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Journal : JURNAL ILMIAH MATEMATIKA DAN TERAPAN

MEMBANGUN MODEL PENYEBARAN HAMA DAN PENYAKIT PADA BAWANG MERAH PALU (Allium ascalonicum L.) Mutmainnah, M; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 14 No. 2 (2017)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (531.782 KB) | DOI: 10.22487/2540766X.2017.v14.i2.9022

Abstract

MEMBANGUN MODEL PENYEBARAN HAMA DAN PENYAKIT PADA  BAWANG MERAH PALU (Allium ascalonicum L.)
ANALISIS KESTABILAN MODEL MATEMATIKA PENYEBARAN PENYAKIT SIFILIS PADA MANUSIA Muliyani, N; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 1 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (751.585 KB) | DOI: 10.22487/2540766X.2018.v15.i1.10189

Abstract

Syphilis is a sexually transmitted infection caused by the bacterium Treponema pallidum spiroset subspecies pallidum. Transmitted through sexual contact, the infection can also be transfered from mother to fetus during pregnancy or at birth, that causes congenital syphilis. The mathematical model that represents the spread of the disease was adapted from a mathematical model SEI. The model classifiles human population into vulnerable suscepted  women and men, Exposed , and Infected , sub-populations of women vulnerable , sub-populations women incubation period , sub-populations of women infected  and a sub-population of men vulnerable , sub-populations incubation period male , sub-populations laki- infected men  considered in the model. The derived models gives two critical point that is free disease and endemic critical point. The existence of a critical point  must satisfye  and . The model was  analyzed by the linierized method and Routh-Hurwitz criteria to determine the system stability. The simulation shows that, in case of free-disease  syphilis spread condition, the population of women and men has increased. The growth of women population is higher than the men population. it means that the spread of syphilis occurs faster in the men sub-population. In endemic condition of syphilis disease spread, the women population will growth rapidly than the men population.
PREDIKSI PENYAKIT TUBERCULOSIS PARU (TB PARU) MENGGUNAKAN METODE LEARNING VEKTOR QUANTIZATION (LVQ) Rahmadani, A W; Jaya, A I; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 1 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (569.103 KB) | DOI: 10.22487/2540766X.2018.v15.i1.10191

Abstract

Tuberculosis pulmonary (TB pulmonary) is a contagious disease that attacks the lungs that can spread through the air when a person active TB cough, sneeze or talk. This study aims to predict Tuberculosis pulmonary disease  using Learning Vector quantization based on data from the medical records of the health centers kamonji, Palu city. The study was conducted using 8 TB pulmonary disease risk factors which are age, gender, fever, long cough, cough, chest pain, shortness of breath, and decreased body weight. Classification is done by using 100 data consisting of 80 training data and 20 testing data. Results of the study showed that tested all the data correctly with rank of accuracy is 100%.
MEMBANGUN MODEL DINAMIS PENANGKARAN POPULASI MALEO (Macrochepalon Maleo) YANG MEMPERTAHANKAN EKSISTENSINYA DARI PREDATOR Gusmawan, T; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (723.8 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11349

Abstract

Maleo (Macrocephalon maleo) is one of the endangered endemic species of Sulawesi due to diminishing spawning habitat, community exploitation and predators. The dynamic model of maleo population captivity to conserve its existence from predators is a mathematical model that describes the dynamics of maleo population growth cycle (M) with the threat of predators (P). In this study, the population of eggs maleo divided into two groups that are eggs in the free zone (Tb) and eggs in breeding (Tp). The eggs are in the captive breeding will be transfered to the exposure group (E). The model represents the interaction between the predators and populations reflecting maleo in each growth phase. The model has two critical points, namely the critical point 𝑇1 = ( 0,0,0,0, 𝜑 µ2 ) describing maleo extinction condition and critical point 𝑇2 = (𝑀∗ , 𝑇𝑝∗ ,𝐸 ∗ , 𝑇𝑏∗ , 𝑃 ∗ ) which describes the endemic conditions of maleo growth dynamics. The stability analysis shows that the system is unstable at both critical points. It is because the values of the first column in the Routh Hurwitz table changes in sign. Simulations of the endemic conditions showed that the maleo and egg populations in the free zone are decreasing with respect to time even though the exposed maleo still exist. The unstable endemic indicates that the existence of maleo breeding program in conservation areas still need another efforts support.
SISTEM SEDERHANA UNTUK MEMPREDIKSI RISIKO PEMBERIAN KREDIT Lusiyanti, D; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (394.101 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11360

Abstract

Credit risk prediction is very beneficial for the bank or financing institution in making credit decisions. In the decisionmaking, a decision maker in a banking must be able to take the right decision to accept or reject the credit application. If the decision maker is right in making a decision, then the bank will get customers who support the health and sustainability of the banking business, and vice versa. In this study, Support Vector Machien (SVM) is implemented to predict the crediting risk. The data used is data obtained from one of the financing institutions. By using different activation functions, 80.9524% accuracy is obtained or there are 51 precisely predictable data from 63 existing data
KENDALI OPTIMAL MODEL PENYEBARAN PENYAKIT BLOOD DESEASE BACTERIUM (BDB) PADA TANAMAN PISANG KEPOK DENGAN INOKULASI BAKTERI ENDOFIT Islami, N; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (624.441 KB) | DOI: 10.22487/2540766X.2019.v16.i1.12755

Abstract

Banana plants are the most widely grown plants in Indonesia. In its growth period, banana plants can experience an attack of the disease Blood Desease Bacterium (BDB) caused by Ralstonia solanacearum Phylotipe IV which is the main cause of the loss of banana yield in Indonesia. BDB can cause plant death and crop failure. To represent this phenomenon a mathematical model was developed to reperents the spread BDB of Kepok banana plants by inoculating endophytic bacteria. Adapted 2 SEI epidemic models for banana and SI plant populations for the insect population trigona spp. The SEI model of banana population is divided into 3 subclasses, namely the BDB susceptible population class (𝑆ℎ), exposed population class (𝐸ℎ), and population class infected with BDB disease (𝐼ℎ). It was also observed the class of banana population that received treatment (𝑆𝑡 ). This group was a class of banana population that was given endophytic bacteria. The SI model was adapted for the insect population trigona spp. which are grouped into 2 subclasses, namely the vulnerable population class to infect BDB (𝑆𝑣 ), and the population class is ready to infect BDB (𝐼𝑣 ). Analysis of the stability of the model is carried out at a critical point then an optimal control of the spread of BDB disease through inoculation of endophytic bacteria is carried out. Controlling the rate of suppression of BDB transmission in bananas is done by keep the β parameters (isolates of endophytic bacteria inoculated into banana plants) for the purpose of reducing the incidence of BDB in banana plants. The simulation are carried out for optimal control design, using the principle of minimum Pontryagin, optimal solutions are obtained which show that controlling BDB disease with endophytic bacterial inoculation is said to be successful because it can reduce the number of infected banana plant populations.Keywords : BDB Disease, Endophytic bacteri, Inoculation, Ralstonia Solanacearum Phylotipe IV , Trigona spp., The Minimum Principle of Pontryagin.
KONDISI MINIMAL IDEAL KIRI TERURUT PADA SEMIGRUP TERNER TERURUT PARSIAL Andri, Andri; Nacong, Nasria
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (479.87 KB) | DOI: 10.22487/2540766X.2018.v15.i2.13225

Abstract

Ternary semigroups 𝑇 is obtained from a nonempty set 𝑇 that given a mapping with a multiplication operation ternary that satisfied closed and associative properties. So, generally a ternary semigroup is an abstraction of a semigroup structure. Meanwhile, partially ordered ternary semigroups 𝑇 is an ordered semigroup 𝑇 that satisfies the properties for each 𝑎, 𝑏, 𝑐, 𝑑 ∈ 𝑇 if 𝑎 ≤ 𝑏 then (𝑎𝑐𝑑) ≤ (𝑏𝑐𝑑) and (𝑑𝑐𝑎) ≤ (𝑑𝑐𝑏). In a ternary semigroups there is also concept of left ideals. This study was conducted to examine the characteristics of ordered left ideals on partially ordered ternary semigroups. Furthermore, it will be discussed about the characteristics of minimal ordered left ideals on partially ordered semigroups.Keywords : Ternary Semigroups, Ordered Ternary Semigroups, Left Ideals, Ordered Left Ideals, Minimal of Ordered Left Ideals.
Analisa Pengendalian Persediaan Sepatu Pada PT. Buccheri Indonesia Menggunakan Metode Economic Order Quantity Sretiani, N K; Jaya, A I; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 1 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (478.967 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15170

Abstract

PT. Buccheri Indonesia is a company engaged in the sale of shoes, sandals and bags. These days the high level of competition in the shoes and sandals industry makes every manufacturer of shoes and sandals must pay close attention to market changes. Inventory is the most important thing in a company and has an important influence on business functions, especially the operational functions of marketing, which includes ordering costs and storage costs, so inventory optimization is needed. In this study, the author uses the Economic Order Quantity method to optimize shoes inventory. This study aims find to are out the point of reorder, order frequency, and comparison between company policy and Economic Order Quantity method. PT. Buccheri Indonesia stipulates the number of orders on each time order is 5,943 pairs of shoes, with the frequency of ordering 48 times/year, and the inventory’s total cost is Rp.406,843,938. While using the Economic Order Quantity method the number of orders on each time is 7,214 pairs of shoes, the frequency ordering 39 times/year, and the inventory’s total cost is Rp.396,776,965.06. So, the difference cost of company policies and by using the Economic Order Quantity method, is Rp.10,066,972.94,-
Model Matematika Kendali Optimal Intensitas Cahaya Dan Nutrisi Pada Pertumbuhan Mikroalga Dengan Menggunakan Metode Pontryagin Azim; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 1 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (687.429 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15173

Abstract

Microalgae are the most primitive plant-sized cellular organisms commonly known as phytoplankton. The habitat of its life is in waters or humid places. This organism is a primary producer of water that has any capability to photosynthesis like any other high-level plants. This study examines mathematically the optimal control of light intensity and liquid waste nutrition in microalgae growth. Growth liter is done by setting the intensity of light in the process of glucose formation and nutrition tofu liquid waste, tapioca, industry, and households as the additional nutrients of microalgae. The Pontryagin maximun principles is used to determine the optimal control solution. The solution is solved from the state and co-state equation that stationery evaluated using the indexed performance maks 𝐽[𝑢1 + 𝑢2 ] = ∫ 𝐺(𝑡) − 𝑡𝑓 𝑡0 𝑆(𝑡) − 1 2 𝑢1 (𝑡) 2 − 1 2 𝑢2 (𝑡) 2𝑑𝑡 with the stationer condition that gives the optimal control 𝑢1 ∗ = 𝛾2𝛼2𝑄𝐵 and 𝑢2 ∗ = −𝛾5𝜌1𝑆. The results shows that before the optimal control of light intensity and nutrition of liquid waste is applied, the concentration of microalgae biomass becomes 5.915 g / liter on the 20th day stayed at the 105th day. The lipid quota with an initial value of 0.6 g/liter will decrease to 0.2 g / liter at 4th day which is the equilibrium point. Optimal control of the regulation of light intensity of 2-9 klux and liquid waste nutrition provided a significant increase in the amount of microalgae biomass and lipid quota, with the regulation of light intensity of 2- 9 klux and tofu liquid waste nutrition which gave the largest increase in the amount of microalgae biomass and lipid quota
Kendali Optimal Model LCS Pada Populasi Tanaman Padi Sawah Dari Serangan Hama Tikus Sawah Dan WBC Menggunakan Prinsip Minimum Pontryagin Triwidodo, G; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15345

Abstract

ABSTRACT Rice field plants (Oryza sativa) is one of the main food crop that very essential for common poeple. On the other hand, rice become as the main commodity of the common poeple. According to Badan Pusat Statistik ( BPS ) data, the consumption of it in 2011 reached 139 kg of due to 237 million of Indonesian resident. The cultivation of rice field production obstacle is the pest attack. The able prime pest that caused the rice production damage is field mouse pest (Rattus argintiventer) and rice stem pest (Nilaparvata Lugens). Both types have a very high reproduction rate. This research studies mathematically the damage of rice field plants population control at vegetative phase. That designed to minimize the number of vegetative rice population phase. A logistic Competing Species model is built to describe the interaction between both the pest at the vegetative phase rice growth. The Pontryagin minimum principles is used to determine the optimal control solution. The solution is solved from the state and co-state equation that stationery evaluated using the indexed performance with optimal control and . The research result of indicate that the optimal control just optimalize the vegetative rice phase damage while the pest is not optimalized yet. Keyword : Stability, Jacoby Matrix, Eigen Value, Pontryagin Minimum, Oryza Sativa, Rattus Argintivente, Nilaparvata Lugens