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Global stability of the endemic equilibrium and uniform persistence in epidemic models with subpopulations
Xiaodong Lin, Joseph W.-H. So
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Source: Crossref
Published: Jan 1, 1993
DOI: 10.1017/s0334270000008900
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Abstract We consider the epidemic model with subpopulations introduced in Hethcote [5]. It is shown that if the endemic equilibrium exists, then the system is uniformly persistent. Moreover, the endemic equilibrium is globally asymptotically stable under the assumption of small effective contact rates between different subpopulations.
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