Nonlinear adaptive control of avian influenza model with slaughter, educational campaigns and treatment

Avian influenza is an infectious viral disease caused by type A virus, which occurs frequently around the world and causes serious economic losses. Therefore, the adaptive control problem is explored in this paper for an avian influenza model in consideration of slaughtering to poultry, educational campaigns to the susceptible human and treatment to the infected human. First, by analyzing the transmission mechanism of avian influenza, a nonlinear adaptive control problem of avian influenza model is formulated, where some errors between model parameters and real values are allowed. Then, the parameters are estimated by constructing adaptive laws, which can be effectively used to design the applicative controllers to achieve the control goals. Besides, the stability of controlled model is analyzed with the aid of Lyapunov stability theory. Finally, numerical examples are proposed to verify the effectiveness and robustness of the designed controllers.