Integral equation approach for modeling age-dependent infectiousness of diseases

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.