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- W2086579891 abstract "Abstract In this paper, a class of discrete SIRS epidemic models with disease courses is studied. The basic reproduction number <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>R</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> is computed. The main results on the permanence and extinction of the disease are established. That is, the disease-free equilibrium is globally attractive if <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>R</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo><</mml:mo> <mml:mn>1</mml:mn> </mml:math> , and there exists a unique endemic equilibrium and the disease is also permanent if <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>R</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo>></mml:mo> <mml:mn>1</mml:mn> </mml:math> . MSC: 39A30, 92D30." @default.
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- W2086579891 date "2013-03-15" @default.
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- W2086579891 title "Global dynamics in a class of discrete-time epidemic models with disease courses" @default.
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- W2086579891 doi "https://doi.org/10.1186/1687-1847-2013-57" @default.
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