A mass treatment model for endemic reduction of filaria disease with pre-testing

In 2000 WHO had issued a Global Program to Eliminate Lymphatic Filariasis by 2020. Lymphatic Filariasis is an infectious disease that may cause permanent disability to the infected human. This disease is caused by parasitic worms and transmitted by mosquitoes. In the acute cases, the infected persons will undergo swelling in parts of their body. One of the treatment which has been successfully implemented in some countries is the Diethylcarbamazine (DEC) mass treatment. This treatment, which was implemented every year for the period of few years in some endemic region, is able to kill microfilaria within human body and partially kills the macro filaria. In this paper, a host-vector model for transmission of filariasis is constructed, in which all non-chronic individuals are separated in different compartments. Stability analysis of the disease-free equilibrium and the existence of the endemic equilibria are shown. Numerical analysis and simulation will be conducted to estimate the effectiveness of treatment and to asses the long-term dynamic effect after treatment.