Optimal Countermeasure Control on Influenza Spread Model in the Emergence of Drug Resistance

Jonner Nainggolan

Abstract: The model studied in this article is an optimal control model for the spread of flu with respect to the class that are resistant to standard anti-flu drugs. The non-endemic equilibrium point and reproduction number are obtained based on the studied system. In the model given control, u_1, efforts to prevent contact between peoples who are still healthy; the control, u_2, effectively reduced the number of peoples in the Is the class, and the control, u_3, effectively decreased the number of peoples in the Ir the class. The system of co-the state equations obtained corresponds to the system of the state, equations. Control, u_1, can prevent peoples from being infected with flu. The control, u_2, effectively reduced the number of peoples in the Is the class, and the control, u_3, effectively decreased the number of peoples in the Ir the class.

Keywords: influenza spread model, equilibrium point, the basic reproduction number, resistance to standard anti-influenza drugs, optimal control