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→马尔科夫疾病传播
From a practical point of view, the Poisson assumption leads to an increased mathematical tractability. Indeed, since the rates of transmission and recovery are constant, they do not depend on the previous history of the individual, and thus lead to memoryless, Markovian processes <ref Name=Van1981>Van Kampen N G. Stochastic processes in chemistry and physics[J]. Chaos, 1981.</ref><ref Name=Ross1996>Ross S M. Stochastic Processes. John Wiley & Sons[J]. New York, 1996.</ref><ref Name=Tijms2003>Tijms H C. A first course in stochastic models[M]. John Wiley and sons, 2003.</ref><ref Name=Van2014>Van Mieghem P. Performance analysis of complex networks and systems[M]. Cambridge University Press, 2014.</ref>.
From a practical point of view, the Poisson assumption leads to an increased mathematical tractability. Indeed, since the rates of transmission and recovery are constant, they do not depend on the previous history of the individual, and thus lead to memoryless, Markovian processes <ref Name=Van1981>Van Kampen N G. Stochastic processes in chemistry and physics[J]. Chaos, 1981.</ref><ref Name=Ross1996>Ross S M. Stochastic Processes. John Wiley & Sons[J]. New York, 1996.</ref><ref Name=Tijms2003>Tijms H C. A first course in stochastic models[M]. John Wiley and sons, 2003.</ref><ref Name=Van2014>Van Mieghem P. Performance analysis of complex networks and systems[M]. Cambridge University Press, 2014.</ref>.
从实用的角度看，泊松过程的假设，使得数学分析变得更易处理。实际上，由于传播和恢复的速率恒定，它们不依赖于个体的先前历史，因此这可以称为是无记忆的马尔科夫过程（Van Kampen，1981；Ross，1996； Tijms，2003； Van Mieghem，2014b）。<ref Name=Van1981>Van Kampen N G. Stochastic processes in chemistry and physics[J]. Chaos, 1981.</ref><ref Name=Ross1996>Ross S M. Stochastic Processes. John Wiley & Sons[J]. New York, 1996.</ref><ref Name=Tijms2003>Tijms H C. A first course in stochastic models[M]. John Wiley and sons, 2003.</ref><ref Name=Van2014>Van Mieghem P. Performance analysis of complex networks and systems[M]. Cambridge University Press, 2014.</ref>.
从实用的角度看，泊松过程的假设，使得数学分析变得更易处理。实际上，由于传播和恢复的速率恒定，它们不依赖于个体的先前历史，因此这可以称为是无记忆的马尔科夫过程（Van Kampen，1981；Ross，1996； Tijms，2003； Van Mieghem，2014b）<ref Name=Van1981>Van Kampen N G. Stochastic processes in chemistry and physics[J]. Chaos, 1981.</ref><ref Name=Ross1996>Ross S M. Stochastic Processes. John Wiley & Sons[J]. New York, 1996.</ref><ref Name=Tijms2003>Tijms H C. A first course in stochastic models[M]. John Wiley and sons, 2003.</ref><ref Name=Van2014>Van Mieghem P. Performance analysis of complex networks and systems[M]. Cambridge University Press, 2014.</ref>。
== 非马尔科夫疾病传播 ==
== 非马尔科夫疾病传播 ==