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Global stability of multi-group vaccination epidemic models with delays

✍ Scribed by Deqiong Ding; Xiaohua Ding

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
216 KB
Volume
12
Category
Article
ISSN
1468-1218

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✦ Synopsis

In this paper, we investigate a class of multi-group vaccination epidemic models with delays. We show that the global dynamics are determined by the threshold criterion Οƒ (A). We present that when Οƒ (A) < 0, there is a unique disease-free equilibrium which is globally asymptotically stable; when Οƒ (A) > 0, there exists a unique endemic equilibrium and it is globally asymptotically stable proved by a graph-theoretic approach to the method of global Lyapunov functionals.

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