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#BIFURCATION FINGERPRINT SERIES#
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This number characterizes the type of bifurcation when the basic reproduction number is equal to one. To measure the reinfection forces, this paper defines a second threshold: the basic reinfection number. Causes for this phenomenon include exogenous reinfection, super-infection, relapse, vaccination exercises, heterogeneity among subpopulations, etc. We formulate the basic reinfection number for a variety of epidemiological models.ĪB - Some epidemiological models exhibit bi-stable dynamics even when the basic reproduction number R0 is below 1, through a phenomenon known as a backward bifurcation. N2 - Some epidemiological models exhibit bi-stable dynamics even when the basic reproduction number R0 is below 1, through a phenomenon known as a backward bifurcation. © 2021 American Institute of Mathematical Sciences. T1 - Basic reinfection number and backward bifurcation