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：我们调查两种形式的SIR模型的参数估计和预测,这两种模型是由小L\'{{e}vy 噪声驱动的。我们通过使用最小方形估计器来实现这一目标。我们包括使用预测梯度下降的方法对两种形式进行模拟研究,以帮助进行参数估计。</s>