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Aisjah Juliani Noor
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Decision Sciences, Operations Research & Management Transportation

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GRUP RING Aisjah Juliani Noor; Naimah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 4, No 1 (2010): JURNAL EPSILON VOLUME 4 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (176.723 KB) | DOI: 10.20527/epsilon.v4i1.46

Abstract

The RG ring group is the set formed from group G below multiplication operations of finite elements and commutative rings. R with elements unit. If defined the operation of addition and operation of doubling in RG respectively                      i I i i i i I i i i I i a g a g (a b) g and                           i I i g g g j k i I i i i I i i g a b g a b g j k i () for each a g b g RG i I i i i I i i      , then RG is a ring. Based on the definition of RG formed from two structures that have certain properties, then the properties of RG depend on R and G forming them, namely: a. Every element in R is commutative with each element in RG and in unit elements R is a unit element in RG b. Every element in G has a doubling inverse in RG c. RG is commutative if and only if G is commutative d. If S subring of R and H subgroups of G, then SG and RH are subring-subring from RG.
KESTABILAN SISTEM PREDATOR-PREY LESLIE Dewi Purnamasari; Faisal Faisal; Aisjah Juliani Noor
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 3, No 2 (2009): JURNAL EPSILON VOLUME 3 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (227.36 KB) | DOI: 10.20527/epsilon.v3i2.43

Abstract

Mathematical models are commonly used to describe physical and nonphysicalphenomena which appeared in the real world. Generally speaking, theapplication of mathematical models is usually formed into a differential equationsystem. For example, Predator-Prey Leslie system is one mathematical model ofnon-linier differential equation system which has been introduced by Leslie(1948). This system describes an interaction model between two populationswhich contain two equations as follows :ax bx cyxdtdx  dy 2 where a, b, c, e and f are positive constants.In the Predator-Prey Leslie system, the relationship between each variablein the interaction process between prey and preadtor is dependend and influencedby changing value of system. Therefore, this will effect to the stability system.The method of this research is a study of literature from relevant booksand journals. To obtain a stability system, the stability poits of a system have to befound firest, then continue with linierization. From this, it will obtainedcharacteristic roots or eigen values. These values will show a stable state atsystem equilibrium points.As a result, it is found that Predator-Prey Leslie system, in this case,reaches a stability at equilibrium point K2, but not the case at K1.
Co-Authors Dewi Purnamasari Faisal Faisal Na'imah Hijriati