• 제목/요약/키워드: Local and global Stability

검색결과 115건 처리시간 0.025초

DYNAMICS OF A ONE-PREY AND TWO-PREDATOR SYSTEM WITH TWO HOLLING TYPE FUNCTIONAL RESPONSES AND IMPULSIVE CONTROLS

  • Baek, Hunki
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제16권3호
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    • pp.151-167
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    • 2012
  • In this paper, we investigate the dynamic behaviors of a one-prey and two-predator system with Holling-type II functional response and defensive ability by introducing a proportion that is periodic impulsive harvesting for all species and a constant periodic releasing, or immigrating, for predators at different fixed time. We establish conditions for the local stability and global asymptotic stability of prey-free periodic solutions by using Floquet theory for the impulsive equation, small amplitude perturbation skills. Also, we prove that the system is uniformly bounded and is permanent under some conditions via comparison techniques. By displaying bifurcation diagrams, we show that the system has complex dynamical aspects.

2 자유도 비선형 연성시스템에서 내부공진과 안정성 변화 (Internal Resonance and Stability Change for the Two Degree Nonlinear Coupled System)

  • 김명구;박철희;조종두
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.853-861
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    • 2007
  • To understand the concept of dynamic motion in two degree nonlinear coupled system, free vibration not including damping and excitation is investigated with the concept of nonlinear normal mode. Stability analysis of a coupled system is conducted, and the theoretical analysis performed for the bifurcation phenomenon in the system. Bifurcation point is estimated using harmonic balance method. When the bifurcation occurs, the saddle point is always found on Poincare's map. Nonlinear phenomenon result in amplitude modulation near the saddle point and the internal resonance in the system making continuous interchange of energy. If the bifurcation in the normal mode is local, the motion remains stable for a long time even when the total energy is increased in the system. On the other hand, if the bifurcation is global, the motion in the normal mode disappears into the chaos range as the range becomes gradually large.

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ANALYSIS OF AN SEIQRVS EPIDEMIC DYNAMICS FOR INFECTIOUS VIRAL DISEASE: QUARANTINE AS A CONTROL STRATEGY

  • RAKESH SINGH TOMAR;JOYDIP DHAR;AJAY KUMAR
    • Journal of applied mathematics & informatics
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    • 제41권1호
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    • pp.107-121
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    • 2023
  • An epidemic infectious disease model consists of six compartments viz. Susceptible, Exposed, Infected, Quarantine, Recovered, and Virus with nonlinear saturation incidence rate is proposed to know the viral disease dynamics. There exist two biological equilibrium points for the model system. The system's local and global stability is done through Lyapunov's direct method about equilibrium points. The sensitivity analysis has been performed for the basic reproduction number and equilibrium points through the normalized forward sensitivity index. Sensitivity analysis shows that virus growth and quarantine rates are more sensitive parameters. In support of mathematical conclusions, numerical experimentation has been shown.

한국의 국가채무 현황과 구성요인 분석 (The Analysis of the current state and components of Korea's National Debt)

  • 양승권;최정일
    • 디지털융복합연구
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    • 제18권9호
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    • pp.103-112
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    • 2020
  • 본 연구의 목적은 한국의 국가채무의 구성요소와 각 구성요소가 국가채무에 미치는 영향을 살펴보는데 있다. 통계청 국가통계포털에서 국가채무를 구성하는 요소로 일반회계 적자보전, 외환시장 안정용, 서민주거 안정용, 지방정부 순채무, 공적자금를 선정하여 검색하였다. 분석기간은 1997년부터 2019년까지 총 23개 연간자료를 이용하였다. 본 연구에서 정리한 자료는 각 구성요소별 전년대비 변동률을 이용하고 있다. 이를 이용하여 본 연구는 지표분석, 수치분석과 모형분석을 시도하였다. 상관분석결과 국가채무는 외환시장안정용, 공적자금 등, 서민주거안정용과 높은 관계를 보이고 있으나 지방정부순채무와는 무관한 관계로 나타났다. 국가채무는 지난 1997년 이후 외환시장안정용과 공적자금 등, 서민주거안정용과 동조화현상을 보이며 지속적으로 증가해 왔다. 2020년도 이후에는 코로나19로 인한 재난지원금 증가로 서민주거안정용과 공적자금 등에서 크게 증가할 것으로 예상되고 있다. 세계적으로 경제상황이 어려운 시점에서 우리나라도 국가재난 지원금의 사용으로 국가부채가 크게 증가할 것으로 보이지만 가능한 경제성장과 금융시장 안정을 위해 효율적으로 운용되기를 기대하고 있다.

프리텐션 쏘일네일링 시스템의 안정해석 및 적용성 평가 (Stability Analysis and Application Evaluation of the Pretensioned Soil Nailing Systems)

  • 김홍택;박시삼
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2004년도 춘계학술발표회
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    • pp.783-790
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    • 2004
  • In this study, a newly modified soil nailing technology named as the PSN(pretensioned soil nailing) system, is developed to reduce both facing displacements and ground surface settlements in top-down excavation process as well as to increase the global stability. Up to now, the PSN system has been investigated mainly focusing on an establishment of the design procedure. In the present study, the analytical procedure and design technique are proposed to evaluate maximum pretension force and stability of the PSN system. Also proposed arc techniques to determine the required thickness of a shotcrete facing and to estimate probability of a failure against the punching shear. Based on the proposed procedure and technique, effects of the radius of a influence circle and dilatancy angle on the thickness of a shotcrete facing, bonded length and safety factors arc analyzed. In addition, effects of the reduction of deformations expected by pretensioning of the soil nails are examined in detail throughout an illustrative example and $FLAC^{2D}$ program analysis. And a numerical approach is further made to determine a postulated failure surface as well as a minimum safety factor of the proposed PSN system using the shear strength reduction technique with the $FLAC^{2D}$ program. Global minimum safety factors and local safety factors at various excavation stages computed in case of the PSN system arc analyzed throughout comparisons with the results expected in case of the general soil nailing system. The efficiency of the PSN system is also dealt with by analyzing the wall-facing deformations and the adjacent ground surface settlements.

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Towards robust viscoelastic-plastic-damage material model with different hardenings/softenings capable of representing salient phenomena in seismic loading applications

  • Jehel, Pierre;Davenne, Luc;Ibrahimbegovic, Adnan;Leger, Pierre
    • Computers and Concrete
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    • 제7권4호
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    • pp.365-386
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    • 2010
  • This paper presents the physical formulation of a 1D material model suitable for seismic applications. It is written within the framework of thermodynamics with internal variables that is, especially, very efficient for the phenomenological representation of material behaviors at macroscale: those of the representative elementary volume. The model can reproduce the main characteristics observed for concrete, that is nonsymetric loading rate-dependent (viscoelasticity) behavior with appearance of permanent deformations and local hysteresis (continuum plasticity), stiffness degradation (continuum damage), cracking due to displacement localization (discrete plasticity or damage). The parameters have a clear physical meaning and can thus be easily identified. Although this point is not detailed in the paper, this material model is developed to be implemented in a finite element computer program. Therefore, for the benefit of the robustness of the numerical implementation, (i) linear state equations (no local iteration required) are defined whenever possible and (ii) the conditions in which the presented model can enter the generalized standard materials class - whose elements benefit from good global and local stability properties - are clearly established. To illustrate the capabilities of this model - among them for Earthquake Engineering applications - results of some numerical applications are presented.

A Design of LORAN Disciplined Oscillator

  • Hwang, Sang-Wook;Choi, Yun Sub;Yeo, Sang-Rae;Park, Chansik;Yang, Sung-Hoon;Lee, Sang Jeong
    • Journal of Positioning, Navigation, and Timing
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    • 제2권1호
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    • pp.75-80
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    • 2013
  • This article presents the design of long range navigation (LORAN)-disciplined oscillator (LDO), employing the timing information of the LORAN system, which was developed as a backup system that corrects the vulnerability of the global positioning system (GPS)-based timing information utilization. The LDO designed on the basis of hardware generates a timing source synchronized with reference to the timing information of the LORAN-C receiver. As for the LDO-based timing information measurement, the Kalman filter was applied to estimate the measurement of which variance was minimized so that the stability performance could be improved. The oven-controlled crystal oscillator (OCXO) was employed as the local oscillator of the LDO. The controller was operated by digital proportional-integral-derivative (PID) controlling method. The LDO performance evaluation environment that takes into account the additional secondary factor (ASF) of the LORAN signals allows for the relative ASF observation and data collection using the coordinated universal time (UTC). The collected observation data are used to analyze the effect of ASF on propagation delay. The LDO stability performance was presented by the results of the LDO frequency measurements from which the ASF was excluded.

강우침투에 따른 불포화 토사사면의 안정해석 (Slope Stability Analysis of Unsaturated Soil Slopes Due to Rainfall Infiltration)

  • 조성은;이승래
    • 한국지반공학회논문집
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    • 제16권1호
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    • pp.51-64
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    • 2000
  • 본 연구는 강우의 침투로 인한 불포화 토사사면의 안정 해석을 위한 절차를 제시한다. 강우 침투로 인한 사면의 거동은 흐름과 변형이 연관된 이차원 유한요소해석을 통하여 해석된다. 시간에 따른 안전율을 계산하기 위하여 유한요소 해석법을 통한 응력장(stress field)으로부터 가상활동면에 대한 안전율을 산정할 수 있도록 하는 정교한 응력적분기법을 적용하였고 기하학적으로 허용가능한 활동단면의 형상을 유지하면서 합리적으로 임계단면을 찾아가는 최적화방법을 적용함으로써 강우에 의한 토사사면의 안정성 평가 절차를 개발하였다. 또한 이를 이용하여 강우침투시 투수계수의 공간적인 변화가 불포화토사사면의 파괴 거동에 미치는 영향을 보다 공학적이고 합리적인 방법으로 연구하였다. 연구결과에 의하면 투수계수의 불균질한 분포로 인하여 강우에 의한 사면표면의 국부적인 파괴영역이 발생할 수 있고 이러한 영역이 점점 확대되어 전체적인 파괴에 이르게 된다. 그러므로 시간의존적 인 사면안정해석 문제의 경우 이러한 국부적인 파괴 영역의 영향을 더 이상 무시할 수 없다.

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Soft Sedimentary Rock Slopes Design of Diversion Tunnel

  • Jee, Warren Wangryul
    • 한국암반공학회:학술대회논문집
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    • 한국암반공학회 2007년도 특별심포지엄 논문집
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    • pp.63-79
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    • 2007
  • Several remedial works were attempted to stabilize the collapsed area of the inlet slopes of diversion tunnel, but prevention of any further movement was being only carried out at beginning stage by filling the area with aggregates and rock debris, after several cracks had been initiated and developed around the area. The extra specialty developed folding zone is consisted with highly weathered Greywacke and Black shale. The suggested solution is to improve the properties of the rock mass of failed area by choosing the optimum level of reinforcement through the increment of slope rock support design so as to control the movement of slopes during the re-excavation. The Bakun hydroelectric project includes the construction of a hydroelectric power plant with an installed capacity of 2,520MW and a power transmission system connecting to the existing transmission networks in Sarawak and Western Malaysia. The power station will consist of a 210m height Concrete Faced Rockfill Dam. During the construction of the dam and the power facilities the Balui River has to be diverted of the tunnels is 12m and the tunnel width is 16m at the portal area. This paper describes the stability analysis and design methods for the open cut rock slopes in the inlet area of the diversion tunnels. The geotechnical parameters employed in stability calculations were given as a function of four defined Rock Mass Type (RMT) which were based on RMR system from Bieniawski. The stability calculations procedure of the rock slopes are divided into two stages. In the first stage, it is calculated for the stability of each "global" slope without any rock support and shotcrete system. In the second stage, it is calculated for each "local" slope stability with berms and supported with rock bolts and shotcrete. The monitoring instrumentation was performed continuously and some of the design modification was carried out in order to increase the safety of failed area based on the unforeseen geological risks during the open cut excavation.

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디프테리아 백신의 진화와 물리화학적, 분자생물학적, 면역학적 지식의 진보에 따른 새로운 백신의 개발에 관한 고찰연구 (The Evolution and Value of Diphtheria Vaccine)

  • 배경동
    • KSBB Journal
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    • 제26권6호
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    • pp.491-504
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    • 2011
  • This review article provides an overview of the evolution of diphtheria vaccine, its value and its future. Diphtheria is an infectious illness caused by diphtheria toxin produced by pathogenic strains of Corynebacterium diphtheriae. It is characterized by a sore throat with membrane formation due to local tissue necrosis, which can lead to fatal airway obstruction; neural and cardiac damage are other common complications. Diphtheria vaccine was first brought to market in the 1920s, following the discovery that diphtheria toxin can be detoxified using formalin. However, conventional formalin-inactivated toxoid vaccines have some fundamental limitations. Innovative technologies and approaches with the potential to overcome these limitations are discussed in this paper. These include genetic inactivation of diphtheria toxoid, innovative vaccine delivery systems, new adjuvants (both TLR-independent and TLR-dependent adjuvants), and heat- and freeze-stable agents, as well as novel platforms for producing improved conventional vaccine, DNA vaccine, transcutaneous (microneedle-mediated) vaccine, oral vaccine and edible vaccine expressed in transgenic plants. These innovations target improvements in vaccine quality (efficacy, safety, stability and consistency), ease of use and/or thermal stability. Their successful development and use should help to increase global diphtheria vaccine coverage.