We investigate the parameter estimation and forecasting of two forms of the stochastic SIR model driven by small L\'{e}vy noises. We accomplish this by utilizing least squares estimators. We include simulation studies of both forms using the method of projected gradient descent to aid in the parameter estimation.

翻译：我们研究了两类由小Lévy噪声驱动的随机SIR模型的参数估计与预测问题。通过运用最小二乘估计方法实现了这一目标。为辅助参数估计，我们采用投影梯度下降法对两类模型进行了仿真研究。