Abstract
In this paper, we propose a new mathematical model to investigate the transmission dynamics of dengue. The model is based on an age-structured system of differential and integral equations that couples the host and mosquito populations and that incorporates both symptomatic and asymptomatic infections. We derive the basic reproduction number and conduct a rigorous analysis on the local and global stabilities of the disease-free steady state. Meanwhile, we study the existence of the endemic steady states and explore conditions that could lead to the occurrence of a backward bifurcation. In addition, we establish the weak and strong uniform persistence properties of the system.
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