Title :
The stability of a class of epidemic model
Author :
Song, Dandan ; Lian, Yongqiang ; Wang, Dingjiang
Author_Institution :
Coll. of Sci., Dept. of Appl. Math., Zhejiang Univ. of Technol., Hangzhou, China
Abstract :
This paper establishes the model which describes hepatitis by ODE. It can calculate the equilibrium points of no disease and diseasedness and discuss the stability on the basis of classifying people into three groups: the susceptible, infectors, and people who are hepatitis-free. Eventually, we give numerical simulation in terms of the actual data of hepatitis and verify its practicability.
Keywords :
diseases; numerical analysis; stability; ODE; epidemic model; equilibrium points; hepatitis; numerical simulation; Asymptotic stability; Biological system modeling; Data models; Diseases; Equations; Mathematical model; Stability analysis; epidemic model; equilibrium points; numerical simulation; stability;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002651