Stability on coupling SIR epidemic models with vaccination. (English) Zbl 1089.92046

Liu, Helong; Xu, Houbao; Yu, Jingyuan; Zhu, Guangtian

J. Appl. Math. 2005, No. 4, 301-319 (2005).

Summary: We develop a mathematical model for a disease which can be transmitted via vectors and through blood transfusion in host populations. The host population is structured by chronological age. We assume that the instantaneous death and infection rates depend on age. Applying, among other tools, semigroup theory, we investigate the existence of equilibria. We also discuss local stability of steady states.

MSC:

92D30	Epidemiology
35B35	Stability in context of PDEs
47D03	Groups and semigroups of linear operators
47N60	Applications of operator theory in chemistry and life sciences
47A10	Spectrum, resolvent

Keywords:

non-supporting operators; quasi-compact operators; concave operators