Algebraic moment closure for population dynamics on discrete structures.
Algebraic moment closure for population dynamics on discrete structures.
复制标题
离散结构上种群动态的代数矩闭合。
DOI：
10.1007/s11538-014-9981-3
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发表时间：
2015
影响因子：
3.5
通讯作者：
House T
中科院分区：
文献类型：
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作者：
House T
一般离散结构上的矩闭通常需要满足以下条件之一：(i)不存在短闭环（零聚类）；（ii）空间尺度的存在；特设假设。提出了代数方法，以避免使用基于团块的种群的这种假设，并应用于SIR和大寄生虫疾病动力学。一种方法涉及一系列可以系统导出的近似，另一种方法是精确的，基于李代数方法。
Moment closure on general discrete structures often requires one of the following: (i) an absence of short-closed loops (zero clustering); (ii) existence of a spatial scale; (iii) ad hoc assumptions. Algebraic methods are presented to avoid the use of such assumptions for populations based on clumps and are applied to both SIR and macroparasite disease dynamics. One approach involves a series of approximations that can be derived systematically, and another is exact and based on Lie algebraic methods.