Fractional dynamic analysis and optimal control problem for an SEIQR model on complex networks

Abstract

A fractional order susceptible–exposed–infected–quarantined–recovered model is established on the complex networks. We calculate a specific expression for the basic reproduction number [Formula: see text], prove the existence and uniqueness with respect to the solution, and prove the Ulam–Hyers stability of the model. Using the Latin hypercube sampling-partial rank correlation coefficient method, the influence of parameters on the [Formula: see text] is analyzed. Based on the results of the analysis, the optimal control of the model is investigated as the control variables with vaccination rate and quarantine rate applying Pontryagin’s minimum principle. The effects of [Formula: see text], degree of nodes, and network size on the model dynamics are simulated separately by the prediction correction method.

Study on SEAI Model of COVID-19 Based on Asymptomatic Infection

“…Sensitivity analysis is a common tool for model verification, risk assessment and decision support in the fields of statistics, engineering, economics, and environmental science. One of the most important methods is the Partial Rank Correlation Coefficient method, which is a very useful statistical sampling technique and has been widely used in the analysis of infectious disease models [36,37].…”