Lefèvre C, Picard P
Institut de Statistique, Université Libre de Bruxelles, Belgium.
Math Biosci. 1993 Sep-Oct;117(1-2):127-45. doi: 10.1016/0025-5564(93)90019-7.
A new epidemic model is developed that describes the spread of an infectious disease with fatal risk. The model includes as extreme cases the standard general epidemic process (for diseases that confer immunity after infection) and the fatal epidemic process (for diseases that lead inevitably to death). Both deterministic and stochastic versions are examined. First, attention is paid to the temporal and final states of the epidemic. Then the existence of a threshold phenomenon and the qualitative effect of the fatal risk are investigated.
开发了一种新的流行病模型,该模型描述了具有致命风险的传染病的传播。作为极端情况,该模型包括标准的一般流行过程(针对感染后产生免疫力的疾病)和致命流行过程(针对不可避免导致死亡的疾病)。研究了确定性和随机性两种版本。首先,关注流行病的时间和最终状态。然后研究阈值现象的存在以及致命风险的定性影响。