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Effects of disease characteristics and population distribution on dynamics of epidemic spreading among residential sites

机译:疾病特征和人口分布对居民点之间流行病传播动态的影响

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We investigate the spreading processes of epidemic diseases among many residential sites for different disease characteristics and different population distributions by constructing and solving a set of integrodifferential equations for the evolutions of position-dependent infected and infective rates, taking into account the infection processes both within a single site and among different sites. In a spreading process the states of an individual include susceptible (S), incubative (1), active (A) and recovered (R) states. Although the transition from S to I mainly depends on the active rate, the susceptible rate and the connectivity among individuals, the transitions from I to A and from A to R are determined by intrinsic characteristics of disease development in individuals. We adopt incubation and infection periods to describe the intrinsic features of the disease. By numerically solving the equations we find that the asymptotic behavior of the spreading crucially depends on the infection period and the population under affection of an active individual. Other factors, such as the structure of network and the popular distribution, play less important roles. The study may provide useful information for analyzing the key parameters affecting the dynamics and the asymptotic behavior. (c) 2008 Elsevier B.V. All rights reserved.
机译:我们通过构建和求解针对位置相关感染率和感染率的演化的一组积分微分方程,研究了针对不同疾病特征和不同人口分布的许多居民点之间的流行病传播过程,同时考虑了感染过程中的感染过程。单个站点和不同站点之间。在传播过程中,个体的状态包括易感(S),孵化(1),活动(A)和恢复(R)状态。尽管从S到I的转变主要取决于活跃率,易感率和个体之间的连通性,但是从I到A以及从A到R的转变取决于个体疾病发展的内在特征。我们采用潜伏期和感染期来描述疾病的内在特征。通过对方程进行数值求解,我们发现传播的渐近行为关键取决于感染期和活跃个体影响下的种群。其他因素,例如网络的结构和流行的分布,起着不太重要的作用。该研究可为分析影响动力学和渐近行为的关键参数提供有用的信息。 (c)2008 Elsevier B.V.保留所有权利。

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