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

Interval observer for uncertain time-varying SIR-SI epidemiological model of vector-borne disease