On pulse vaccination strategy in the SIR epidemic model with vertical transmission. (English) Zbl 1064.92041
Summary: The aim of this short paper is to improve a result recently given by Z. Lu et al. [Math. Comput. Modelling 36, No. 9–10, 1039–1057 (2002; Zbl 1023.92026)] on the global asymptotic stability of the eradication solution of the pulse vaccination strategy applied to diseases with vertical transmission, by demonstrating that the condition for local stability guarantees also the global stability.
Keywords:
Deterministic epidemic models; Stability theory; Impulsive differential equations; Vaccinations; Vertical transmissionCitations:
Zbl 1023.92026References:
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