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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
ISSN : -     EISSN : -     DOI : -
Core Subject : Education,
Mathematics
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Articles 8 Documents
 1 
Search results for , issue "Vol 14, No 1 (2011): JURNAL MATEMATIKA" : 8 Documents clear
ANALISIS BIFURKASI MODEL PERTUMBUHAN TUMOR DENGAN PERSAMAAN LOGISTIK WAKTU TUNDA Dewi, Febriana; sutimin, sutimin
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper is being studied about the logistic tumor growth model with time delay. The mathematical model is in non-linear differential equation with time delay difficult to find the solution analytically, so here we analyze the behavior of the model through perturbation. The tumor growth model has two equilibriums (i.e.at and ). Because this growth model is non-linear hence to analyze the stability of each equilibrium point is done through the linearization method. By using a perturbation procedure, the equilibrium point is unstable and is stable. The equilibrium is stable for , unstable for  and Hopf bifurcation occurs at .
PRIME IDEAL ON SEMIRINGS D_nxn (Z^+) Setyawati, Dian Winda
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Let R be a semirings. A subset I of R is called an ideal of R if and then and I is called prime ideal if  for  then or  On semirings ,  a non zero ideal I is prime if and only if  , for p is prime or I = <2,3>. A paper will show form of prime ideal of semirings
PEMBENTUKAN ANTI-AUTOMORFISMA PADA GELANGGANG OPERATOR DIFERENSIAL Amir, Amir Kamal
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. Let  R be any ring with identity 1,  be an endomorphism of  R and  be a left -derivation. The skew polynomial  ring over R in an indeterminate x, denoted by  , is the set of    polynomials  where  with  multiplication rule  for all  For    the skew polynomial ring is written as  and is called differential operator ring. In this paper will be constructed  anti-automorphism on this ring, i.e., .  
SISTEM INFORMASI GEOGRAFIS PENCARIAN RUTE OPTIMUM OBYEK WISATA KOTA YOGYAKARTA DENGAN ALGORITMA FLOYD-WARSHALL Saputra, Ragil
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The Information system based on spatial or Geographic Information System (GIS) is growing faster. GIS can be used to solve many problems, one of the solutions that GIS could address is for look optimum route base on start location and destination. By using GIS, user can get visual information. This research is implementing Floyd-Warshall algoritm for optimize route in Yogyakarta. Floyd-Warshall algoritm is part of dynamic programming which used for seek shorthes paths for every node/ verteks. The result of GIS application, it can beimplemented to determine the shortest path. The optimum shortes path information can help us to go to our destination faster.
AUTOMORFISMA GRAF WARNA CAYLEY YANG DIBANGUN OLEH SUATU GRUPOID Kristina Ningrum, Bety Dian; Bambang, Irawanto
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Groupoid  adalah suatu himpunan tak kosong yang tertutup terhadap operasi biner, himpunan generator  grupoid merupakan subset dari grupoid dimana setiap elemen grupoid dapat ditulis sebagai hasilkali berhingga pada elemen generator.Graph warna Cayley  digraph dengan titik-titiknya adalah  dan himpunan busurnya . Generator grupoid befungsi sebagai warna dan arah busur digraph.Pemetaan  adalah pemetaan bijektif antara graph     dengan dirinya sendiri.. Automorphism parsial pada graph warna Cayley  adalah pemetaan bijektif antara dua tail graph warna Cayley .  Himpunan Automorphisma Parsial graph warna  Cayley adalah    
KONTROL OPTIMAL PREY DAN PREDATOR MODEL RANTAI MAKANAN ROSENZWEIG-MACARTHUR TIGA SPESIES Cahyono, budi
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The development of knowledge study about ecosistem grows fast in this last decade, one of the study is a model of food chain that include prey-predator. Rosenzweig-MacArthur’s food chain model  is one of the model that develop in the study about  prey and predator’s correlation  which at first include two species only. To approach the real situation, Rosenzweig-MacArthur added one new variable (super-predator) on super-predator model so that it became three species food chain model. Population density  function of prey-predator in the food chain model was influenced by time function and control profile to search optimal control function from model can be gained through the information that construct Rosenzweig-MagArthur food chain model. By optimal control principal, prey population and super-predator will be controlled through the prey carrying capacity (k) and death rate (mortality) of super-predator (d3) to minimize variation agreed for the model of Rosenzweig-MacArthur three species. It was expected that from optimal control function which has been obtained, the three species will not extinct
BARISAN SIMBOL DAN UKURAN INVARIAN FUNGSI MONOTON SEPOTONG-SEPOTONG KONTINU Kristina Ningrum, Rinurwati
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. Let  is piecewise continuous monotone function. In this paper we going to construct g-invariant measure from piecewise continuous monotone function g using minus symbol sequences and plus symbol sequences. This space is generalization from invariant measure piecewise linear transformation
BEBERAPA SIFAT SMALL RIEMANN SUMS FUNGSI TERINTEGRAL HENSTOCK-KURZWEIL DARI RUANG EUCLIDn KE RUANG BANACH X Khabibah, Siti; Darmawijaya, Soeparna
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we discussed some properties of Henstock-Kurzweil integrable functions from the Euclidean Spaces Âninto Banach space , Locally Small Riemann Sums dan Globally Small Riemann Sums.  

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