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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
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Journal of the Korea Society for Industrial and Applied Mathematics
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The Korean Society for Industrial and Applied Mathematics
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Volume & Issues
Volume 17, Issue 4 - Dec 2013
Volume 17, Issue 3 - Sep 2013
Volume 17, Issue 2 - Jun 2013
Volume 17, Issue 1 - Mar 2013
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PATCHWISE REPRODUCING POLYNOMIAL PARTICLE METHOD FOR THICK PLATES: BENDING, FREE VIBRATION, AND BUCKLING
Kim, Hyunju ; Jang, Bongsoo ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 17, issue 2, 2013, Pages 67~85
DOI : 10.12941/jksiam.2013.17.067
Reproducing Polynomial Particle Method (RPPM) is one of meshless methods that use meshes minimally or do not use meshes at all. In this paper, the RPPM is employed for free vibration analysis of shear-deformable plates of the first order shear deformation model (FSDT), called Reissner-Mindlin plate. For numerical implementation, we use flat-top partition of unity functions, introduced by Oh et al, and patchwise RPPM in which approximation functions have high order polynomial reproducing property and the Kronecker delta property. Also, we demonstrate that our method is highly effective than other existing results for various aspect ratios and boundary conditions.
TOPOLOGICAL ANALYSIS OF MU-TRANSPOSITION
Kim, Soojeong ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 17, issue 2, 2013, Pages 87~102
DOI : 10.12941/jksiam.2013.17.087
An n-string tangle is a three dimensional ball with n-strings which are properly embedded in the ball. In early 90's, C. Ernst and D. Sumners first used a tangle to describe a DNA-protein complex. In this model, DNA is represented by a string and protein is represented by a ball. Mu is a protein which binds to DNA at three sites and a DNA-Mu complex is called Mu-transpososome. Knowing the DNA topology within Mu-transpososome is very important to understand DNA transposition by Mu protein. In 2002, Pathania et al. determined that the DNA configuration within the Mu transpososome is three branched and five noded . In 2007, Darcy et al. analyzed this by using mathematical tangle and concluded that the three branched and five noded DNA configuration is the only biologically reasonable solution . In this paper, based on the result of Pathania et al. and Darcy et al., the author determines the DNA topology within the DNA-Mu complex after the whole Mu transposition process. Furthermore, a new experiment is designed which can support the Pathania et al.'s result. The result of this new experiment is predicted through mathematical knot thory.
QUEUEING ANALYSIS FOR TRAFFIC CONTROL WITH COMBINED CONTROL OF DYNAMIC MMPP ARRIVALS AND TOKEN RATES
Choi, Doo Il ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 17, issue 2, 2013, Pages 103~113
DOI : 10.12941/jksiam.2013.17.103
We analyze the queueing model for leaky bucket (LB) scheme with dynamic arrivals and token rates. In other words, in our LB scheme the arrivals and token rates are changed according to the buffer occupancy. In telecommunication networks, the LB scheme has been used as a policing function to prevent congestion. By considering bursty and correlated properties of input traffic, the arrivals are assumed to follow a Markov-modulated Poisson process (MMPP). We derive the distribution of system state, and obtain the loss probability and the mean waiting time. The analysis is done by using the embedded Markov chain and supplementary variable method. We also present some numerical examples to show the effect of our proposed model.
THE EFFECT OF INFLATION RISK AND SUBSISTENCE CONSTRAINTS ON PORTFOLIO CHOICE
Lim, Byung Hwa ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 17, issue 2, 2013, Pages 115~128
DOI : 10.12941/jksiam.2013.17.115
The optimal portfolio selection problem under inflation risk and subsistence constraints is considered. There are index bonds to invest in financial market and it helps to hedge the inflation risk. By applying the martingale method, the optimal consumption rate and the optimal portfolios are obtained explicitly. Furthermore, the quantitative effect of inflation risk and subsistence constraints on the optimal polices are also described.
TURING INSTABILITY IN A PREDATOR-PREY MODEL IN PATCHY SPACE WITH SELF AND CROSS DIFFUSION
Aly, Shaban ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 17, issue 2, 2013, Pages 129~138
DOI : 10.12941/jksiam.2013.13.129
A spatio-temporal models as systems of ODE which describe two-species Beddington - DeAngelis type predator-prey system living in a habitat of two identical patches linked by migration is investigated. It is assumed in the model that the per capita migration rate of each species is influenced not only by its own but also by the other one's density, i.e. there is cross diffusion present. We show that a standard (self-diffusion) system may be either stable or unstable, a cross-diffusion response can stabilize an unstable standard system and destabilize a stable standard system. For the diffusively stable model, numerical studies show that at a critical value of the bifurcation parameter the system undergoes a Turing bifurcation and the cross migration response is an important factor that should not be ignored when pattern emerges.