两个流行病中心之间的随机迁移过程
Randomized migration processes between two epidemic centers
摘要：
研究了传染病中心相互作用的随机网络中的传染病动力学问题。流行病和迁移过程的马尔可夫链建模。导出了迁移过程概率分布的显式公式。分析和数值研究了爆发参数对初始参数、种群、耦合参数的依赖性。导出了一般迁移过程的平均场近似。提出了一种近似方法，允许计算的统计矩的网络与人口稠密的中心，并进行了数值测试。
英文摘要：
Epidemic dynamics in a stochastic network of interacting epidemic centers is considered. The epidemic and migration processes are modelled by Markov's chains. Explicit formulas for probability distribution of the migration process are derived. Dependence of outbreak parameters on initial parameters, population, coupling parameters is examined analytically and numerically. The mean field approximation for a general migration process is derived. An approximate method allowing computation of statistical moments for networks with highly populated centres is proposed and tested numerically.
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