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Mathematical modeling the dynamics of Clonorchiasis in Guangzhou City of China

  • Received: 27 October 2018 Accepted: 12 December 2018 Published: 30 January 2019
  • 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.

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

    Related Papers:

  • 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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