We investigate the parameter estimation and prediction of two forms of the stochastic SIR model driven by small L\'{e}vy noise with time-dependent periodic transmission. We present consistency and rate of convergence results for the least-squares estimators. We include simulation studies using the method of projected gradient descent.

翻译：我们研究了由小Lévy噪声驱动、具有时变周期传播率的两种形式的随机SIR模型的参数估计与预测问题。我们给出了最小二乘估计量的一致性和收敛速度结果，并利用投影梯度下降法开展了仿真研究。