Title :
Asymptotical behavior of SIR epidemic models with vertical transmission and impulsive vaccination
Author_Institution :
Dept. of Math., Bohai Univ., Jinzhou, China
Abstract :
In this paper, we discuss SIR epidemic models with vertical transmission and impulsive vaccination which may inherently oscillate. We obtain the conditions for which the epidemic elimination solution is globally asymptotically stable. On the other hand, by the impulsive bifurcation theory, we prove the existence of a stable positive periodic solution.
Keywords :
biology computing; diseases; medical computing; SIR epidemic model; asymptotic stability; asymptotical behavior; impulsive bifurcation theory; impulsive vaccination; vertical transmission; Artificial neural networks; Biological system modeling; SIR epidemic model; globally asymptotically stable; impulsive vaccination; saturated incidence rate; vertical transmission;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5619154
