Applied Research of PSO in Parameter Estimation of Richards Model

Ting-fa Wu, Jun-Bin You, Meijuan Yan, Hao-jun Sun
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Abstract

It's significant to establish a mathematical model for the spread of epidemic, to help control the epidemic situation and minimize their impacts. In this paper, Richards model is proposed to fit the spread and PSO is employed to estimate the parameters of Richards model. Meanwhile concave function decreasing strategy and linear decreasing strategy are adopted to update the particle's velocity inertia weights respectively, and a new object function in the sense of normalized cross-correlation is built. The experiment result indicates that, PSO is a valid method for the parameter estimation of Richards model.
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粒子群算法在Richards模型参数估计中的应用研究
建立疫情传播的数学模型,对控制疫情、减少疫情影响具有重要意义。本文提出了Richards模型来拟合分布,并利用粒子群算法估计Richards模型的参数。同时采用凹函数递减策略和线性递减策略分别更新粒子的速度惯性权值,建立归一化互相关意义上的新目标函数。实验结果表明,粒子群算法是一种有效的Richards模型参数估计方法。
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