Open AccessThe backward bifurcation of an age-structured cholera transmission model with saturation incidence
Author(s) -
Zhiping Liu,
Zhen Jin,
Junyuan Yang,
Juan Zhang
Publication year - 2022
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.2022580
Subject(s) - basic reproduction number , epidemic model , bifurcation , vaccination , incidence (geometry) , mathematics , saturation (graph theory) , cholera , demography , biology , physics , immunology , virology , population , geometry , nonlinear system , combinatorics , quantum mechanics , sociology
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.