International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 7 | Views: 103

Analysis Study Research Paper | Mathematics | Indonesia | Volume 12 Issue 2, February 2023 | Rating: 4.5 / 10


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


Edition: Volume 12 Issue 2, February 2023,


Pages: 300 - 306


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