Stability Analysis of Investor Sentiment Propagation Model Based on S2I2R Model

Abstract

In \u00a0this \u00a0paper, \u00a0we \u00a0introduce \u00a0a \u00a0piecewise \u00a0modified \u00a0matrix \u00a0Pad\u00e9-type \u00a0approximation \u00a0of \u00a0hybrid order \u00a0in \u00a0the \u00a0interval \u00a0[0, \u00a01]. \u00a0It \u00a0yields \u00a0highly \u00a0accurate \u00a0results \u00a0and \u00a0exact \u00a0values \u00a0at \u00a0some \u00a0given \u00a0points. \u00a0The accuracy of this approximation increases as the order or the node increases. This method can be applied to approximate the exponential function. The explicit formula for computing the matrix exponential is presented. A numerical example is given to illustrate the effectiveness of this method. \u00a0