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JURNAL ILMIAH MATEMATIKA DAN TERAPAN
Published by Universitas Tadulako
ISSN : 18298133     EISSN : 2450766X     DOI : -
Core Subject : Education,
Mathematics
Jurnal Ilmiah Matematika dan Terapan adalah Jurnal yang diterbitkan oleh Program Studi Matematika FMIPA Universitas Tadulako. Jurnal ini menerbitkan artikel hasil penelitian atau telaah pustaka bersifat original meliputi semua konsentrasi bidang ilmu matematika dan terapannya, seperti analisis, aljabar, kombinatorika, matematika diskrit, statistika, dan semua aspek terapannya.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 13 Documents
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Search results for , issue "Vol. 18 No. 1 (2021)" : 13 Documents clear
Dinamika Populasi Pada Ekosistem Mangrove Hajar; Puspita, J W; Nacong, N; Ridwan
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.i1.15534

Abstract

Budidaya mangrove merupakan salah satu upaya untuk meminimalisir kerusakan ekosistem laut dan lingkungan sekitarnya saat terjadi tsunami. Eksistensi ekosistem mangrove perlu dijaga dan dilestarikan secara berkelanjutan. Kepiting Uca memiliki peranan penting pada rantai makanan yang berlangsung dalam ekosistem mangrove. Penelitian ini bertujuan mengkaji interaksi antara populasi mangrove dan populasi kepiting Uca dalam ekosistem mangrove melalui pendekatan model matematika. Kami memperoleh empat titik kritis dari model yang telah dibangun. Tiga titik kritis dari model matematika eksis tanpa syarat, namun tidak stabil. Sedangkan titik kritis keempat yang menggambarkan kondisi koeksistensi populasi mangrove dan kepiting Uca dapat dijamin kestabilan lokalnya jika syarat kestabilannya terpenuhi. Hal ini mengindikasikan bahwa kehadiran populasi kepiting Uca dapat menjaga kelestarian ekosistem mangrove. Simulasi numerik diberikan untuk mendukung hasil analitik.
Penentuan Jalur Terpendek Pendistribusian Barang Jalur Nugraha Ekakurir (JNE) Menggunakan Algoritma Semut (Studi Kasus JNE Dewi Sartika Palu) Musdalipa; Sahari, A; Najar, A M
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.i1.15536

Abstract

Nowasday, it is often done traveling from one place or location to another by considering the path or the shortest route to be traveled. In determining the shortest route by implementing the ant algorithm to determine the shottest route. This case is a case of the traveling salesmen problem (TPS) namely visiting all location points starting from the starting point and ending at the starting point again. Case study in this research is delivery data of JNE courier palu. The sample used is 13 points which are then resolved using the ant algorithm adopts the ant work method to get the shortest route. The use of the ant algorithm in this case is limited to one cycle or one iteration (NC=1) so that the best route for the first cycle is obtained JNE Gudang utama dewi sartika palu( JNE jalan banteng No.8a biromaru palu selatan ( JNE basuki rahmat ( ), JNE jalan anoa No.107 pau selatan ( JNE diponegoro lere palu barat( JNE emysaelan No.20 palu selatan ( JNE sisingamangaraja palu ( JNE jalan kimaja palu barat ( ), JNE krajalemba No.7 sigi biromaru ( JNE jalan tombolotutu palu JNE samratulangi No.66 A palu ( ), JNE tondo kamus mantikulore ( JNE diponegoro lere palu barat ( anddcome back to JNE gudang utama dewi sartika palu ( ) with a distance of 56.4 km.
Analisis Kestabilan Model Seak Pada Penyebaran Penyakit Filariasis Wahyudin, A; Ratianingsih, R; Nacong, N
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.

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