Stability of an age-structured epidemiological model for hepatitis C |
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Authors: | Xue-Zhi Li Ji-Xuan Liu |
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Institution: | 1. Department of Mathematics, Xinyang Normal University, Xinyang, 464000, People’s Republic of China
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Abstract: | This article introduces an age-structured epidemiological model for the disease transmission dynamics of hepatitis C. We first show that the infection-free steady state is locally and globally asymptotically stable if the basic reproductive number ? 0 is below one, in this case, the disease always dies out, then we prove that at least one endemic steady state exists when the reproductive number ? 0 is above one, the stability conditions for the endemic steady states are also given. |
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