Improved Continuous Approximation of PEPA Models through Epidemiological Examples
Improved Continuous Approximation of PEPA Models through Epidemiological Examples
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DOI：
10.1016/j.entcs.2009.02.005
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发表时间：
2009-02
影响因子：
8.8
通讯作者：
Soufiene Benkirane;J. Hillston;C. McCaig;R. Norman;C. Shankland
中科院分区：
文献类型：
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作者：
Soufiene Benkirane;J. Hillston;C. McCaig;R. Norman;C. Shankland
我们提出了两个基于个人的疾病系统模型，使用PEPA（性能评估过程代数）。这些模型探索了不同的疾病传播机制：直接传播（如麻疹）和间接传播（如疟疾，通过蚊子）。我们提取常微分方程（ODEs）作为一个连续的近似的PEPA模型，使用希尔斯顿方法，并比较这些与传统上使用的ODE疾病模型和随机模拟的结果。改进的希尔斯顿方法的ODE提取的这种情况下，提出了新的结果比较有利的随机模拟结果和ODE的等效模型在WSCCS（加权同步演算通信系统）。
We present two individual based models of disease systems using PEPA (Performance Evaluation Process Algebra). The models explore contrasting mechanisms of disease transmission: direct transmission (e.g. measles) and indirect transmission (e.g. malaria, via mosquitos). We extract ordinary differential equations (ODEs) as a continuous approximation to the PEPA models using the Hillston method and compare these with the traditionally used ODE disease models and with the results of stochastic simulation. Improvements to the Hillston method of ODE extraction for this context are proposed, and the new results compare favourably with stochastic simulation results and to ODEs derived for equivalent models in WSCCS (Weighted Synchronous Calculus of Communicating Systems).