Mathematical model for the dynamics and control of sickle cell disease and its complications in a population

Abstract

In this paper we developed a mathematical model to study the dynamics of sickle cell disease in a population. We assumed that an incidence of the disease occurs if a person inherits the disease from his parents, at first without complications, and then with time the person may develop complications. The study partitioned the population of sicklers into; Population of sicklers without complications and population of sicklers with complications. The major result of this study suggested that; a study of the genetics of the transmission mechanism of the sickle cell gene should be carried out with a view to adopt artificial selection (that is; to counsel carriers of the sickle cell gene and full blown sicklers on marital couple selection) to control the incidence of the disease, this will in turn control sickle cell disease in a population.