Abstract
In this paper we develop a mathematical model for Chagas disease with infection-age-dependent infectivity. The effects of vector and blood transfusion transmission are considered, and the infected population is structured by the infection age (the time elapsed from infection). The authors identify the basic reproduction ratio R 0 and show that the disease can invade into the susceptible population and unique endemic steady state exists if R 0>1, whereas the disease dies out if R 0 is small enough. We show that depending on parameters, backward bifurcation of endemic steady state can occur, so even if R 0<1, there could exist endemic steady states. We also discuss local and global stability of steady states.
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