Abstract:
Many mathematical models have been developed through differential equations to understand agedependent infectiousness of diseases. These models face the complexity of heterogeneity of disease transmission
in different age groups which leads to complicated parameter estimation. Proposed model in this paper conveys the
applicability of integral equations to interpret the age dependency on general behavior of infectiousness. Acquired
immunity and mobility of hosts are considered here as main influencing factors. The degenerated kernel plays a
major role in this proposed structure allowing time-dependent influences too.
