Modeling the consciousness classification effect on the vertical
transmission of HIV/AIDS
Abstract
In this paper, we propose a dynamical model of AIDS which considers
consciousness classification effect on vertical transmission. We
separate the adult HIV infectives into two subclasses: ‘the unconscious
class’ and ‘the conscious class’. We divide children into susceptible
persons and AIDS patients. Furthermore, we consider the influence of
susceptible persons and different infected persons on vertical
transmission from mother to child. We calculate the basic reproduction
number of the mathematical model. We explore the existence and local
stability of all equilibria. The analysis further indicates that
enhancing the HIV infectives’ awareness of disease and improving the
proportion of conscious infectives could effectively control AIDS.
Consequently, strengthening the publicity and education is of vital
importance. We should improve the mass awareness and capability of
disease prevention, thereby effectively reducing the contact rate.
Moreover, we are supposed to enhance the HIV infectives’ consciousness
of disease and improve the proportion of conscious infectives. Finally,
a detailed conclusion ends the paper.