School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, P.R.China.
Math Biosci Eng. 2019 Jan 29;16(2):881-897. doi: 10.3934/mbe.2019041.
In this paper, we have set up a mathematical model on the basic life cycle of clonorchiasis to fit the data of human clonorchiasis infection ratios of Guangzhou City of Guangdong Province in China from 2006-2012. By this model, we have proved that the condition of the basic reproductive number R₀>1 or R₀<1 corresponds the globally asymptotically stable of the endemic equilibrium or the disease-free equilibrium, respectively. The basic reproductive number is estimated as 1.41 with those optimal parameters. Some efficient strategies to control clonorchiasis are provided by numerical analysis of the mathematical model.
本文基于华支睾吸虫的基本生命循环建立了一个数学模型，拟合了中国广东省广州市 2006-2012 年人群华支睾吸虫感染率的数据。通过该模型，我们证明了基本繁殖数$R_0\gt1$或$R_0\lt1$分别对应地方病平衡点或无病平衡点的全局渐近稳定性。通过对该数学模型的数值分析，估计基本繁殖数为 1.41，同时得到了一些有效的华支睾吸虫病控制策略。
