Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (5): 1003-1008.
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WANG Han, LI Huilai, LI Wenxuan
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Abstract: We established a class of measles epidemic model based on secondary vaccine failure induced by vaccination. By using the next generation matrix method, we first obtained the basic reproduction number R0 of the model and gave its biological meaning, and then proved that R0 was a sharp threshold parameter by constructing an appropriate Laypunov function. When R0≤1, the disea se-free equilibrium is globally asymptotically stable; when R0>1, the diseasefree equilibrium is unstable and the endemic equilibrium is globally asymptotically stable.
Key words: measles model, secondary vaccine failure, basic reproduction number, global stability
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WANG Han, LI Huilai, LI Wenxuan. Dynamic Behaviors of a Measles Model Based on Secondary Vaccine Failure[J].Journal of Jilin University Science Edition, 2021, 59(5): 1003-1008.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2021/V59/I5/1003
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