标题： 建模传染病传播 显示英文标题

标题： Modeling contagious disease spreading

摘要： 基于数学模型对疾病传播现象的理解对于实施正确的政策措施以控制疾病传播至关重要。 在这里，我们报告了一个新的模型，即Ising-SIR模型，用于描述包括空气传播和直接接触疾病转化的传染病传播现象。 在空气传播的情况下，易感代理可以从环境中或其感染的邻居那里感染疾病，而在第二种情况下，代理只能通过与感染的邻居密切接触而被感染。 我们使用周期性边界条件在方形晶格上进行了蒙特卡洛模拟，以研究疾病传播的动力学。 模拟结果表明，疾病传播机制在增长动力学中起着重要作用，并导致不同的增长指数。 在直接接触疾病传播机制中，对于某些模型参数，增长指数几乎等于二，这与早期的经验观察一致。 此外，该模型预测了可以在自然界中观察到的各种时空模式。 显示英文摘要

摘要： An understanding of the disease spreading phenomenon based on a mathematical model is extremely needed for the implication of the correct policy measures to contain the disease propagation. Here, we report a new model namely the Ising-SIR model describing contagious disease spreading phenomena including both airborne and direct contact disease transformations. In the airborne case, a susceptible agent can catch the disease either from the environment or its infected neighbors whereas in the second case, the agent can be infected only through close contact with its infected neighbors. We have performed Monte Carlo simulations on a square lattice using periodic boundary conditions to investigate the dynamics of disease spread. The simulations demonstrate that the mechanism of disease spreading plays a significant role in the growth dynamics and leads to different growth exponent. In the direct contact disease spreading mechanism, the growth exponent is nearly equal to two for some model parameters which agrees with earlier empirical observations. In addition, the model predicts various types of spatiotemporal patterns that can be observed in nature.