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All Journal Jurnal Mahasiswa Matematika Research Journal of Life Science Natural B Jurnal Teknologi dan Rekayasa Sumber Daya Air
Marsudi, Marsudi
Brawijaya University
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Earth & Planetary Sciences Engineering Environmental Science Mathematics Medicine & Pharmacology

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MODEL MATEMATIKA EOQ DENGAN MENGGUNAKAN EQUIVALENT HOLDING AND SHORTAGE COST (EHSC) Zuhriah, Aminatu; Marsudi, Marsudi
Jurnal Mahasiswa Matematika Vol 1, No 4 (2013)
Publisher : Jurnal Mahasiswa Matematika

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MODEL EOQ (ECONOMIC ORDER QUANTITY) PADA PERMINTAAN LINEAR, KERUSAKAN PRODUK, DAN IJIN PENUNDAAN DALAM PEMBAYARAN Wahyu T.M., Mega; Marsudi, Marsudi; Purwanto, Imam Nurhadi
Jurnal Mahasiswa Matematika Vol 1, No 4 (2013)
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PEMBUATAN PROGRAM APLIKASI SIMPLEKS DENGAN DELPHI UNTUK MENENTUKAN PEMENUHAN NUTRISI KOMPOSISI PAKAN TERNAK Rosyida, Indah Cahyani; Marsudi, Marsudi; Abusini, Sobri
Jurnal Mahasiswa Matematika Vol 1, No 5 (2013)
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IMPROVED VOGEL APPROXIMATION METHOD (IVAM) PADA FUZZY INTEGER TRANSPORTATION PROBLEM Dikerianto, Goesta; Marsudi, Marsudi; Andawaningtyas, Kwardiniya
Jurnal Mahasiswa Matematika Vol 2, No 1 (2014)
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MODEL EOQ (Economic Order Quantity) DENGAN BACKORDER UNTUK BARANG YANG MENYUSUT R., Rinang Dwi; Marsudi, Marsudi
Jurnal Mahasiswa Matematika Vol 2, No 1 (2014)
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BALANCED INCOMPLETE BLOCK DESIGN (BIBD) DAN SYMMETRIC BALANCED INCOMPLETE BLOCK DESIGN (SBIBD) Rasikhun, Hady; Marsudi, Marsudi; Handamari, Endang Wahyu
Jurnal Mahasiswa Matematika Vol 2, No 1 (2014)
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OPTIMASI TOTAL AVERAGE COST MODEL ECONOMIC ORDER QUANTITY FOR DETERIORATING ITEM DENGAN TINGKAT PARTIAL BACKLOGGING Ganiswara H., Andrias; Marsudi, Marsudi; Widodo, Agus
Jurnal Mahasiswa Matematika Vol 2, No 3 (2014)
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OPTIMASI MODEL SUPPLY CHAIN TIGA ESELON PADA PROSES DISTRIBUSI MAKANAN SEGAR Putri, Anggita Oktaviana; Marsudi, Marsudi
Jurnal Mahasiswa Matematika Vol 2, No 4 (2014)
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HIV/AIDS Dynamics Epidemic Analysis Through Age Group and Internal Competition Influence Marsudi Marsudi; Kwardiniya Andawaningtyas
Natural B, Journal of Health and Environmental Sciences Vol 1, No 1 (2011)
Publisher : Natural B, Journal of Health and Environmental Sciences

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (60.347 KB) | DOI: 10.21776/ub.natural-b.2011.001.01.9

Abstract

Transmission of HIV/AIDS in Indonesia has potential rounding into very hard. How situation of HIV/AIDS epidemics in Indonesia in future still is unclear. This research aims to analyze of HIV/AIDS epidemics dynamics with influence of age group and internal competition through the simple mathematics model. The SI compartment model is obtained by translating mechanism spreading of disease to be presented in the form of system of nonlinear differential equations. The model parameters obtained by estimation use data of HIV/AIDS in Indonesia from relevant literatures. The local and global stability for the equilibrium point is described use analysis of eigenvalues of Jacobian matrix and Lyapunov-LaSalle’s invariant principle. For the case of data of HIV/AIDS in Indonesia 2007, threshold values of infected reproduced ratio, R0= 0.000035 susceptible reproduced ratio, R1= 100.60235 and infection contact rate, R2=3.50192 The HIV/AIDS dynamics model with two age groups and internal competition has a unique disease-free equilibrium point. The disease-free equilibrium point E0*= (34258263.6455834, 0, 0) is locally asymptotically stable and global unstable.
Effect of Birth Rate Simulation and Vaccination on Dynamics Measles Epidemic Patterns Kwardiniya Andawaningtyas; Marsudi Marsudi
Natural B, Journal of Health and Environmental Sciences Vol 1, No 1 (2011)
Publisher : Natural B, Journal of Health and Environmental Sciences

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (75.689 KB) | DOI: 10.21776/ub.natural-b.2011.001.01.12

Abstract

The purpose of this research is to get description about influence of birth rates to the epidemic dynamics pattern of measles is presented as system of nonlinear differential equations. In this case, the epidemic dynamics of measles is of the form of the SEIR model with births which is obtained from four compartments: susceptible, exposed, infectious, and recovered. Then we analyze parameter model (α) to know the influence of change of birth rates to the epidemic dynamics pattern of measles. The changes of birth rates do not alter common pattern of epidemic measles, but the number of epidemic cycle, epidemic process, oscillation process, epidemic size, and time of epidemic convergent changes significantly. If the birth rate increases so does the epidemic cycle, but the epidemic process decreases, the oscillation is faster, and epidemic size converges to higher level value. If the birth rate decreases, the number of epidemic cycle decreases, epidemic process and oscillation take a longer, the epidemic size decreases with higher variance and converges to lower value.
Co-Authors AGUS WIDODO Ahmad Yusuf Hidayatulloh Ahzar Fakhrulloh Budiati, Lina Denny Ahmad Fauzi Dikerianto, Goesta Endang Wahyu Handamari Evi Nur Cahya Firdaus, Muhammad Rizki Ganiswara H., Andrias Hady Rasikhun Hidayat, Noor Imam Nurhadi Purwanto Kurniawati, Anisa Fitria Kwardiniya Andawaningtyas Lestari, Retno Putri Mahmudah, Mahmudah Mubarok, Ahmad Husni Pratiwi, R. C. Putri, Anggita Oktaviana R., Rinang Dwi Ratno Bagus Edy Wibowo Rosyida, Indah Cahyani Rosyidah, Lailiyatul Sobri Abusini Tamrin, Ahmad Husni Tunjungsari, Meirdania Fitri Wahyu T.M., Mega Zuhriah, Aminatu