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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Irina Tkachenko
Guaranteed Control in Antivirus Drugs Use Problem and Mathematical Modelling Results
Faculty of Applied Mathematics and Cybernetics
Undergraduate programme
2014
In this work we consider the problem of the application of modern mathematical methods and information to manage the restoration of human immune system in order to increase the length and quality of life.Differential equations that describe the dynamics of the disease in this study, transformed into a system with parameters depending on the state. Noted that the main problem of optimal control is to find solutions of the Riccati equation with parameters that depend on the state. For realizable problem we propose a method based on the use of differential games and a model containing the least favorable options. The results of computer simulation of the dynamics of the immune system using a strategy developed using drugs.

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