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Progression age enhanced backward bifurcation in an epidemic model with super-infection. (English) Zbl 1097.92046

Summary: 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.

MSC:

92D30 Epidemiology
34G20 Nonlinear differential equations in abstract spaces
34K18 Bifurcation theory of functional-differential equations
37N25 Dynamical systems in biology
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