. A Mathematical Model of the Transmission Dynamics of Geohelminthes Infection in Minna, Nigeria

Abstract

Geoheminthes infections have caused great morbidity and economic loss globally. Protecting children from this infection has become one of the principal objectives of health administrators all over the world. Development of a framework that predicts the optimal intervention level needed to effectively control this infection is indispensible. In this study, a deterministic mathematical model of the transmission dynamics of geohelminthes infection was developed, observance of hygiene and administration of medication whose effect wane over time was used to provide the framework for the model. It was observed from the simulation of the model that, when the contact rate () between human and parasite is 0.1, the infected class () will be < 100 in 10years. Parasite density in the environment will be negligible in 20 years at an infection rate α = 0.2. while effective control of geohelminthes infection will be achieved in 5 years at a treatment rate for the partially recovered and treatment ratefor the fully recovered person. These results are numerically verified by constructing and simulating semi analytic solutions of the model using Maple 17. Key words: Geoheminthes infections, Deterministic Model, Maple 17 Variation of Parameter Method (VPM).