On Existence and Stability Analysis on Effects of Ivermectin Drugs: Modeling the Dynamics and Control of Onchocerciasis Disease in Nigeria

Abstract

The study incorporates the effects of ivermectin drugs, which effectively kills the onchocerca volvulus microfilarae in the human hosts. The study examined the existences and Equilibrium states of the model systems, and also carried out the stability analysis of the models equilibrium states using Bellman and Cooke’s theorem. It was established that the state of total eradication of Onchocerciasis would be achieved and asymptotically stable in Nigeria if and only if, j = F (0) G^I (0) > 0  whenever the ivermectin drugs and other control measures are maintained throughout the targeted period.