ANALISIS KESTABILAN MODEL MATEMATIKA UNTUK PERTUMBUHAN NYAMUK Aedes aegypti DENGAN MENGGUNAKAN LARVASIDA

Abstract

Aedes egypti mosquito vectors is one of the causes of disease dengue fever. In this final project discussed a model for reducing the growth of Aedes aegypti mosquito using larvicides such as citrus leaft ekstrack (Citrus aurantifolia). This model have three classes there are adult mosquito, eggs, and mosquito larvae. Using Routh Hurwitz criterion we obtained mosquito free equilibrium and mosquito endemic equilibrium. From stability analysis of simulation result it is known that the mosquito free equilibrium unstable while the mosquito endemic equilibrium stable asimtotic. The addition of larvicides such as citrus leaft ekstrack (Citrus aurantifolia) can reduce the growth of the mosquito Aedes aegypti. Keywords: Aedes aegypti, stability analysis, larvicides