Dietz Klaus
Department of Medical Biometry (Emeritus), University of Tübingen, 72076, Tübingen, Germany.
Infect Dis Model. 2018 Sep 26;3:171-175. doi: 10.1016/j.idm.2018.09.006. eCollection 2018.
The most frequently cited articles out of KP Hadeler's 45 papers with epidemiological applications are summarized. Parasitic diseases which increase the death rate of the hosts proportional to the integer number of parasites present were described by integral equations for the generating function of the age- and time-dependent number of parasites. A model was derived for a population structured by the continuous level of parasitic infection. Stimulated by the spread of AIDS a new class of epidemic models was developed which take into account explicitly the formation and separation of pairs. For predator-prey populations with parasitic infections threshold conditions for the persistence of the predator were derived. The interaction of epidemics and demography was analysed. Several epidemiological conditions led to backward bifurcations associated with multiple infective stationary states.
总结了KP·哈德勒45篇具有流行病学应用的论文中被引用频率最高的文章。通过关于年龄和时间相关寄生虫数量生成函数的积分方程，描述了与宿主体内寄生虫整数数量成正比增加宿主死亡率的寄生虫病。推导了一个由寄生虫感染连续水平构成的种群模型。受艾滋病传播的启发，开发了一类新的流行病模型，该模型明确考虑了配对的形成和分离。对于有寄生虫感染的捕食者 - 猎物种群，推导了捕食者持续存在的阈值条件。分析了流行病与人口统计学的相互作用。几种流行病学情况导致了与多个感染稳态相关的反向分岔。
