Optimal Control Strategies of Non-Pharmaceutical and Pharmaceutical Interventions for COVID-19 Control

EasyChair Preprint 3986

Abstract

In recent, non-pharmaceutical intervention (lockdown, quarantine, expended testing) and the pharmaceutical intervention (use of com- monly used drugs) are the only available policy to control the COVID- 19 epidemic. But the question is that whether the disease is to be par- tially or totally eradicated from the human population still remains unsolved. Usually, social distancing, using the mask, etc. are the only available policy to control the pandemic. Uses of common drugs (azithromycin, HCQ, antiprotozoal with Doxycycline) are the most ef- fective treatment for the disease which can only activate the immune system to ght against the disease progression. We have formulated a seven compartmental SEIQR type model describing the spread of the COVID-19 among the human population. We have also apply the optimal control theory to the seven compartmental SEIQR model of ordinary dierential equations to reduce the number of the infected population while minimizing the cost associated with the awareness and drug use in a particular time period. Analytical ndings along with numerical simulations strongly suggest that the system behavior depends on basic reproduction number and awareness related to social distancing, using the mask and common drug usage are suggested to be maintained at the least possible level.

Keyphrases: COVID-19, Non-Pharmaceutical Intervention, Optimal control theory, Pharmaceutical Intervention, SEIQR model

@booklet{EasyChair:3986,
  author    = {Jayanta Mondal and Amar Nath Chatterjee},
  title     = {Optimal Control Strategies of Non-Pharmaceutical and Pharmaceutical Interventions for COVID-19 Control},
  howpublished = {EasyChair Preprint 3986},
  year      = {EasyChair, 2020}}