#TITLE_ALTERNATIVE#

• Main Author: MUHAMAD FUADY (NIM 10107063); Pembimbing : Prof. Dr. Edy Soewono, ANGGA
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/13978
• Institution: Institut Teknologi Bandung

Filariasis is an infectious disease that may cause permanent disability to the <br /> <br /> <br /> <br /> <br /> infected human. This desease is caused by parasitic worms and transmitted <br /> <br /> <br /> <br /> <br /> by mosquitoes. In the accute case the infected persons will undergo swelling <br /> <br /> <br /> <br /> <br /> in parts of their body. Indonesia has several endemic regions of filariasis with <br /> <br /> <br /> <br /> <br /> different level of prevalences. One of the treatment which has been successfully <br /> <br /> <br /> <br /> <br /> implemented in some countries is the Diethylcarbamazine (DEC) mass <br /> <br /> <br /> <br /> <br /> treatment. This treatment which is implemented every year for the period <br /> <br /> <br /> <br /> <br /> of few years is able to kill microfilaria within human body and partially kills <br /> <br /> <br /> <br /> <br /> the macro filaria. Here in this final project, a host-vector model for transmission <br /> <br /> <br /> <br /> <br /> of filariasis is constructed, in which the treated people are separated in <br /> <br /> <br /> <br /> <br /> different compartments. The basic reproductive ratio of the dynamic before <br /> <br /> <br /> <br /> <br /> the treatment is obtained from the largest eigen value of the next generation <br /> <br /> <br /> <br /> <br /> matrix. Stability analysis of the disease free equilibrium and the existence of <br /> <br /> <br /> <br /> <br /> the endemic equilibria are shown. Numerical results are presented for various <br /> <br /> <br /> <br /> <br /> treatment scenarios and analysis of reappearance of the outbreak after the <br /> <br /> <br /> <br /> <br /> treatment is shown.