Chaos and control in a prey-predator system with periodical harvesting and stage structure

With the purpose of investigating the dynamics of prey-predator system with stage structure and periodical harvesting, a stage-structured prey-predator model with periodical harvesting is established. By virtue of the Poincare surface-of-section technique and computation of Lyapunov exponents, chaotic behavior and quasiperiodic behavior in the proposed model are studied. Furthermore, chaotic behavior in the model system is controlled by constructing a special form of a continuous perturbation. Numerical simulations are carried out to show the consistency with theoretical analysis.