Title :
A SIS epidemic model with impulsive vaccination
Author :
De la Sen, Manuel ; Alonso-Quesada, S. ; Ibeas, Asier
Author_Institution :
Dept. of Electr. & Electron., Univ. of Basque Country, Leioa, Spain
Abstract :
This paper studies a time-varying SIS (i.e. containing susceptible and infected populations) propagation disease model exhibiting a nonlinear incidence rate and impulsive eventual culling of both populations so that the individuals recover with no immunity to the disease. The nonlinear incidence rate consists of two time-varying additive terms proportional to the susceptible and infected populations normalized to the total population.
Keywords :
diseases; SIS epidemic model; impulsive vaccination; infected populations; nonlinear incidence rate; time-varying SIS; time-varying additive terms; Biological system modeling; Diseases; Limiting; Mathematical model; Modeling; Sociology; Statistics; SEIR epidemic models; epidemic models; positivity; stability; vaccination control;
Conference_Titel :
Industrial Engineering and Engineering Management (IEEM), 2013 IEEE International Conference on
Conference_Location :
Bangkok
DOI :
10.1109/IEEM.2013.6962592