Nonlinear analysis and dynamics of COVID‐19 mathematical model with optimal control strategies

Abstract

AbstractEfficacy of the healthcare system and illumination (awareness) activities control COVID‐19. To defend public health, the spreading pandemic of COVID‐19 disease necessitates social distancing, wearing masks, personal cleanliness, and precautions. Due to inadequate awareness programs, COVID‐19 rapidly increases in India. The primary goal of this research is to investigate the spreading behavior of the COVID‐19 virus in India when people are aware of the disease. We find the optimum value of disease transmission rate and detection of the unidentified asymptomatic and symptomatic populations. An optimal control problem is designed with limited resource allocation to improve the recovered individuals. A stability analysis presents for emphasizes the relevance of disease awareness in preventing the spread of the disease. The control parameters are used to explore the increase and decrease of the infected individual with and without control in optimal control analysis. The model is simulated using the Hattaf‐fractional derivative to study the memory effect in the epidemic. To adapt the model to the total number of reported COVID‐19 cases in India, we collected data from March 20, 2021 to September 30, 2021. According to the simulation results, the pandemic would spread faster if awareness campaigns were improperly carried out.