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Flooding is a common problem that occurs in some regions of Indonesia, including Makassar city. In the planning of flood control, rainfall variables are very necessary as the frequency, intensity and duration of rainfall. The relationship of these variables can be expressed in a curve Intensity-Duration-Frequency (IDF). The objectives of this study are to identify the best fitting distribution of rainfall data of Makassar city and also to model the relationship between rainfall intensity, rainfall duration and rainfall frequency that is described through IDF curves. The annual maximum daily rainfall data from Ujung Pandang rainfall station of Makassar is used in this study for the period 1986-2015. Data collection was performed at the Department of Water Resources Management in South Sulawesi province. Five distributions which are considered are Gumbel, Generalized Extreme Value (GEV), Generalized Pareto (GPA), Generalized Logistic (GLO) and Pearson type III (P3) distributions. The study result found that the probability distribution of rainfall data in Makassar city has a generalized extreme value distribution. Meantime, based on IDF curves shown that the longer the rainfall duration, the rainfall intensity decreases for various return periods. The results of this study are expected to be valuable information for designers of water management.

This study is aimed at building and analysing a SIRS model and also simulating the model to predict the number of dengue fever cases. Methods applied for this model are building the SIRS model by modifying the SIR model, analysing the SIRS model using the Lyapunov function to prove three theorems (the existence, the free disease, and the endemic status of dengue fever), and simulating the SIRS model using the number of dengue case data in South Sulawesi by Maple. The results obtained are the SIRS model of dengue fever transmission, stability analysis, global stability, and the value of the basic reproduction number R 0 . The simulation done for the dengue fever case in South Sulawesi found the basic reproduction number R 0 = 26.47609 > 1 ; it means that South Sulawesi is in the endemic stage of transmission for dengue fever disease. Simulation of the SIRS model for dengue fever can predict the number of dengue cases in South Sulawesi that could be a recommendation for the government in an effort to prevent the number of dengue fever cases.

Abstrak. Pada penelitian ini, tingkat vaksinasi dan tingkat treatment dibandingkan untuk melihat pengaruhnya pada penyebaran penyakit. Diperoleh tingkat vaksinasi minimum dan tingkat treatment minimum yang dibutuhkan agar penyakit dapat  menghilang dari populasi. Untuk tingkat vaksinasi dan tingkat treatment di atas vaksinasi minimum dan treatment minimum, semakin besar tingkat vaksinasi dan tingkat treatment menyebabkan proporsi jumlah individu Susceptible semakin kecil, artinya penderita penyakit kolera berangsur-angsur semakin berkurang dan penyakit akan menghilang dari populasi dan tidak terjadi endemik.Kata kunci: model SEIRS, kolera, vaksinasi, treatment.Abstract. In this study, the rate of vaccination and treatment than to see the effects on the spread of the disease. In this case, obtained the minimum vaccination and treatment level of the minimum needed for the disease can disappear from the population. For vaccination rates and treatment level above the minimum vaccination and minimum treatment, the greater the rate of vaccination and treatment levels cause the proportion of Susceptible individuals getting smaller, meaning that people with cholera gradually diminishing and the disease will disappear from the population and there is no endemic.Keywords: SEIRS model, cholera, vaccination, treatment