<p>Ecosystems are considered the basic units of nature because they witness all the interactions between living organisms and their physical environment. In this paper, the dynamical analysis of the competitive herbivore species network (ecological system) has been studied. We have investigated the relationship between the stability of ecological system and the Hamilton energy function. Also, we have analyzed the role of competitive modes in the emergence of chaotic behavior in the system. Furthermore, the ultimate bound sets for the considered ecological system have been obtained by using the Lagrange optimization and analytical technique. Finally, in order to control chaos, one chaotic ecological system is exponentially synced to another chaotic ecological system under the master-slave scheme. Numerical simulations are carried out, which validate the obtained results. Analytical and computational studies are found to be in excellent agreement.</p>