Pulse vaccination in the periodic infection rate SIR epidemic model

Details Pulse vaccination in the periodic infection rate SIR epidemic model Pulse vaccination in the periodic infection rate SIR epidemic model

2006-06-09

arxiv.org/abs/nlin/0606027v1

2008 International Journal of Biomathematics 1:409-432

Nonlinear Sciences

Chaotic Dynamics

17pages and 3figures, submmission to Mathematical Biosciences

Scientific paper

10.1142/S1793524508000370

A pulse vaccination SIR model with periodic infection rate $\beta (t)$ have been proposed and studied. The basic reproductive number $R_0$ is defined. The dynamical behaviors of the model are analyzed with the help of persistence, bifurcation and global stability. It has been shown that the infection-free periodic solution is globally stable provided $R_0 < 1$ and is unstable if $R_0>1$. Standard bifurcation theory have been used to show the existence of the positive periodic solution for the case of $R_0 \to1^+$. Finally, the numerical simulations have been performed to show the uniqueness and the global stability of the positive periodic solution of the system.

Affiliated with

Also associated with

No associations

Rating

Pulse vaccination in the periodic infection rate SIR epidemic model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pulse vaccination in the periodic infection rate SIR epidemic model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pulse vaccination in the periodic infection rate SIR epidemic model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-410177