The dynamics of cocirculating influenza strains conferring partial cross-immunity
The dynamics of cocirculating influenza strains conferring partial cross-immunity
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DOI：
10.1007/s002850050079
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发表时间：
1997-08-01
影响因子：
1.9
通讯作者：
Levin, SA
中科院分区：
文献类型：
--
作者：
Andreasen, V;Lin, J;Levin, SA
我们开发了一个模型，描述了有限数量的菌株，赋予部分菌株之间的交叉保护的动态。宿主群体的免疫结构由索引集符号捕获，其中索引指定宿主已暴露的菌株集。这种符号使我们能够得到一个新的应变入侵的阈值条件，并显示在一个特殊的情况下存在的地方病多应变平衡。如果交叉保护足够强，由两种以上菌株组成的系统的动力学可以表现出对特定菌株免疫力过冲引起的持续振荡。
We develop a model that describes the dynamics of a finite number of strains that confer partial cross-protection among strains. The immunity structure of the host population is captured by an index-set notation where the index specifies the set of strains to which the host has been exposed. This notation allows us to derive threshold conditions for the invasion of a new strain and to show the existence of an endemic multi-strain equilibrium in a special case. The dynamics of systems consisting of more than two strains can exhibit sustained oscillations caused by an overshoot in the immunity to a specific strain if cross-protection is sufficiently strong.