Progression age enhanced backward bifurcation in an epidemic model with super-infection

被引:0
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作者
Maia Martcheva
Horst R. Thieme
机构
[1] Department of Mathematics,
[2] Polytechnic University,undefined
[3] Brooklyn,undefined
[4] NY 11201,undefined
[5] USA. e-mail: mayam@duke.poly.edu,undefined
[6] Department of Mathematics,undefined
[7] Arizona State University,undefined
[8] Tempe,undefined
[9] AZ,undefined
[10] 85287-1804,undefined
[11] USA. e-mail: h.thieme@asu.edu,undefined
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关键词
Reproduction Number; Epidemic Model; Variable Susceptibility; Basic Reproduction Number; Exposed Class;
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摘要
 We consider a model for a disease with a progressing and a quiescent exposed class and variable susceptibility to super-infection. The model exhibits backward bifurcations under certain conditions, which allow for both stable and unstable endemic states when the basic reproduction number is smaller than one.
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页码:385 / 424
页数:39
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