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Mathematical modeling the dynamics of Clonorchiasis in Guangzhou City of China

1 School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, P.R.China
2 College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, 341000, P.R. China

Special Issues: Transmission dynamics in infectious diseases

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 $R_0>1$ or $R_0<1$ 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.
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Keywords Clonorchiasis; global asymptotical stability; basic reproductive number

Citation: Ruixia Yuan, Shujing Gao, Jicai Huang, Xinan Zhang. Mathematical modeling the dynamics of Clonorchiasis in Guangzhou City of China. Mathematical Biosciences and Engineering, 2019, 16(2): 881-897. doi: 10.3934/mbe.2019041

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