  The issue of state estimation is considered for an SIR-SI epidemiological
model describing a vector-borne disease such as dengue fever, subject to
seasonal variations. Assuming continuous measurement of the incidence rate
(that is the number of new infectives in the host population per unit time), a
class of interval observers with estimate-dependent gain is constructed, and
asymptotic error bounds are provided. The synthesis method is based on the
search for a common linear Lyapunov function for monotone systems that
represent the evolution of the estimation errors.
