| Abstract: |
| We present an epidemiological model for vector-borne diseases, including witihin-host viral load and antibody dynamics, via structured (transport) equations. The within-host dynamics is present in the infected and recovered host compartments. The structure induces nonlinearities and nonlocalities in the formulation. We analyse the model, showing well-posedness, mass conservation, and study the characteristic curves of the transport equation. We deduce a simplified Uniform Host Response (UHR) model which includes delay-type terms. For both the full and UHR model, we determine the basic reproduction number $R_0$ and comment on its relation to linear stability of the disease-free equilibrium. We show with numerical experiments how the within-host dynamics influences the epidemiological outcomes. This is joint work with M.S. Aronna and D.O. Medeiros. |
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