Pustaka Ilmiah Universitas Padjadjaran

Abstrak

A Mathematical Model For Disease Transmission With Age-structure

Many diseases are known to have specific properties, such as one might be easier to transmit to adults while the other might be easier to infect children. For this reason, incorporating agestructure in modelling the disease transmission will give a better insight into how the disease spreads. However, many mathematical models have ignored this age-structure in analysing the disease transmission. In this paper we discuss a simple mathematical model for disease transmission with the inclusion of age-structure. Some classical questions such as the equilibrium population size, the basic reproductive number and the critical vaccination level are investigated. The results show that some properties to some extent are the generalization of the non-agestructure results while some are quite different from the known non-age-structure results.