Infectious diseases may have multiple infectious stages with very different epidemiological attributes, including infectivity and disease progression. These stages are often assumed to have exponentially distributed durations in epidemiological models. However, models that use the exponential distribution assumption (EDA) may generate biased and even misleading results in some cases. This discr...

A mathematical model of infectious disease contagion that accounts for population stratification based on immunity criteria is proposed. Our goal to demonstrate the effectiveness this idea in preventing different epidemics and lessen significant financial human costs these diseases cause. We determined fundamental reproduction rate, with help we were able examine stability free equilibrium poin...

Mathematical Population Studies (MPS) has been devoting special interest and significant publication space to the study of epidemics from its first volumes. In particular, research on the HIV/AIDS epidemic has been extensively published in the journal. An entire issue (Volume 3, Issue 3) has been devoted to the demographic modelling of this epidemic in 1992. See, for example, Blythe (1992) and ...