Global stability of the age structural transmission model for swine flu

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Abstract

In this paper, we examine the global stability of swine flu transmission model incorporated the age structure of human population based on SEIQR (susceptible-exposed-infected-quarantined-recovered) model. The human population is divided into three groups such as 1-10 years, 11-20 years and more than 20 years, respectively. We obtain four equilibrium states and then construct Lyapunov functions with the conditions for global stability of these four equilibrium states. © 2013 Pushpa Publishing House, Allahabad, India.

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Age structure, Global stability, Lyapunov functions, SEIQR model, Swine flu

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Far East Journal of Mathematical Sciences, 80(1), 55-84, 2013

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