Stability analysis for SIS epidemic models with vaccination and constant population size

Discrete and Continuous Dynamical Systems - Series B

Volumn 4, Issue 3, 2004, Pages 635-643

  Li, Jianquan ^a,b   Ma, Zhien ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b AIR FORCE ENGINEERING UNIVERSITY   (China)

Author keywords

Epidemic models; Global stability; Thresholds; Vaccination

Indexed keywords

EID: 2942636034     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2004.4.635     Document Type: Conference Paper

References (8)

1. D. Greenhalgh, Hopf Bifurcation in epidemic models with a latent period and nonpermanent immunity, Mathl. Comput. Modelling 25(1997), 85-107.
2. C. M. Kribs-Zaleta, J. X. Velasco-Hernández, A simple vaccination model with multiple endemic states, Math. Biosci. 164(2000), 183-201.
3. R. V. Culshaw, S. Ruan, A delay-differential equation model of HIV infection of CD4+́, Math. Biosci. 165(2000), 27-39.
4. Y. Kuang, Delay-differential equations with applications in population dynamics, Academic Press, New York, 1993.
5. J. P. LaSalle, The stability of dynamical systems, Regional to Conference Series in Applied Mathematics, SIAM, Philadelphia, 1976.
6. R. Bellman, K. L. Cooke, Differential-difference equations, Academic Press, New York, 1963.
7. J. Li, Z. Ma, Qualitative analyses of SIS epidemic model with vaccination and varying total population size, Mathl. Comput. Modelling 20(2002), 1235-1243.
8. F. Brauer, A model for an SI disease in an age - structured population, Discrete and continuous dynamical systems-series B 2(2002), 257-264.