• 한국유통학회지:유통연구
• /
• 제15권4호
• /
• pp.61-85
• /
• 2010

본 연구에서는 국내 대형할인점의 확산을 효과적으로 설명하기 위해 기업의 정보와 구매자의 구전으로 확산을 설명하는 Bass모형에 제3의 요소로 공간적 영향력을 고려하였다. 국내 대형할인점의 확산은 확산중심지인 서울경인지역에서 저차중심지인 4개 지역권역으로 확산되는 형태를 보임에 따라 공간적 영향이 중요하게 작용할 것으로 기대된다. 본 연구에서 공간적으로 구분된 시장 A(확산중심지)가 시장 B(저차중심지)에 미치는 영향이 완전히 통제되지 못하는 상황에서 시장 A가 시장 B에 미치는 공간적 영향을 다국가확산모형(multinational diffusion model)을 확장한 공간확산모형(spatial diffusion model)을 이용하여 정의하였다. Bass모형과 공간확산모형의 모수추정을 통해 두 가지 정보전달경로와 관련된 혁신계수와 모방계수로 확산을 설명하는 Bass모형보다 공간확산모형이 국내 대형할인점 확산을 더욱 효과적으로 설명하는 것으로 나타났다. 또한 혁신중심지인 서울경인과 4개 지역권역의 소매환경을 나타내는 개념적 거리에 따라 공간확산모형에서 공간적요인의 영향력이 달라질 것이 기대되어 공간확산계수와 소매환경변수간의 상관관계를 살펴보았고, 연구결과 확산중심지에서 저차중심지에 대한 공간적 영향력은 저차중심지의 소매환경이 확산중심지의 소매환경과 유사할수록 크다는 것을 밝혀내었다.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제16권4호
• /
• pp.249-256
• /
• 2012

In this work, we analyze the spatial patterns of a predator-prey system with cross diffusion. First we get the critical lines of Hopf and Turing bifurcations in a spatial domain by using mathematical theory. More specifically, the exact Turing region is given in a two parameter space. Our results reveal that cross diffusion can induce stationary patterns which may be useful in understanding the dynamics of the real ecosystems better.

• 대한원격탐사학회:학술대회논문집
• /
• 대한원격탐사학회 2002년도 Proceedings of International Symposium on Remote Sensing
• /
• pp.54-58
• /
• 2002

Mean curvature diffusion (MCD) is a selective smoothing technique that promotes smoothing within a region instead of smoothing across boundaries. By using mean curvature diffusion, noise is eliminated and edges are preserved. In this paper, we propose methods of automatic parameter selection and implementation for the MCD model coupled to min/max flow. The algorithm has been applied to high resolution aerial images and the results show that noise is eliminated and edges are preserved after removal of noise.

• 한국경제지리학회지
• /
• 제1권1호
• /
• pp.137-149
• /
• 1998

교통망의 확충계획이 있거나 확충작업이 이루어지고 있는 지역에서는 그로 인한 직접적인 접근성 증가와 더불어 교통망의 개선에 따른 접근성 증가의 주변지역으로의 파급효과를 정확히 신출할 수 있다면 지역 전체의 접근성 공간구조를 파악할 수 있게 되고, 지가와 토지이용의 변화를 정확히 예측할 수 있게 되어 교통을 포함한 각종 지역계획과정에서 효율적이고 합리적인 대안선정을 위한 기준을 제공할 수 있을 것이다. 기존의 그래프이론에 기반을 둔 접근성 측정모형에 의해 산출되는 결정점의 접근성 증가가 주변지역으로 파급되는 효과를 정확히 산출할 수 있는 이론적 모형의 개발을 시도하였다. 특히 결정점을 중심으로 주변지역으로 거리가 멀어지면서 변화하는 지하철 접근도의 영향력을 측정하기 위한 이론적 모형을 제시하고 있다. 지하철역의 접근도가 주변지역으로 확산되는 정도는 주변지역에서 그 지하철역을 이용하는 정도와 일치한다고 보고 주변지역의 지하철역 이용밀도를 기반으로 수학적 함수식을 도출하였다. 이러한 연구는 궁극적으로는 최근 지리적 분석기법으로 각광을 받고 있는 GIS기법에 접목시켜 지표현상의 설명에 핵심이 되는 접근성의 공간적 보간에 대한 이론적 근거를 마련한다는 의미를 지닌다.

• Journal of applied mathematics & informatics
• /
• 제27권1_2호
• /
• pp.385-400
• /
• 2009

The adverse effect of harmful plankton on the marine ecosystem is a topic of deep concern. To investigate the role of such phytoplankton, a mathematical model containing distinct dynamical equations for toxic and non-toxic phytoplankton is analyzed. Stability analysis of the resulting three equation model is carried out. A continuous time variation in toxin liberation process is incorporated into the model and a stability analysis of the resulting delay model is performed. The distributed delay model is then extended to include the spatial distribution of plankton and the delay-diffusion model is analyzed with spatial and spatiotemporal kernels. Conditions for diffusion-driven instability in both the cases are derived and compared to explore the significance of these kernels. Numerical studies are performed to justify analytical findings.

• 농촌계획
• /
• 제20권3호
• /
• pp.67-74
• /
• 2014

The purpose of this study is to estimate regional economic effects of spatial diffusion of wildfire using Cobb-Douglas production function of agriculture and forestry. The analysis is applied to Gangwon and Gyeongbuk provinces where are the most damaged of wildfire in Korea. The damaged areas are derived from multiplied by the occurrence probability of wildfire and diffusion areas of wildfire for micro-spatial unit level with ArcGIS techniques. The models of wildfire provides that the spatial diffusion of wildfire increases with the rising of highest temperature and average wind speed. Through the production function, value added of Agriculture and Forest sectors get damaged where the Cos-converted slope aspect of mountains are toward the South. The production model provides reductions of regional value added by increasing damaged areas of wildfire. It reveals that the most damaged region is Andong city in Gyeongbuk province, where value added loss is 1.25 billion Won, which is about 0.72% of total value added in agriculture and forestry of the city. As a view of policy makers, it needs to be considered to establish prevention policies against wildfires because regional economic losses from wildfire are depending on geographical conditions and performances of the major industry related to wildfire's diffusion such as agriculture or tourism sector according to the result of analysis.

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

• 대한기계학회논문집
• /
• 제11권3호
• /
• pp.528-536
• /
• 1987

본 연구에서는 간헐적인 유동에 의거한 체적 대류 모델을 설정하고, 구배 확 산 모델에 유동장의 중심부와 외부에서 서로 다른 무게값을 부여하는 혼성 확산 모델 (hybrid diffusion model)을 제안하며, 이 모델을 검증하기 위한 첫 단계로서 평면 제 트 유동에 대하여 수치 계산을 수행하다. 여기에는 간헐도에 대한 난류 전달 방정식 이 필요한데 이 방정식의 생성항(production term)은 곧 외부의 비회전 유동이 난류성 유체로 유입되는 정도를 의미하게 된다.

• Geomechanics and Engineering
• /
• 제23권2호
• /
• pp.151-163
• /
• 2020

Grouting method is an effective way of reinforcing cracked rock masses and plugging water gushing. Current grouting diffusion models are generally developed for horizontal cracks, which is contradictory to the fact that the crack generally occurs in rock masses with irregular spatial distribution characteristics in real underground environments. To solve this problem, this study selected a cement-sodium silicate slurry (C-S slurry) generally used in engineering as a fast-curing grouting material and regarded the C-S slurry as a Bingham fluid with time-varying viscosity for analysis. Based on the theory of fluid mechanics, and by simultaneously considering the deadweight of slurry and characteristics of non-uniform spatial distribution of viscosity of fast-curing grouts, a theoretical model of slurry diffusion in an oblique crack in rock masses at constant grouting rate was established. Moreover, the viscosity and pressure distribution equations in the slurry diffusion zone were deduced, thus quantifying the relationship between grouting pressure, grouting time, and slurry diffusion distance. On this basis, by using a 3-d finite element program in multi-field coupled software Comsol, the numerical simulation results were compared with theoretical calculation values, further verifying the effectiveness of the theoretical model. In addition, through the analysis of two engineering case studies, the theoretical calculations and measured slurry diffusion radius were compared, to evaluate the application effects of the model in engineering practice. Finally, by using the established theoretical model, the influence of cracking in rock masses on the diffusion characteristics of slurry was analysed. The results demonstrate that the inclination angle of the crack in rock masses and azimuth angle of slurry diffusion affect slurry diffusion characteristics. More attention should be paid to the actual grouting process. The results can provide references for determining grouting parameters of fast-curing grouts in engineering practice.

• Korean Journal of Mathematics
• /
• 제13권2호
• /
• pp.149-159
• /
• 2005

We study an age-dependent s-i-s epidemic model with spatial diffusion. The model equations are described by a nonlinear and nonlocal system of integro-differential equations. Finite difference methods along the characteristics in age-time domain combined with finite elements in the spatial variable are applied to approximate the solution of the model. Stability of the discrete periodic solution is investigated.