Mathematical model of epidemics with intermediate classes

Abstract

In this paper we present a Mathematical model for diseases that place some new recruits from the susceptible class into an “exposed but not yet infectious” class which we denote by E. The rest of the susceptible class can be infected directly. The model is developed and its steady state determined. The stability of the steady state was analyzed and it was found that the steady state is a saddle point. The disease free steady state was also analyzed and it was shown that it is stable if N < γ/β. This means that it may easy to achieve a disease free state provided the population size has a bound, (N < γ/β).

JONAMP Vol. 11 2007: pp. 149-152