The backward bifurcation of an age-structured cholera transmission model with saturation incidence br

被引：3
|
作者：
Liu, Zhiping [1 ,2 ]
Jin, Zhen [2 ,3 ]
Yang, Junyuan [2 ,3 ]
Zhang, Juan [2 ,3 ]
机构：
[1] North Univ China, Sch Data Sci & Technol, Taiyuan 030051, Shanxi, Peoples R China
[2] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
[3] Shanxi Univ, Shanxi Key Lab Math Tech & Big Data Anal Dis Contr, Taiyuan 030006, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2022年 / 19卷 / 12期
基金：
中国国家自然科学基金;
关键词：
age-structured cholera model; saturation incidence; vaccination age; backward bifurcation; control measure; DYNAMICS; HYPERINFECTIVITY;
D O I：
10.3934/mbe.2022580
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we consider an age-structured cholera model with saturation incidence, vaccination age of vaccinated individuals, infection age of infected individuals, and biological age of pathogens. First, the basic reproduction number is calculated. When the basic reproduction number is less than one, the disease-free equilibrium is locally stable. Further, the existence of backward bifurcation of the model is obtained. Numerically, we also compared the effects of various control measures, including basic control measures and vaccination, on the number of infected individuals
引用
收藏
页码：12427 / 12447
页数：21
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