| Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 6, Iss. 1, Jan, 2002, pp. 27-36 @2002 Society for Chaos Theory in Psychology & Life Sciences Optimal Control of the Equilibrium State of a Prey-Predator Model Abstract: The control problem of the equilibrium state of prey-predator model has been studied. The equilibrium states of prey-predator model are found. The optimal control law is derived from the conditions that ensure the asymptotic stability of the equilibrium state of this model using the Lyapunov function. The general solution of the equations of the perturbed state as a function of time is obtained. Graphical and numerical simulation studies of the obtained results are presented. Keywords: prey-predator model, optimal control, equilibrium states |