Study on a pulse vaccination model with delay and saturation incidence

Abstract

Keywords:
• saturation incidence,
• delay,
• pulse vaccination model,
• infectious disease control and prevention strategies

References

1. [1]

   d'Onofrio A.Stability properties of pulse vaccination strategy in SEIR epidemic model[J].Math Biosci,2002,179(1):57.

2. [2]

   Shulgin B,Stone L,Agur Z.Pulse vaccination strategy in the SIR epidemic model[J].Bull Math Biol,1998,60:1123.

3. [3]

   Stone L,Shulgin B,Agur Z.Theoretical examination of the pulse vaccination policy in the SIR epidemic model[J].Math Comp Modelling,2000,31:207.

4. [4]

   Agur Z,Cojocaru L,Mazor G,et al.Pulse mass measles vaccination across age cohorts[J].Proc Nat Acad Sci USA,1993,90:11698.

5. [5]

   Hui J,Chen L.Impulsive vaccination of SIR epidemic models with nonlinear incidence rates[J].Discrete and Continuous Dynamical System(Series B),2004(4):595.

6. [6]

   Liu W M,Hethcote H W,Levin S A.Dynamical behavior of epidemiological models with nonlinear incidence rates[J].J Math Biol,1987,25(4):359.

7. [7]

   Liu W M,Levin S A,Iwasa Y.Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models[J].J Math Biol,1986,23(2):187.

8. [8]

   Cull P.Global stability for population models[J].Bull Math Bio,1981,43(1):47.

Proportional views