The susceptible-infected-recovered (SIR) model is used in epidemiology to simulate the transmission of infectious diseases. The continuous formulation of the SIR model is represented by a set of three coupled differential equations that can be solved numerically. Due to the dynamics of the simulation, the SIR model is best when simulating diseases that confer a lasting immunity. More complex models for disease transmission are typically derived from this base model and can include features such as additional infectious stages, stochastic frameworks, vaccines, and finite immunity. In this case study, I first examine the features of the continuous model. Then, I create a discrete model, which simulates individuals that transmit the disease based on proximity. With this basic framework established, one can examine strategies that change the spread of the infection, such as social distancing.

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感染建模案例研究：离散空间敏感感染恢复模型

流行病学使用易感感染恢复（SIR）模型来模拟传染病的传播。SIR模型的连续公式由一组三个可以数值求解的耦合微分方程表示。由于模拟的动态性，当模拟赋予持久免疫力的疾病时，SIR模型是最佳的。通常，更复杂的疾病传播模型是从该基本模型中得出的，并且可以包括诸如其他感染阶段，随机框架，疫苗和有限免疫等功能。在本案例研究中，我首先检查连续模型的特征。然后，我创建了一个离散模型，该模型可以根据接近程度模拟传播疾病的个体。建立了这个基本框架后，