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Dynamics of infection with nonlinear incidence in a simple vaccination model
- Source :
-
Nonlinear Analysis: Real World Applications . Oct2010, Vol. 11 Issue 5, p4154-4163. 10p. - Publication Year :
- 2010
-
Abstract
- Abstract: We develop and analyze a simple SIV epidemic model including susceptible, infected and imperfectly vaccinated classes, with a nonlinear incidence rate. We investigate the interaction of the nonlinear incidence and partial immunity. Our main results show that nonlinear incidence rate could induce the forward bifurcation with hysteresis except for the backward bifurcation. The plausible effects of vaccination program have been demonstrated by two models with nonlinear incidence rate. Vaccination program may contribute to disease spread, depending on which transmission term involves nonlinear incidence rate. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14681218
- Volume :
- 11
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis: Real World Applications
- Publication Type :
- Academic Journal
- Accession number :
- 52913651
- Full Text :
- https://doi.org/10.1016/j.nonrwa.2010.05.002