离散SEIS传染病模型动力学研究

通过非标准差分方法得到离散SEIS传染病模型,利用迭代法证明了模型解的正性和有界性,基于基本再生数证明了无病平衡点和地方病平衡点的存在唯一性,利用线性化方法证明了无病平衡点的局部稳定性,通过数值模拟给出地方病平衡点的稳定性结果.利用拉定超立方抽样方法对模型参数进行敏感性分析,根据参数对基本再生数R0的敏感度,通过控制敏感参数给出一些疾病的防控策略.

Determination and stability analysis of ultimate open-pit slope under geomechanical uncertainty

In open-pit mines,pit slope as one of the important parameters affects the mine economy and total minable reserve,and it is also affected by different uncertainties which arising from many sources.One of the most critical sources of uncertainty effects on the pit slope design is rock mass geomechanical properties.By comparing the probability of failure resulted from deterministic procedure and probabilistic one,this paper investigated the effects of aforesaid uncertainties on open-pit slope stability in metal mines.In this way,to reduce the effect of variance,it implemented Latin Hypercube Sampling(LHS)technique.Furthermore,a hypothesis test was exerted to compare the effects on two cases in Middle East.Subsequently,the investigation approved high influence of geomechanical uncertainties on overall pit steepness and stability in both iron and copper mines,though on the first case the effects were just over.