Optimal Control of an Influenza Model with Multiple Control Strategies

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Dr. Adiveppa S. Kadi, Mrs. Sahana P. Hiremath, Dr. Shrishail R. Gani

Abstract

Effective control of influenza pandemic is an important public health goal. Number of recent studies, have shown that how different intervention measures allow to control the number of clinical cases of influenza. Here we introduce optimal control strategies and their impact on disease control and also investigate the necessary conditions for the control of disease. Further we try to evolve optimal control policies to reduce the susceptible that are at risk and clinically ill and infectious cases by introducing four control strategies at a minimal cost. We use Pontryagin?s Maximum Principle of optimal control theory. Simulations are carried out using fourth order Runge-Kutta forward-backward scheme. We evaluated the potential effect of control measures such as non-pharmaceutical intervention, antiviral treatment and vaccination effect on the disease dynamics.

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