A mathematical model for long-term effect of diethylcarbamazine-albendazole mass drug administration on lymphatic filariasis

Abstract

In this paper we discuss a mathematical model for the transmission of lymphatic filariasis disease. The human population is divided into susceptible, latent, acute and chronic subpopulations. Treatment is carried out within the scheme of mass drug administration (MDA) by giving the diethylcarbamazine (DEC) and albendazole (ALB) to all individuals. In the model, we assume that the treatments have direct killing effect to microfilariae, increase of immune-mediated effect. The treated individuals are assumed to remain susceptible to the disease. This is due to the fact that the treatment is only partially effective against macrofilaria. Simulations of the model reveals that DEC-ALB treatment does give significant reduction of acute and chronic compartments at the end of the treatment period and slow down the growth after the treatment before eventually tend to the endemic state. It showed that repeated treatment during MDA is effective to decrease the transmission. This suggests that terminating MDA program after a long period of its application may still effective in controlling the disease.