In this paper, a new SIS (susceptible–infected–susceptible) epidemic model on complex networks with an infective medium is proposed. The infection rate is modified by applying the theory of probability. By using mean-field approximation, iterative analysis method and mathematical analysis, the epidemic threshold, stabilities of the disease-free equilibrium and the endemic equilibrium are studied. Moreover, some disease control strategies are proposed. The results show that the epidemic threshold plays an important role in the spread of disease. Finally, the theoretical results are confirmed by some simple numerical examples.

中文翻译：

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带有感染介质的复杂网络上改进的SIS流行病模型的传播动力学，全局稳定性和控制策略

在本文中，提出了一种在具有传染性媒介的复杂网络上的新的SIS（易感-易感染-易感）流行模型。通过应用概率论来修改感染率。通过均值场逼近，迭代分析和数学分析，研究了流行病阈值，无病平衡和地方平衡的稳定性。此外，提出了一些疾病控制策略。结果表明，流行阈值在疾病传播中起重要作用。最后，通过一些简单的数值例子证实了理论结果。