and also the global chaos synchronization of the Vano competitive biological systems.