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- W3101260690 abstract "<p style='text-indent:20px;'>In this paper, based on the transmission mechanism of echinococcosis in China, we propose a discrete-time dynamical model for the transmission of echinococcosis. The research results indicate that transmission dynamics of this discrete-time model are determined by basic reproduction number <inline-formula><tex-math id=M1>begin{document}$ R_{0} $end{document}</tex-math></inline-formula>. It is shown that when <inline-formula><tex-math id=M2>begin{document}$ R_{0}leq1 $end{document}</tex-math></inline-formula> then the disease-free equilibrium is globally asymptotically stable and when <inline-formula><tex-math id=M3>begin{document}$ R_{0}>1 $end{document}</tex-math></inline-formula> then the model is permanent while the disease-free equilibrium is unstable. Finally, on the basis of the theoretical results established in this paper, we come up with some specific measures to control the transmission of echinococcosis." @default.
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- W3101260690 date "2021-01-01" @default.
- W3101260690 modified "2023-09-26" @default.
- W3101260690 title "The threshold dynamics of a discrete-time echinococcosis transmission model" @default.
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- W3101260690 doi "https://doi.org/10.3934/dcdsb.2020339" @default.
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