van den Bosch F, McRoberts N, van den Berg F, Madden L V
Department of Biomathematics and Bioinformatics, Rothamsted Research, Harpenden, UK.
Phytopathology. 2008 Feb;98(2):239-49. doi: 10.1094/PHYTO-98-2-0239.
The basic reproduction number, R0, is defined as the total number of infections arising from one newly infected individual introduced into a healthy (disease-free) host population. R0 is widely used in ecology and animal and human epidemiology, but has received far less attention in the plant pathology literature. Although the calculation of R0 in simple systems is straightforward, the calculation in complex situations is challenging. A very generic framework exists in the mathematical and biomathematical literature, which is difficult to interpret and apply in specific cases. In this paper we describe a special case of this general framework involving the use of matrix population models. Leading by example, we explain the existing mathematical literature on this subject in such a way that plant pathologists can apply the method for a wide range of pathosystems.
基本再生数R0的定义是，将一个新感染个体引入健康（无病）宿主群体后所引发的感染总数。R0在生态学以及动物和人类流行病学中被广泛应用，但在植物病理学文献中受到的关注却少得多。虽然在简单系统中计算R0很直接，但在复杂情况下的计算具有挑战性。数学和生物数学文献中存在一个非常通用的框架，在具体案例中难以解释和应用。在本文中，我们描述了这个通用框架的一个特殊情况，涉及矩阵种群模型的使用。我们通过实例引导，以植物病理学家能够将该方法应用于广泛病理系统的方式，解释了关于这一主题的现有数学文献。
