A multi-species epidemic model with spatial dynamics
A multi-species epidemic model with spatial dynamics
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DOI：
10.1093/imammb/dqi003
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发表时间：
2005-06-01
影响因子：
1.1
通讯作者：
van den Driessche, P
中科院分区：
文献类型：
--
作者：
Arino, J;Davis, JR;van den Driessche, P
制定了一个模型来描述可以在多个物种之间传播的疾病的空间传播。对于每个物种来说，空间分量由一定数量的斑块组成，这些斑块构成了有向图的顶点，其弧线代表了斑块之间不同物种的运动。在每个斑块和每个物种中，易感-暴露-感染-恢复（SEIR）流行病模型描述了个体疾病状态的演变。此外，在每个斑块中，疾病都在物种之间传播。从移动组件的结果开始，对系统进行了分析。推导了计算物种和n斑块的基本繁殖数R-0的公式，从而确定了无病平衡的全局稳定性特性。模拟了一种疾病在一个物种和两个斑块中传播的情况。
A model is formulated that describes the spatial propagation of a disease that can be transmitted between multiple species. The spatial component consists, for each species, of a certain number of patches that make up the vertices of a digraph, the arcs of which represent the movement of the various species between the patches. In each of the patches and for each species, a susceptible-exposed-infectious-recovered (SEIR) epidemic model describes the evolution of the disease status of individuals. Also in each patch, there is transmission of the disease from species to species. An analysis of the system is given, beginning with results on the mobility component. A formula is derived for the computation of the basic reproduction number R-0 for sspecies and npatches, which then determines the global stability properties of the disease free equilibrium. Simulations for the spread of a disease in one species and two patches are presented.