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All Journal HAYATI Journal of Biosciences CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Matematika & Sains Journal of Mathematical and Fundamental Sciences Jurnal Daya Matematis Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Communication in Biomathematical Sciences Jurnal Sains Dirgantara
Nuning Nuraini
Department of Mathematics, Institut Teknologi Bandung
Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy Chemistry Earth & Planetary Sciences Education Mathematics Physics Social Sciences

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Model Matematika Pada Mekanisme Laju Korosi Logam Baja Karbon dengan Penambahan Inhibitor Nuning Nuraini; Novriana Sumarti; Deana Wahyuningrum
Jurnal Matematika & Sains Vol 17, No 1 (2012)
Publisher : Institut Teknologi Bandung

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Abstract

Korosi pada logam, yang disebabkan reaksi dengan lingkungannya, merupakan proses pelarutan logam membentuk senyawanya dalam lingkungan korosif seperti adanya air, gas oksigen dan karbondioksida.  Korosi tidak dapat dihilangkan, namun dapat dikendalikan atau dicegah. Salah satu cara untuk mengatasi korosi, terutama yang terjadi pada permukaan bagian dalam suatu pipa logam, adalah dengan penambahan suatu inhibitor korosi.  Dengan melihat proses terjadinya korosi dari sudut pandang berkurangnya logam persatuan waktu, diturunkanlah suatu model matematika yang memperlihatkan pengaruh senyawa inhibitor korosi terhadap logam, khususnya baja karbon dalam larutan NaCl 1%.  Model yang diperoleh, yang merupakan pengembangan dari model sebelumnya, menggambarkan penambahan senyawa inhibitor dengan 2 cara, yaitu pada saat awal saja dan cara penambahan secara kontinu. Hasil yang didapat menunjukkan beberapa nilai konsentrasi dari inhibitor memberikan pengaruh pada mekanisme laju korosi secara efisien untuk menghentikan proses korosi. Kata kunci: Baja karbon, Inhibitor korosi, Laju korosi, Model matematika.   Mathematical Model on Corrosion Rate Mechanism of Carbon Steel by Inhibitor Addition Abstract Corrosion is the deterioration of a material due to interaction with its environment. It is the dissolution process of metal in which metallic atoms are oxidized to form its compounds in the presence of water and gases, such as oxygen and carbon dioxide. Even though this corrosion cannot be eliminated, it can be controlled or prevented.  One way to control corrosion, especially corrosion that occurred at the inner parts of metallic pipelines, is by addition of corrosion inhibitor. If the corrosion process was assumed as the rate of decaying process of metal per times unit, then the mathematic model can be derived to describe the effect of addition of inhibitor towards corrosion rate of metal, especially carbon steel in 1% NaCl solution. The result show that several values of inhibitor concentration provide the efficient effect on the corrosion rate mechanism to stop the corrosion process. Keywords: Carbon steel, Corrosion inhibitor, Corrosion rate, Mathematical model.
Dynamical analysis of a predator-prey model arising from palm tree plantation Syukriyah, Yenie; Fakhruddin, Muhammad; Nuraini, Nuning; Kusdiantara, Rudy
Communication in Biomathematical Sciences Vol 2, No 2 (2019)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (919.846 KB) | DOI: 10.5614/cbms.2019.2.2.6

Abstract

Palm oil industry has become an issue that has caught the attention of the world community in recent years. From an economic point of view, this industry is very influential in developing and spurring economic growth in rural areas. In this paper, a predator-prey dynamical model representing the interaction between palm leaf, caterpillar and predator is discussed here. The caterpillar life-cycle starts from eggs, larvae, pupas and the adult moths, and only the larvae interact with the predator. With a given threshold level of the leaves for survival and productivity, the critical level of predators is shown. Further, the dynamical analysis is discussed analytically and numerically. Bifurcation diagrams and sensitivity analysis of each compartment were also obtained to see the effect of changing parameters on the dynamics. The results explain that the increase of larvae predators can reduce the number of larvae pests that eat palm oil leaves, but they need to be controlled to maintain the balance of the ecosystem.
A Dynamical Model of ’Invisible Wall’ in Mosquito Control Khumaeroh, Mia Siti; Soewono, Edy; Nuraini, Nuning
Communication in Biomathematical Sciences Vol 1, No 2 (2018)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (392.149 KB) | DOI: 10.5614/cbms.2018.1.2.2

Abstract

A concept of an ?invisible wall? is used here as a control mechanism to separate the human population from mosquitoes in the hope that mosquitoes gradually change their preference to other blood resources. Although mosquitoes carry inherent traits in host preference, in a situation in which regular blood resource is less available, and there are abundant other blood resources, mosquitoes may adapt to the existing new blood resource. Here we construct a model of mosquitoes preference alteration involving anthropophilic, opportunistic, and zoophilic, based on the application of repellent clothing usage and the effects of fumigation. The coexistence equilibrium is shown to be stable when the rate of mosquito ovulation, which is successfully hatching into larvae, is greater than the total of mosquito natural death rate and mosquito death rate due to fumigation. Numerical simulation is performed after the reduction of unobservable parameters is done with Human Blood Index (HBI) data. Global sensitivity analysis is then performed to determine the parameters that provide the dominant alteration effect on the mosquito population. The simulation results show that a proper selection of the fumigation rate and repellent clothing rate should be carefully done in order to reduce the mosquito population as well as to increase the zoophilic ratio.
Comparison of Dengue Transmission in Lowland and Highland Area: Case Study in Semarang and Malang, Indonesia Fauzi, Ilham Saiful; Fakhruddin, Muhammad; Nuraini, Nuning; Wijaya, Karunia Putra
Communication in Biomathematical Sciences Vol 2, No 1 (2019)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (545.281 KB) | DOI: 10.5614/cbms.2019.2.1.3

Abstract

Dengue is a potentially lethal mosquito-borne disease, regarded as the most dangerous disease in the world. It is also a major health issue in tropical and subtropical countries. Environmental characteristics and sociocultural are factors which play a role in the spread of dengue. Different landscape structure such as lowland and highland areas are possible to give different infection rate on dengue transmission. Semarang and Malang are densely populated areas in Java, which are selected to be our study areas. A mathematical model (SIR-UV) is adapted to describe dengue transmission. Spiral dynamic optimization is applied to convert monthly data to weekly in Malang and estimate the infection rate that minimized the deviation between dengue data and simulation. This method produces a good fitting to the data. We compare the pattern of dengue cases from the simulation in both cities. Furthermore, we identify seasonal variations of the cases via Fourier series of the infection rate. We also investigate the correlation between humidity, infection rate, and dengue cases in Semarang and Malang. It reveals that humidity influences infection rate in 1-3 weeks later and the infection rate produces dengue cases in the next four weeks.
MODELING SIMULATION OF COVID-19 IN INDONESIA BASED ON EARLY ENDEMIC DATA Nuraini, Nuning; Khairudin, Kamal; Apri, Mochamad
Communication in Biomathematical Sciences Vol 3, No 1 (2020)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2020.3.1.1

Abstract

The COVID-19 pandemic has recently caused so much anxiety and speculation around the world. This phenomenon was mainly driven by the drastic increase in the number of infected people with the COVID-19 virus worldwide. Here we propose a simple model to predict the endemic in Indonesia. The model is based on the Richard?s Curve that represents a modified logistic equation. Based on the similar trends of initial data between Indonesia and South Korea, we use parameter values that are obtained through parameter estimation of the model to the data in South Korea. Further, we use a strict assumption that the implemented strategy in Indonesia is as effective as in South Korea. The results show that endemic will end in April 2020 with the total number of cases more than 8000.
Analisa Kebijakan Physical Distancing pada Model Penyebaran COVID-19 Wirdatul Aini; Nuning Nuraini; Kamal Khairudin Sukandar
Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Vol 4 No 1 (2022): Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai Islami)
Publisher : Mathematics Department

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Abstract

Virus SARS-COV-2 yang menyebabkan penyakit COVID-19 telah menyebar ke seluruh dunia. Pada 2 Maret 2020, Indonesia telah mengonfirmasi kasus COVID-19 dan jumlah kasus meningkat dengan cepat dalam beberapa minggu. Pemahaman mengenai dinamika penularan penyakit dan langkah-langkahnya adalah hal penting untuk menangani virus ini. Artikel ini bertujuan untuk mensimulasikan penyebaran COVID-19 dan untuk menganalisa strategi kebijakan yang efektif di Indonesia. Model SEIQRD diusulkan dalam artikel ini dan penerapannya pada data yang tersedia. Selain itu, model ini juga dikembangkan dengan melibatkan faktor intervensi yang memiliki peran dalam penyebaran virus pada suatu wilayah. Strategi intervensi physical distancing ditujukan pada inidividu yang rentan sebagai variabel yang memungkinkannya untuk dikendalikan dengan berbagai kebijakan. Hasil penelitian menunjukkan bahwa adanya penerapan intervensi physical distancing dengan proporsi sebesar 75% memberikan pengaruh besar dalam mengurangi angka infeksi baru dibandingkan dengan penerapan intervensi physical distancing dengan proporsi 25% dan 50%.
Population Growth Models of Forest Trees for Conservation Management: Case of Teak (Tectona Grandis) Forest in Begal, East Java, Indonesia Novriana Sumarti; Mharta A. Wardana; Nuning Nuraini
HAYATI Journal of Biosciences Vol. 25 No. 4 (2018): October 2018
Publisher : Bogor Agricultural University, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (795.404 KB) | DOI: 10.4308/hjb.25.4.169

Abstract

Based on 2010 FAO report, teak forest and plantation in Indonesia covers 1,269 million hectares or 7 per mill of total area of Indonesia. It can be found dominantly in Central and East Java. PT Perhutani, Indonesia has responsible for management of the government owned forests in the islands of Java and Madura. Based on 2007 data, the teak wood production is 517,627 m3 and the highest percentage, which is 37% of total production, is coming from East Java. In this paper, we develop growth population models using Leslie Matrix and Markov Chain in order to predict the future condition based on the current condition. The models are implemented into data from Teak Forest in Begal, East Java, that covers 2,052.8 hectares and consists of 114 sites. The result from the first model using Leslie Matrix shows that it needs 16 years from year 2011 that the sustainable condition of the forest can be achieved. The result from the implementation of the second model using Markov Chain into the existing data shows that the condition of the teak forest can be classified as quite critical because the good condition part based on its density of the early age group (0 - 4 years) has potential to become the worst condition before its harvest time.
Dynamical Model for Transmission of West Nile Virus in Chicken-Mosquito Interaction Jafaruddin Hamid; Juni Wijayanti Puspita; Nuning Nuraini; Edy Soewono
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2014.46.3.7

Abstract

The West Nile virus (WNV) is transmitted through the bites of infected mosquitoes. The spread of WNV in chicken populations is quite unique. Although chickens can contract the virus through a mosquito bite, they immediately build immunity to the virus and do not show physical symptoms of illness and hence chickens are only temporary carriers of the virus. Recently, experimental results have shown that mosquitoes do not change fecundity behavior, yet results indicate that resistance to infection is associated with afitness cost in terms of mosquito survival. We constructed a host-vector type transmission model for WNV in mosquito-chicken populations. The basicreproductive ratio, Ro , was obtained. From sensitivity analysis of Ro it was shown that under certain conditions this ratio decrease "“ with an increase of the lifetime of mosquito infection.
Optimal Vaccination and Treatment Schedules in a Deterministic Avian influenza Model Nuning Nuraini; Tasmi Tasmi
Journal of Mathematical and Fundamental Sciences Vol. 48 No. 2 (2016)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2016.48.2.7

Abstract

In this study, a transmission model of the Avian influenza disease was developed and analyzedin view of optimization of vaccination and medical treatment. The model is a host-vector model. We focussed on control of Avian influenza, where a vaccination is given to susceptible poultry, while medical treatment is given to infected humans. In the model, the human population is divided into four compartments: susceptible humans, infected humans, recovered humans, and treated humans. Meanwhile, the poultry population is divided into three compartments: susceptible poultry, infected poultry, and vaccinated poultry. To analyze the dynamical behavior of the model, we obtained the disease-free equilibrium, the endemic equilibrium, and the basic reproduction ratio.Furthermore, a model of the optimal vaccination and medical treatment schedule was constructed to know the optimal strategy for controlling Avian influenza. The model can be used to determine the minimal cost of controlling the disease. The model is solved by a genetic algorithm method. Numerical simulations showed that effective control of Avian influenza can be achieved with a combination of vaccination and medical treatment. Likewise, the optimal schedule and strategy for controlling Avian influenza are shown.
Modelling Multiple Dosing with Drug Holiday in Antiretroviral Treatment on HIV-1 Infection Sutimin Sutimin; Nuning Nuraini; Faraimunashe Chirove; Lisyani Budipradigda Suromo
Journal of Mathematical and Fundamental Sciences Vol. 49 No. 1 (2017)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2017.49.1.1

Abstract

A within-host mathematical model to describe the dynamics of target cells and viral load in early HIV-1 infection was developed, which incorporates a combination of RTI and PI treatments by using a pharmacokinetics model. The local stability of uninfected steady state for the model was determined using an alternative threshold. The pharmacokinetics model was employed to estimate drug efficacy in multiple drug dosing. The effect of periodic drug efficacy of pharmacokinetic type on outcome of HIV-1 infection was explored under various treatment interruptions. The effectiveness of treatment interruption was determined according to the time period of the drug holidays. The results showed that long drug holidays lead to therapy failure. Under interruption of treatments combining RTI and PI therapy, effectiveness of the treatment requires a short duration of the drug holiday. 
Co-Authors Anita Triska Apri, Mochamad Apri, Mochamad Deana Wahyuningrum Edy Soewono Edy Soewono Edy Soewono Fakhruddin, Muhammad Faraimunashe Chirove Farida Fauzi, Ilham Saiful Glenn Lahodny Jr. Hakim L. Malasan Heni Widayani Hilda Fahlena I Gusti Bagus Wiksuana indah nursuprianah, indah Jafaruddin Hamid Juni Wijayanti Puspita Kamal Khairudin Kamal Khairudin Sukandar Karunia Putra Wijaya Khairudin, Kamal Kusdiantara, Rudy Lisyani Budipradigda Suromo Mharta A. Wardana Mia Siti Khumaeroh Mochamad Apri Mona Zevika Muhammad Fakhruddin Muhammad Fakhruddin Muhammad Fakhruddin Nadia Novriana Sumarti Novriana Sumarti Nursanti Anggriani Retno Wahyu Dewanti Rizqina, Sila Rudy Kusdiantara Saputro, Suhadi Wido Seprianus Shaumi, Nurina Fadlila Sudirman Sukandar, Kamal Khairudin sutimin sutimin Syukriyah, Yenie Tasmi Tasmi Tay, Chai Jian Tjandra Anggraeni Tri W. Hadi Ulfa, Rezky Maya Vania Mene Risriani Widianto, Wisnu Prasojo Widya Oktaviana Wijaya, Karunia Putra Wirdatul Aini Yenie Syukriyah Yudi Rosandi Zikri, Afdol