Optimal and Adaptive Control of an Epid za with Unknown Parameters

This paper deals with the nonlinear dynamics, chaos, optimal and adaptive control of an epidemic model for H1N1 influenza with unknown parameters. Two different control strategies are explored. First, we use the optimal control theory to reduce the infected individuals and the cost of vaccination. Then, we study the problem of optimal control of unstable steady-states of H1N1 influenza system using a nonlinear control approach. Finally, we propose the Lyapunov stability to control of the chaotic epidemic model of influenza with unknown parameters by a feedback control approach. Matlab bvp4c and ode45 have been used for solving the autonomous chaotic systems and the extreme conditions obtained from the Pontryagin's maximum principle (PMP). Furthermore, numerical simulations are included to demonstrate the effectiveness of the proposed control strategies.