• Environmental Sciences Bulletin of The Korean Environmental Sciences Society
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• 제4권4호
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• pp.263-271
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• 2000

To investigate the distribution of air pollutants dispersion in the horizontal wind fields, a chaff release experiment was carried out by an airplane. The temporal and spatial variations of a chaff plume from an elevated point source using the WSR-88D(NEXRAD) radar. The observed profiles of radar reflectivity were compared with the Gaussian diffusion model at slightly unstable atmospheric condition. The present study shows that the distributions of radar reflectivity from chaffs and their concentration by the model are in general agreement with time variation. The dispersion coefficients in downwind($\sigma$(sub)x) and crosswind($\sigma$(sub)y) spread data exceeded what has generally been found at Pasquill and Brigg\`s estimates. As a result, it was clearly shown that horizontal and vertical diffusion coefficients are more accurately determined as compared with theoretical coefficients. At longer diffusion distances(than 10km), a radar observation provided the determination of maximum range and diffusion height more qualitatively, too.

• Journal of Contemporary Eastern Asia
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• 제14권1호
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• pp.45-55
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• 2015

This paper examines the diffusion of smartphones with a special emphasis on the diffusive interactions between Apple iOS and Google Android in a global context. Since the two mobile platforms were first introduced in the market, the use of smartphones has skyrocketed, suggesting that the dramatic diffusion of smartphones may be explained in part by the growth and competition of these two platforms. To study this, an extended Bass model is applied to a data set of quarterly smartphone sales between 2008 and 2013 for 15 countries. Our findings suggest that the innovation effect was more salient for iOS than for Android in developed countries, whereas the imitation effect was more striking for Android than for iOS in developing countries. Furthermore, our results from the co-diffusion model suggest that the diffusion of Android negatively affected by the diffusion of iOS, but not vice versa.

• 한국산업정보학회논문지
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• 제14권4호
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• pp.101-115
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• 2009

본 연구에서는 디지털 융합 기술의 대표적인 제품이라 할 수 있는 카메라폰을 대상으로 전통적인 확산모델인 TAM을 비롯한 수용-확산모델과 최근 Shih and Venkatesh(2004)에 의해 제시된 사용-확산 모델의 비교를 통해 디지털융합제품의 확산과정을 규명하였다. 수용-확산 모델을 적용한 분석결과에서는 관찰가능성, 인지된 유용성, 혁신성, 상대적 이점 등이 재구매 의도에 유의한 영향을 미치는 것으로 나타났다. 반면에 사용-확산 모델을 적용한 분석결과에서는 기술정교성과 만족, 혁신성과 상대적 이점 등이 재구매의도에 유의한 영향을 미치는 것으로 나타났다. 본 연구 결과는 신제품 확산과정에 대한 소비자 관점에서의 이론적 모형에 있어서 주류를 이루고 있는 TAM을 비롯한 수용-확산 모델이 카메라폰과 같은 디지털 융합기술의 확산에도 적용될 수 있음을 시사하고 있다. 또한 기존 제품의 사용을 통해 형성된 기술적 정교성과 만족을 중심으로 하는 사용-확산모델이 디지털 융합 제품 확산에 보다 설득력을 지니고 있음을 보여주고 있다.

• 스마트미디어저널
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• 제13권2호
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• pp.9-15
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• 2024

본 논문에서는 신용 예측에서 발생하는 불균형 문제를 해결하기 위해 Diffusion Multi-step Classifier(DMC)를 제안한다. DMC는 Diffusion Model을 통해 신용 예측 데이터의 연속적인 수치형 데이터들을 생성하고 생성된 데이터들을 Multi-step Classifier로 구분하는 것으로 범주형 데이터를 생성한다. DMC를 통해 기존의 데이터를 생성하는 다른 알고리즘보다 실제 데이터와 유사한 분포를 가지는 데이터를 생성할 수 있었다. 이렇게 생성된 데이터를 사용하여 실험을 진행하였을 때 연체를 예측할 확률이 20%이상 상승하였으며, 전체적으로 예측 정확성은 약 4%정도 상승하였다. 이러한 연구 결과는 실제 금융기관에 적용 시 연체율 감소와 수익 증가에 큰 기여를 할 수 있을것으로 예상된다.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.455-460
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• 2007

In allelic model $X=(x_1,\;x_2,\;{\cdots},\;x_d)$, $$M_f(t)=f(p(t))-{\int}_0^t\;Lf(p(t))ds$$ is a P-martingale for diffusion operator L under the certain conditions. In this note, we try to apply diffusion processes for countable-allelic model in population genetic model and we can define a new diffusion operator $L^*$. Since the martingale problem for this operator $L^*$ is related to diffusion processes, we can define a integral which is combined with operator $L^*$ and a bilinar form $<{\cdot},{\cdot}>$. We can find properties for this integral using maximum principle.

• Korean Journal of Mathematics
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• 제22권4호
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• pp.599-609
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• 2014

We refer to the saturation assumptions on the finite element approximation for a one dimensional convection-diffusion model. By examining piecewise linear finite elements with refined mesh by half and hierarchical bases, we verify the saturation results, respectively.

• Computers and Concrete
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• 제8권3호
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• pp.343-355
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• 2011

This paper presented the model to predict the chloride diffusion coefficient in tension zone of plain concrete under flexural cyclic load. The fictitious crack based analytical model was used together with the stress degradation law in cracked zone to predict crack growth of plain concrete beams under flexural cyclic load. Then, under cyclic load, the chloride diffusion, in the steady state and one dimensional regime, through the tension zone of the plain concrete beam, in which microcracks were formed by a large number of cycles, was simulated with assumptions of continuously straight crack and uniform-size crack. The numerical analysis in terms of the chloride diffusion coefficient, $D_{tot}$, normalized $D_{tot}$, crack width and crack length was issued as a function of the load cycle, N, and load level, SR. The nonlinear model as regarding with the chloride diffusion coefficient in tension zone and the load level was proposed. According to this model, the chloride diffusion increases with increasing load level. The predictions using model fit well with experimental data when we adopted suitable crack density and tortuosity parameter.

• 대한수학회보
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• 제47권2호
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• pp.251-261
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• 2010

This paper deals with a predator-prey model with Holling type III response function and cross-diffusion subject to the homogeneous Neumann boundary condition. We first give a priori estimates (positive upper and lower bounds) of positive steady states. Then the non-existence and existence results of non-constant positive steady states are given as the cross-diffusion coefficient is varied, which means that stationary patterns arise from cross-diffusion.

• 대한수학회지
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• 제57권1호
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• pp.249-281
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• 2020

A reaction-diffusion model with spatiotemporal delay modeling the dynamical behavior of a single species is investigated. The parameter regions for the local stability, global stability and instability of the unique positive constant steady state solution are derived. The conditions of the occurrence of Turing (diffusion-driven) instability are obtained. The existence of time-periodic solutions, the existence and nonexistence of nonconstant positive steady state solutions are proved by bifurcation method and energy method. Numerical simulations are presented to verify and illustrate the theoretical results.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제17권2호
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• pp.129-138
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• 2013

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.