Infectious diseases are latent threats to humankind killing annually millions worldwide. Disease transmission modeling and control remain a central vexation for science as it involves several complex and dynamic processes. In this paper, multiscale stochastic impulsive models in combination with contact patterns are presented to describe outbreaks and epidemics more accurately. The new families of mathematical models open up a new path within the field of control theory with long-term impact and ample opportunities to control epidemics.

中文翻译：

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流行病建模与控制的多尺度随机脉冲系统的新观点

传染病是全世界每年数百万人死亡的潜在威胁。疾病传播的建模和控制仍然是科学的中心问题，因为它涉及多个复杂而动态的过程。在本文中，结合接触模式，提出了多尺度随机脉冲模型，以更准确地描述爆发和流行病。新的数学模型家族为控制理论领域开辟了一条新的道路，它具有长期影响并有足够的机会控制流行病。