Modeling and forecasting the COVID-19 pandemic in India

https://doi.org/10.1016/j.chaos.2020.110049Get rights and content

Highlights

  • We propose a SARIIqSq compartmental mathematical model that explains the transmission dynamics of COVID-19.

  • Perform PRCC analysis to identify the most sensitive parameters and the sensitive parameters are estimated based on the real data up to April 30, 2020.

  • A sensitivity analysis is conducted to identify the most effective parameters with respect to the basic reproduction number R0.

  • Model simulation demonstrates that the eradication of COVID-19 is possible by mitigating the disease transmission rate βs.

  • Based on the estimated data our model predicts end dates of COVID-19 for 17 provinces of India and overall India.

Abstract

In India, 100,340 confirmed cases and 3155 confirmed deaths due to COVID-19 were reported as of May 18, 2020. Due to absence of specific vaccine or therapy, non-pharmacological interventions including social distancing, contact tracing are essential to end the worldwide COVID-19. We propose a mathematical model that predicts the dynamics of COVID-19 in 17 provinces of India and the overall India. A complete scenario is given to demonstrate the estimated pandemic life cycle along with the real data or history to date, which in turn divulges the predicted inflection point and ending phase of SARS-CoV-2. The proposed model monitors the dynamics of six compartments, namely susceptible (S), asymptomatic (A), recovered (R), infected (I), isolated infected (Iq) and quarantined susceptible (Sq), collectively expressed SARIIqSq. A sensitivity analysis is conducted to determine the robustness of model predictions to parameter values and the sensitive parameters are estimated from the real data on the COVID-19 pandemic in India. Our results reveal that achieving a reduction in the contact rate between uninfected and infected individuals by quarantined the susceptible individuals, can effectively reduce the basic reproduction number. Our model simulations demonstrate that the elimination of ongoing SARS-CoV-2 pandemic is possible by combining the restrictive social distancing and contact tracing. Our predictions are based on real data with reasonable assumptions, whereas the accurate course of epidemic heavily depends on how and when quarantine, isolation and precautionary measures are enforced.

Keywords

COVID-19
Mathematical model
Basic reproduction number
Sensitivity analysis
Isolation
Model prediction

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