Chaos and adaptive control in two prey, one predator system with nonlinear feedback

Abstract

We show that the continuous time three species prey-predator populations can be asymptotically stabilized using a nonlinear feedback control inputs. The necessary feedback control law for asymptotic stability of this system is obtained. The system appears to exhibit a chaotic behavior for a range of parametric values. The range of the system parameters for which the subsystems converge to limit cycles is determined. The results of some other models in the literature can be obtained as special cases of the present model. Numerical examples and analysis of the results are presented.