The study incorporated host heterogeneous exposure to Onchocerciasis into four simple compartmental of both human and vector host regulatory processes, which is of initial value problems of a systems of ordinary differential equations, with newborns being susceptible, in which both births and deaths occurs at equal rate. The control of Onchocerciasis currently focuses on Community Directed Treatment with Ivermectin, CDTI, which effectively kills the Onchocerca volvulus microfilarae in the human hosts. In this study, the asymptotically stability analysis is determined for the disease free equilibrium and endemic equilibrium states. Furthermore, on using principles of linearised stability, the study established that the state of total eradication of Onchocerciasis would be stable and becomes reality if the CDTI control strategies are maintained throughout the targeted period, hence the population is sustainable.