Open AccessMathematical modeling the dynamics of Clonorchiasis in Guangzhou City of China
Author(s) -
Ruixia Yuan,
Shujing Gao,
Jicai Huang,
Xinan Zhang
Publication year - 2019
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2019041
Subject(s) - clonorchiasis , basic reproduction number , mathematics , china , biology , geography , zoology , demography , population , sociology , helminths , archaeology
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.