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Analisa Kestabilan Bebas Penyakit Model SITRS pada Penyebaran Diare Widayati, Ratna; Hamim Muntoha, Renal; Ma'rifah, Umi; Yulianti, Nita
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 1 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i1.33908

Abstract

This study discusses the spread of diarrhea accompanied by complications resulting in death among sufferers. It is assumed that people with diarrhea can transmit the disease to susceptible individuals. Additionally, deaths occurred due to diarrhea when treatment was not administered. Individuals who have contracted diarrhea may acquire temporary immunity and then become susceptible again. The model used is SITRS. Based on the model, disease-free equilibrium points and endemic equilibrium points are obtained. The analysis was conducted around the disease-free equilibrium point, and it was concluded that the disease-free equilibrium point is locally asymptotically stable if R0<1. Furthermore, based on the simulation results, it is shown that the model's solution tends towards a disease-free equilibrium point if R0<1. . This implies that diarrhea will disappear from the population at some point if the infection level R0<1. is met.
Analisis Kestabilan Global dan Analisis Sensitivitas pada Model Matematika Penyebaran Penyakit Gondongan Widayati, Ratna; Rachmawati, Ramya; Afandi, Nur
Griya Journal of Mathematics Education and Application Vol. 5 No. 2 (2025): Juni 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i2.578

Abstract

Mumps is a contagious viral disease transmitted through respiratory droplets and close contact. It can cause symptoms like fever and salivary gland swelling. Despite the MMR vaccine, which offers partial protection, outbreaks persist, especially in college-aged individuals. Epidemiological models can aid in identifying effective prevention strategies for controlling mumps transmission. This paper proposes a mathematical model for mumps spread, considering quarantined individuals and complications. A global stability analysis of the mumps transmission model was performed, considering mortality and quarantine subpopulation. The Disease Free Equilibrium and Endemic Equilibrium Point are globally stable, confirmed by Lyapunov functions. Sensitivity analysis of the basic reproduction number shows that reducing birth rates and contact between infected and susceptible individuals effectively minimizes the infected population. However, increasing the natural death rate can reduce the total population, which may lower infections, but poses potential social and economic challenges for decision-makers.
Modifikasi Operator Weighted Backward Shift untuk Membentuk Operator Hypercyclic pada Ruang Barisan Nur Afandi; Damayanti, Septri; Widayati, Ratna
Griya Journal of Mathematics Education and Application Vol. 5 No. 2 (2025): Juni 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i2.648

Abstract

The linear operator T: X --> X is called an hypercyclic operator if there exist such that the orbit of under the operator T is dense in X. This study aims to construct an explicit hypercyclic operator on the sequence space \(\ell^p\), by modifying the backward shift operator using a non-constant weight sequence. This approach differs from Rolewicz's classical method, which used constant weights. The method applied is constructive and formal, relying on deductive reasoning in mathematical proofs. Two operators—weighted left and right shifts—are introduced and their properties are analyzed, including their composition and iterative behavior. The main result is the construction of a specific operator \(S_\bold{a}\) weighted by \(\bold{a}=(a_n)\) that is proven to be hypercyclic. The proof involves demonstrating the existence of a vector whose orbit under \(S_\bold{a}\) is dense in \(\ell^p\).
Gastroprotective Potential of Medicinal Plant From Central Kalimantan: Sungkai Leaves (Peronema canescens Jack)-Ultrasonic Assisted Extraction in Rats Induced with Absolute Ethanol Savitri, Dilasari; Trinovita, Elsa; Widayati, Ratna; Handayani, Septi; Nugrahini, Sintha
Pharmaceutical Sciences and Research Vol. 12, No. 1
Publisher : UI Scholars Hub

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Abstract

Peptic ulcer disease is a gastrointestinal disorder associated with significant morbidity and mortality. Enhancing the quality of life of patients with peptic ulcers often involves integrating conventional treatments with complementary alternative therapies. One such alternative therapy is herbal remedies, which local communities have long recognized. Sungkai leaves (Peronema canescens Jack) contain various bioactive components, including flavonoids, alkaloids, saponins, tannins, steroids, and phenolic compounds. This study aimed to assess the gastroprotective properties of sungkai leaf extract (Peronema canescens Jack) by analyzing the average size of gastric lesions in male Wistar rats exposed to absolute ethanol. The research used a true experimental design with a posttest-only control group approach involving six treatment groups, each consisting of four rats. Gastroprotective activity was macroscopically evaluated by measuring the average size of the gastric lesions. Statistical analyses were conducted using the Kruskal-Wallis and Mann-Whitney tests for post hoc comparisons. Results showed that the normal group had an average lesion size of 0 mm, the negative control group had 115.37±50.53 mm, and the positive control group had 7.40±2.57 mm. For the groups treated with sungkai leaf extract, the 100 mg/kgBW dose resulted in 6.86±3.83 mm lesions, the 200 mg/kgBW dose in 9.65±10.27 mm, and the 400 mg/kgBW dose in 29.50±19.68 mm. Statistical analysis using SPSS 26 revealed a significant difference between the groups,with a Kruskal-Wallis test result of p=0.002. These findings show that sungkai leaf extract exhibits gastroprotective activity compared with omeprazole, as seen by the smaller average size of gastric lesions in male Wistar rats treated with absolute ethanol.
DISTRIBUSI GEOGRAFIS Anopheles spp DI PALANGKA RAYA Augustina, Indria; Ratnasari, Arini; Karmila, Mila; Widayati, Ratna; Tarigan, Grandiano Escool; Sitohang, Ryan Ferdinand; Jabal, Arif
BIOMA : JURNAL BIOLOGI MAKASSAR Vol. 9 No. 2 (2024): Bioma : Juli - Desember 2024
Publisher : Department of Biology, Faculty of Mathematics and Natural Sciences, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Potensi vektor malaria di Palangka Raya perlu diperhatikan mengenai habitat alami Anopheles sp. Malaria masih menjadi masalah kesehatan yang serius di Indonesia. Kasus malaria pernah terlaporkan di Kota Palangka Raya tepatnya di Kecamatan Bukit Batu. Tujuan penelitian ini untuk menganalisis distribusi  geografis nyamuk Anopheles spp. di Kota Palangka Raya. Total Anopheles sp. yang ditemukan di Palangka Raya sebesar 141 dari  dua spesies nyamuk An. barbirotris, dan An. Vagus. Spesies Anopheles sp yang ditemukan di Kota Palangka Raya yaitu An. vagus dan An. barbirostris. yang hanya tersebar di Kelurahan Tangkiling dan Tumbang Rungan. Metode animal bait trap paling efektif menangkap nyamuk An. vagus dan An. barbirostris dibandingkan metode lain. Sebaran Anopheles di Kota Palangka Raya hanya cocok di dua lokasi tersebut. Kata kunci :  Distribusi, geografis, Anopheles
Potensi Antiglikasi Ekstrak Etanol Batang Bajakah Kalawait (Uncaria gambir (W. Hunter) Roxb.) dengan Reaksi Glikasi Secara In Vitro: Antiglycation Potensial of Ethanol Extract from the Stem of Bajakah Kalawait (Uncaria gambir (W. Hunter) Roxb.) Using In Vitro Glycation Reaction Method Berliani, Victoria; Frethernety, Agnes; Permatasari, Silvani; Alexandra, Francisca Diana; Widayati, Ratna
Jurnal Surya Medika (JSM) Vol. 10 No. 2 (2024): Jurnal Surya Medika (JSM)
Publisher : Institute for Research and Community Services Universitas Muhammadiyah Palangkaraya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33084/jsm.v10i2.6190

Abstract

Hiperglikemia kronis menyebabkan terjadinya peningkatan reaksi glikasi  glukosa dengan protein. Produk akhir glikasi yaitu AGEs (Advanced Glycation End Products) berperan dalam komplikasi diabetes. Hasil skrining fitokimia yang telah dilakukan sebelumnya menunjukkan bahwa batang Bajakah Kalalawit (Uncaria gambir (W.Hunter) Roxb.) mengandung flavonoid, terpenoid, tanin, alkaloid yang diduga berpotensi sebagai antiglikasi. Penelitian ini bertujuan untuk mengetahui potensi antiglikasi ekstrak etanol batang Bajakah Kalalawit (Uncaria gambir (W.Hunter) Roxb.). Metode: Jenis penelitian adalah true eksperimental. Model reaksi glikasi menggunakan BSA dan glukosa sebagai kelompok kontrol. Ekstrak etanol 96% batang Bajakah Kalalawit (Uncaria gambir (W.Hunter) Roxb.) dibuat menjadi larutan konsentrasi 100, 200, 400, 600, 800 dan 1000ppm dan ditambahkan ke model reaksi glikasi, selanjutnya diukur absorbansi menggunakan spektrofotometer, dan dihitung nilai potensi antiglikasi. Hasil rerata potensi antiglikasi ekstrak Bajakah Kalalawit berdasarkan ANOVA berbeda signifikan (p<0.05) untuk setiap kenaikan konsentrasi ,yaitu konsentrasi 100, 200, 400, 600, 800 dan 1000ppm memiliki potensi 42,131%, 47,541%, 57,541%, 67,377%, 70,328%, 80,656% dengan nilai IC50 253,043ppm. Kesimpulan: Ekstrak etanol batang Bajakah Kalalawit (Uncaria gambir (W.Hunter) Roxb.) memiliki potensi antiglikasi dengan konsentrasi efektif 100ppm.
Implementasi Algoritma Djikstra untuk Menentukan Rute Terpendek Distribusi Logistik Pemilu 2024 di Kecamatan Kesugihan Isnaeni, Nur; Ahmad, Mizan; Widayati, Ratna
Journal of Mathematics Education and Science Vol. 7 No. 2 (2024): Journal of Mathematics Education and Science
Publisher : Universitas Nahdlatul Ulama Sunan Giri Bojonegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32665/james.v7i2.1897

Abstract

Logistik pemilu adalah perlengkapan pemungutan suara dan dukungan perlengkapan lainnya yang digunakan untuk pelaksanaan pemungutan dan perhitungan suara diantaranya surat suara, kotak suara, berita acara, serta perlengkapan lainnya. Permasalahan yang dihadapiPPK (Panitia Pemilihan Kecamatan) Kecamatan Kesugihan dalam proses distribusi ogistik yaitu distribusi logistik yang tidak tepat waktu dan kondisi geografis yang sulit menjadi tantangan dalam mendistribusikan logistik pemilu. Oleh karena itu, untuk memperlancar proses distribusi ogistik perlu adanya perencanaan rute yang optimal untuk pendistribusian ogistik pemilu yang akan didistribusikan ke setiap Kantor Kepala Desa yang ada di Kecamatan Kesugihan menggunakan Algoritma Djikstra. Konsep dari Algoritma Djikstra yaitu mencari jarak terpendek dalam sebuah graf berarah dengan bobot sisi (edge) yang bernilai tak negatif. Pada pendistribusian logistik pemilu perlu adanya rute yang optimal. Penelitian ini bertujuan untuk menentukan rute terpendek pendistribusian logistik pemilu di Kecamatan Kesugihan menggunakan Algoritma Djikstra. Penentuan jarak masing-masing titik lokasinya memanfaatkan aplikasi google maps. Berdasarkan hasil penelitian ini, diperoleh rute terpendek pendistribusian logistik pemilu dari Kantor Kecamatan Kesugihan ke masing-masing Kantor Kepala Desa di Kecamatan Kesugihan.
Pengenalan Microsoft Excel untuk Meningkatkan Pemahaman Dasar pengolahan dan Analisis Data di SMK Negeri 4 Kota Bengkulu Widayati, Ratna; Rizal, Jose; Rachmawati, Ramya; Faisal, Fahri; Rafflesia, Ulfa; Dwi Kumala, Siska; Septa, Oon; Nooravieta Setiawan, Aisyah
Indonesian Journal of Community Empowerment and Service (ICOMES) Vol. 5 No. 2 (2025): December 2025
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/icomes.v5i2.45338

Abstract

Pengabdian kepada masyarakat merupakan salah satu pilar tridharma perguruan tinggi yang mengimplementasikan ilmu pengetahuan dan teknologi secara langsung untuk memberikan manfaat kepada masyarakat. Hal tersebut merupakan motivasi dilaksanakannya kegiatan pengabdian kepada masyarakat berupa pelatihan penggunaan Microsoft Excel bagi siswa SMK Negeri 4 Kota Bengkulu.  SMK Negeri 4 Kota Bengkulu dipilih sebagai lokasi kegiatan karena kebutuhan peningkatan literasi digital, khususnya dalam pemanfaatan Microsoft Excel untuk mendukung efektivitas pengolahan data dan administrasi sekolahPelatihan ini bertujuan untuk meningkatkan keterampilan pengolahan data siswa, tidak hanya difokuskan pada pemahaman perhitungan dasar, tetapi juga pengenalan antarmuka, penggunaan rumus dan fungsi dasar (SUM, AVERAGE, IF, dll.), pembuatan tabel dan grafik, serta teknik pengolahan data sederhana. Kegiatan dilaksanakan di laboratorium komputer sekolah dengan melibatkan siswa dan guru pendamping sebagai peserta aktif. Melalui tahapan persiapan yang matang, pelaksanaan yang interaktif, serta evaluasi berbasis pre-test dan post-test, pelatihan ini terbukti memberikan dampak positif terhadap kemampuan siswa. Hasil uji Wilcoxon Signed-Rank menunjukkan peningkatan signifikan dalam pemahaman dan keterampilan peserta setelah mengikuti pelatihan. Selain itu, keterlibatan mahasiswa sebagai fasilitator turut membantu dalam proses pembelajaran yang lebih efektif.
Edukasi Pemeriksaan Kadar Hemoglobin dan Penyediaan Tablet Tambah Darah sebagai Strategi Mencegah Anemia pada Remaja Susanti, Nurul Fatimah ; Listya, Endah Purdya; Riandini, Evelyne; Widayati, Ratna; Octaliana, Hasrita
Jurnal Pengabdian dan Peningkatan Mutu Masyarakat (Janayu) Vol. 7 No. 1 (2026): Jurnal Pengabdian dan Peningkatan Mutu Masyarakat (In Press)
Publisher : Universitas Muhammadiyah Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22219/janayu.v7i1.42121

Abstract

Purpose – This community service project aims to enhance awareness regarding adolescent anemia, assess the nutritional health and anemia levels, and distribute iron supplement tablets to help prevent anemia among targeted individuals at SMAN 9 Kota Bengkulu. Design/methodology/approach – The methods used in this community service include providing education about adolescent anemia. Nutritional status measurements were carried out using body mass index and hemoglobin measurements to determine the anemia status of students, and each student was given blood supplement tablets. This activity was carried out on July 24, 2025, at SMA N 9 Kota Bengkulu with a total of 38 students. Findings – The findings from the activity indicated a rise in awareness regarding anemia. Post-test results showed that 89.5% had good knowledge related to anemia. There are 55.3% of students who have a normal nutritional status, and 47.4% of students have anemia. This anemia rate is quite high. Originality/value – This community service activity is unique and carried out comprehensively because education about anemia is carried out, early detection is also carried out by checking hemoglobin levels, and blood supplement tablets are given as a preventive effort for anemia students.