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All Journal Maslahah : Jurnal Hukum Islam dan Perbankan Syariah MATEMATIKA Fakultas Pertanian
Widowati ., Widowati
Program Studi Agroteknologi
Religion Agriculture, Biological Sciences & Forestry Economics, Econometrics & Finance Education Law, Crime, Criminology & Criminal Justice Mathematics Other

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Journal : MATEMATIKA

 1 
NILAI EKSAK BILANGAN DOMINASI COMPLEMENTARY TREE TERHUBUNG-3 PADA GRAF CYCLE, GRAF LENGKAP DAN GRAF WHEEL Agustiarini, Efni; Ratnasari, Lucia; ., Widowati
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Given a graph G with a set of vertices V and the set of edges E. Let  be a subset of , if each vertex of  is adjacent to at least one vertex of , then  is called a dominating set in . The domination number of a graph  denoted as  is the minimum cardinality taken from all dominating sets of . Sometypes of dominating set has been developed based on domination perameter, such as connected dominating set, triple connected dominating set, complementary tree dominating set and triple connected complementary tree dominating set. A subset  with , a nontrivial connected graph is said to be triple connected complementary tree dominating set, if  dominating set,  is a triple connected graph and  is a tree. The triple connected complementary tree domination number of G is denoted as  In this paper we study about triple connected complementary tree domination number, especially on the cycle graph, complete graph and wheel graph. For any cycle graph and complete graph of order  have . For any wheel graph of order  have
ANALISA KESTABILAN MODEL MATEMATIKA UNTUK PENYEMBUHAN KANKER MENGGUNAKAN ONCOLYTIC VIROTHERAPY Novellina, Via; Utomo, Robertus Heri Soelistyo; ., Widowati
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Oncolytic virotherapy is one type of cancer treatment using oncolytic virus. In this paper, we will present a mathematical model for treatment of cancer using  oncolytic virotherapy with the burst size of a virus (the number of new viruses released from lysis of an infected cell) and we considering the presence of syncytia which is a fusion between infected tumor cell and uninfected tumor cell. In this mathematical model we introduced the population of uninfected tumor cells which fusion in syncytia. So, in this model contains four population, which are, uninfected tumor cell population, infected tumor cell population, uninfected tumor cell population which fusion in syncytia, and free virus particles which are outside cells. Then, these models are analyzed to determine the stability of the equilibrium points. The stability of the equilibrium points criteria is based on basic reproduction number () and we show that there exist a disease free equilibrium point and a disease endemic equilibrium point. By the Routh-Hurwitz criterion of stability, we prove that the disease free equilibrium point is locally asymptotically stable if  and the disease endemic equilibrium point is locally asymptotically stable if . In this numerical simulations using software Maple we have, if  then the graphic of this mathematical model will reach the disease free equilibrium point, then virotherapy fails. While, if  then the graphic of this mathematical model will reach the disease endemic equilibrium point, then virotherapy success.
PENYELESAIAN MODEL DISTRIBUSI SUHU BUMI DI SEKITAR SUMUR PANAS BUMI DENGAN METODE KOEFISIEN TAK TENTU Niswah, Lutfiyatun; ., Widowati; ., Djuwandi
MATEMATIKA Vol 17, No 2 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Mathematical model in this paper describes the formation temperature distribution related to the process of heat transfer in geothermal wellbore. The model of formation temperature is based on the single thermal conduction equation. The form of the model is ordinary differential equation. Further, we derived an analytical solution with the method of undetermined coeffisient. The simulation  is done to determine the model’s behavior based on the secondary data. Based  on the simulation result is found that if the increasing depth hence the temperature increases.
ANALISIS KESTABILAN MODEL DINAMIK ALIRAN FLUIDA DUA FASE PADA SUMUR PANAS BUMI Utomo, Robertus Heri Soelistyo; ., Widowati; Tjahjana, Redemtus Heru; Niswah, L
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this paper is discussed about the analysis of the stability of fluid flow dynamical model of two phases on the geothermal wells. The form of the model is non-linear differential equation. To analyze the local stability around the equilibrium point, first, the non linear models of is linearized around the equilibrium point using Taylor series. Further, from linearized model, we find a Jacobian matrix, where all of the real eigen values of the Jacobian matrix are zeros. So that the behviour of the dynamical system obtained around the equilibrium point is stable.  
MODEL PERTUMBUHAN LOGISTIK DENGAN KONTROL OPTIMAL PENYEBARAN DEMAM BERDARAH DENGUE ., Kartono; ., Widowati; Utomo, Robertus Heri Soelistyo; Tjahjana, Redemtus Heru
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Controlling of spread of dengue fever was sought by the government together with the people by, among others, campaigning “3M controlling” and eradicating of the vector population using insecticide and threating the infected people. The aim of this research is constructing the optimal control dynamic model by applying several strategies to control the spread of dengue fever. In this paper, the optimal control is constructed by using host logistic growth population model approach and then it is solved by using maximum Pontryagin principle. The results show that in the equilibrium condition, the effect of the control variable u1 (“3M campaigning” and eradicating of the mosquito by using insecticide) is strongly affected by the rate of the direct contact between host population and the infected and susceptible vector whereas the control variable u2 is strongly affected by the number of the infected host population
METODE DEKOMPOSISI DAN METODE BIG-MUNTUK MENYELESAIKAN PROGRAM LINIER VARIABEL FUZZY TRIANGULAR STUDI KASUS: HOME INDUSTRI BOROBUDUR FURNITURE, BOGOR, INDONESIA Puspitasari, Nanda; Irawanto, bambang; ., Widowati
MATEMATIKA Vol 19, No 1 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Fuzzy Variable Linear Programming (FVLP) with triangular fuzzy variable is part of not fully fuzzy linear programming with decision variables and the right side is a fuzzy number. Solving  FVLP with triangular fuzzy variables used Decomposition Methods and Big-M Methods by using Robust Ranking to obtain crisp values. DecompositionMethods of resolving cases maximization and minimization FVLP by dividing the problems into three parts CLP. Solving FVLP with Big-M Methods to directly solve the minimization case FVLP do without confirmation first. The optimal solution fuzzy, crisp optimal solution, optimal objective function fuzzy and crisp optimal objective function  generated from Decomposition Methods and Big-M Methods for minimizing case has same solution. Decomposition Methods has a longer process because it divides the problem into three parts CLP and Big-M Methods has a fewer processes but more complicated because the process without divide the problems into three parts
KINERJA SISTEM LUP TERTUTUP DENGAN PENGENDALI LINEAR QUADRATIC GAUSSIAN PADA SISTEM MASSA PEGAS ., Predesia; ., Widowati
MATEMATIKA Vol 16, No 1 (2013): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Linear Quadratic Gaussian (LQG) controller is one of the controllers used to stabilize a plant.  The plant is an object that is controlled.  The procedure to find this controller as follows; first, the plant is balanced so that controllability and observability Grammians is equal to square Hankel singular values diagonal matrix, then look for the controller gain and estimator gain that are solutions of Riccati equations.  Next, construct a state space realization of LQG controller.  To verify the performance of  the obtained controller, its was applied for the spring mass system.  Further, by using MATLAB program, the performance of the closed loop system with the LQG controller and the open loop system is compared.  The simulation results show that the closed loop system can be stabilized in less than 10 seconds, whereas the open loop system can be stabilized in 3000 seconds. This indicate that the performance of the closed loop system with LQG controller better than the open loop system
Co-Authors Bambang Irawanto Djuwandi ., Djuwandi Efni Agustiarini, Efni Kartono . L Niswah, L Lucia Ratnasari Lutfiyatun Niswah, Lutfiyatun Nanda Puspitasari, Nanda Predesia ., Predesia Redemtus Heru Tjahjana Robertus Heri Sulistyo Utomo Suprihatin . Sutoyo . Via Novellina, Via Yustina Rona, Yustina