Institute of Environmental Systems Research, Department of Mathematics and Computer Science, University of Osnabrück, Osnabrück, Germany.
J Biol Dyn. 2008 Jan;2(1):40-54. doi: 10.1080/17513750801942552.
A model of a phytoplankton-zooplankton prey-predator system with viral infection of phytoplankton is investigated. Virus particles (V) are taken into account by an explicit equation. Phytoplankton is split into a susceptible (S) and an infected (I) class. A lytic infection is considered, thus, infected phytoplankton cells stop reproducing as soon as the infection starts and die at an increased mortality rate. Zooplankton (Z) is grazing on both susceptible and infected phytoplankton following a Holling-type II functional response. After the local dynamics of the V-S-I-Z system is analysed, numerical solutions of a stochastic reaction-diffusion model of the four species are presented. These show a spatial competition between zooplankton and viruses, although these two species are not explicitly coupled by the model equations.
本文研究了一种带有浮游植物病毒感染的浮游动物-浮游动物捕食者系统模型。病毒颗粒（V）通过显式方程考虑。浮游植物分为易感（S）和感染（I）两类。考虑到裂解感染，一旦感染开始，感染的浮游植物细胞就会停止繁殖，并以增加的死亡率死亡。浮游动物（Z）以 Holling 型 II 功能反应的方式同时摄食易感和感染的浮游植物。在分析了 V-S-I-Z 系统的局部动力学之后，提出了四个物种的随机反应扩散模型的数值解。这些结果表明，尽管模型方程没有明确地将浮游动物和病毒联系起来，但它们之间存在着空间竞争。
