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All Journal Natural Science: Journal of Science and Technology Jurnal Vektor Penyakit JURNAL ILMIAH MATEMATIKA DAN TERAPAN Communication in Biomathematical Sciences Transcendent Journal of Mathematics and Applications
Rina Ratianingsih
Department Of Mathematics, Faculty Of Mathematics And Natural Sciences , Tadulako University, Palu, Indonesia
Computer Science & IT Economics, Econometrics & Finance Environmental Science Health Professions Immunology & microbiology Mathematics Physics Public Health Social Sciences Veterinary

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Kendali Optimal Model LCS Pada Populasi Tanaman Padi Sawah Dari Serangan Hama Tikus Sawah Dan WBC Menggunakan Prinsip Minimum Pontryagin G Triwidodo; R Ratianingsih; N Nacong
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
Analisis Kestabilan Model Penyebaran Penyakit Tungro Pada Tanaman Padi Melalui Vektor Wereng Hijau (Nephotetix Virescens) A Landita; R Ratianingsih; N Nacong
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.i2.15346

Abstract

ABSTRACT Tungro is a disease of rice plant (Oryza sativa) caused by tungro rice plant virus called Rice Tungro Baciliform Virus (RTBV) and Rice Tungro Spherical Virus (RTSV). Those viruses are transmitted by green planthopper vector (Nephotettix virescens). Rice tungro virus, that attack at vegetative phase, could make the rice plant tiny. This research governs a tungro transmission model that consider the rate of growth, natural mortality and virus infection as parameters. The interaction between green planthopper vector and spider as the predator of it is also considered. The other one is the probability of successes contacts between the green planthopper vectors with the susceptible rice population and tungro infected rice. The model, that modified from Susceptible-Infected model, has two critical endemic points of, and The stability of both points are analyzed using linearity and Routh hurwitz criteria. To reach their stability, the first critical point requires the values of natural death of green planthopper vector that must bigger than natural death of rice plant and the second critical point requires the natural growth rate of the spider predator must smaller than its natural death. Keywords : Analysis of Stability, Routh-Hurwitz Criteria, Tungro
Analisis Kestabilan Model Seak Pada Penyebaran Penyakit Filariasis A Wahyudin; R Ratianingsih; N Nacong
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2021.v18.i1.15537

Abstract

Filariasis or elephantiasis is a disease caused by infection of filarial worms. This research studies the spread model of elephantiasis disease that is influenced by the birth rate, the natural mortality rate, the transfer rate of susceptible exposed mosquito to the exposure due to the interaction between susceptible mosquito and infected human population, the transfer rate of exposed mosquito to the infected, the transfer rate of vulnerable human to the exposure human populations as a result of the mosquito and susceptible human intraction, the transfer rate of exposed human population to the infected human population, and the transfer rate of the infected human population to chronically human population. Filariasis disease spread model is built in form of Susceptible - Exposed - Acute - Kronic (Seak). The model is a nonlinear differential equations system of dependent variables that are the vulnerable, exposed, infected human populations, and chronic and vulnerable exposed, and infected mosquito population. The model has a critical point namely that represents the free-disease conditions and the critical point that represents an endemic condition. The critical points is analyzed using the method of linearized stability and Routh Hurwitz criteria. is the vertical point stable while is unstable. The result indicates that the free- disease condition is settled, while the endemic will be left in a long time period. It could also be interpreted that the endemic have a chance be overcome.
Membangun Model Matematika Penyebaran Penyakit Difteri Oleh Corynebacterium Diphtheriae Pada Populasi Manusia: Membangun Model Matematika Penyebaran Penyakit Difteri Oleh Corynebacterium Diphtheriae Pada Populasi Manusia M Sato; R Ratianingsih; Hajar
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 2 (2021)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2021.v18.i2.15705

Abstract

Penyakit difteri pada manusia disebabkan oleh Corynecbacterium diphtheriae. Difteri menular melalui kontak langsung dan tidak langsung, menyerang semua kelompok usia, dan menyebabkan komplikasi bahkan kematian pada manusia. Penelitian ini bertujuan untuk membangun model matematika penyebaran penyakit difteri pada populasi manusia dengan menggunakan model SEIR (Susceptible-Exposed-Infected-Recovered) berdasarkan kondisi Corynebacterium diphtheriae. Model tersebut melibatkan subpopulasi manusia yang rentan terhadap penyakit (????), subpopulasi manusia pada masa inkubasi (????), subpopulasi manusia yang terinfeksi (????), subpopulasi manusia yang telah sembuh dari penyakit (????), subpopulasi manusia yang dikarantina (????), subpopulasi bakteri sehat (????), populasi virus yang menginfeksi bakteri (????), dan subpopulasi bakteri mampu menghasilkan toksin (????). Model matematika ini dianalisis kestabilannya dengan menggunakan metode linearisasi dan kriteria Routh-Hurwitz. Hasil penelitian menunjukkan bahwa titik kritis menggambarkan kondisi endemik yang stabil tanpa syarat. Hal inimenunjukkan bahwa penyakit difteri akan tetap ada dalam populasi manusia.
Analisis Kestabilan Model Matematika Penyebaran Perilaku Merokok dengan Faktor Resiko Penyakit Kanker Paru-Paru N Kamisi; R Ratianingsih
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 19 No. 1 (2022)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2022.v19.i1.15710

Abstract

Rokok mengandung ribuan senyawa kimia dan ratusan macam zat beracun yang dapat memicu timbulnya berbagai penyakit berbahaya seperti kanker paru-paru, serangan jantung dan lain-lain. Penelitian ini mengkaji penyebaran perilaku merokok dengan faktor resiko penyakit kanker paru-paru. Model matematika yang dibentuk dari populasi manusia yaitu manusia yang rentan menjadi perokok , manusia yang dalam tahap coba-coba merokok , manusia perokok aktif , manusia yang sembuh dari konsusmsi rokok , perokok pasif ( ), terkena kanker paru-paru . Model memiliki dua titik kritis yang menggambarkan kondisi bebas penyakit dan kondisi endemik penyakit . Kestabilan model matematika yang mempresentasikan masalah tersebut kemudian dianalisa di titik-titik kritis model dengan menggunakan metode linearisasi dan Routh Hurwitz. Hasil penelitian memperlihatkan bahwa titik kritis bebas penyakit stabil dengan syarat, yaitu bahwa ada batas nilai maksimal pengaruh perilaku merokok terhadap bukan perokok yang harus terpenuhi, sedangkan titik kritis endemik stabil tanpa syarat.
Identification of Maleo (Macrocephalon Maleo) and Gosong Kaki Merah (Megapodius Reindwardt) DNA Similarity Level Using Needleman-Wunsch Algorithm Rusmi Rusmi; Rina Ratianingsih; Abdul Mahatir Najar
Transcendent Journal of Mathematics and Applications Vol 2, No 2 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v2i2.34313

Abstract

Sequence Alignment is used to find out the similarity of the sequence of two DNA. One of the alignment algorithms is the Needleman-Wunsch algorithm which is a global alignment algorithm that uses the entire length of the DNA sequence. In this research, the algorithm is applied to a website-based application system to determine the level of similarity of the DNA sequence of Maleo (Macrocephalon Maleo) which is an endemic animal to Sulawesi, with a comparison of Gosong Kaki Merah (Megapodius Reinwardt) which has a wide global distribution. The results of the alignment of Maleo (Macrocephalon Maleo) and Kaki Merah (Megapodius Reinwardt) DNA sequences on a website-based application system have an average similarity level of 83.39% and an average gap value of 8.42%.
Co-Authors A I Jaya A Landita A P Aditya A Sahari A Sehani A Wahyudin Abdul Mahatir Najar Agus Indra Jaya Agusman Sahari Azim B Kurniawan Chijra Desy Lusiyanti Drs. I Wayan Darsana,M.Ed . Endang Susilawati Erni Asran G A Pratiwi G Triwidodo Govan Govan Gusni Gusni Hajar Hajar Hajar Hardiyanti Hartini Hartini Hasbi Hasbi Hasnawati Hasnawati Hayani Anastasia I Febrianti I Karini I N Peole I Wati Ica Murwanti Indra Wati Ismawati, Nurul J Khairiah J R Mustakim J W Puspita J. W. Puspitaa Juni Wijayanti Puspita M A Tadjuka M Abu M Dafri M Fauji M Mutmainnah M S Ismail M Sato M T Ahmad Marwan Marwan Megawati N Aliyanti N Islami N Kamisi N Muliyani N Nacong N Nacong Ni Luh Sri Wahyuni Nildawati Nildawati Nuranisa Nuranisa Nurannisa Nurhidayah Nurhidayah Nurul Ismawati R A Yahya R Fadilah R R Maasawet R Setiawaty Ratih Febrianti Ririn Nirmalasari Rista Puragombo Rivaldi Rivaldi Rosida Rosida Rusmi Rusmi samarang samarang Siti Husnah Sudirman Sudirman Suwito S Nyamun Syafira Prahasti T Gusmawan windy rusma astuti Yulinda Yulinda