• Title/Summary/Keyword: Positive system

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GLOBAL ASYMPTOTIC STABILITY OF POSITIVE STEADY STATES OF AN n-DIMENSIONAL RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DIFFUSION

  • Zhou, Jun
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.1847-1854
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    • 2013
  • The main concern of this paper is to study the dynamics of an n-dimensional ratio-dependent predator-prey system with diffusion. We study the dissipativeness, persistence of the system and it is shown that the unique positive constant steady state is globally asymptotically stable under some assumptions.

PERIODIC SOLUTIONS OF A DISCRETE-TIME NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH THE BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

  • Dai, Binxiang;Zou, Jiezhong
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.127-139
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    • 2007
  • In this paper, we investigate a discrete-time non-autonomous predator-prey system with the Beddington-DeAngelis functional response. By using the coincidence degree and the related continuation theorem as well as some priori estimates, easily verifiable sufficient criteria are established for the existence of positive periodic solutions.

The Critical Phenomena of a Model for the Metabolic Control System with Positive Feedback

  • Kim, Cheol-Ju;Lee, Dong- J.;Shin, Kook-Joe;Lee, Jong-Myung;Ko, Seuk-Beum;Jeon, Il-Cheol
    • Bulletin of the Korean Chemical Society
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    • v.10 no.5
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    • pp.452-458
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    • 1989
  • The static and dynamic phenomena of a model for the metabolic control system with positive feedback are discussed with the static and dynamic renormalization group theory. Then, the explicit results for the static and dynamic exponents are obtained up to the second order of ${\varepsilon}$-expansion, ${\varepsilon}$ being 4-d, where d is the space dimensionality of the system.

On the Transition between Stable Steady States in a Model of Biochemical System with Positive Feedback

  • Kim, Cheol-Ju;Lee, Dong-Jae;Shin, Kook-Joe
    • Bulletin of the Korean Chemical Society
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    • v.11 no.6
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    • pp.557-560
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    • 1990
  • The transition from one stable steady state branch to another stable steady state branch in a simple metabolic system with positive feedback is discussed with the aid of the bimodal Gaussian probability distribution method. Fluctuations lead to transitions from one stable steady state branch to the other, so that the bimodal Gaussian evolves to a new distribution. We also obtain the fractional occupancies in the two stable steady states in terms of a parameter characterizing conditions of the system.

STUDIES ON BOUNDARY VALUE PROBLEMS FOR BILATERAL DIFFERENCE SYSTEMS WITH ONE-DIMENSIONAL LAPLACIANS

  • YANG, XIAOHUI;LIU, YUJI
    • Korean Journal of Mathematics
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    • v.23 no.4
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    • pp.665-732
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    • 2015
  • Existence results for multiple positive solutions of two classes of boundary value problems for bilateral difference systems are established by using a fixed point theorem under convenient assumptions. It is the purpose of this paper to show that the approach to get positive solutions of boundary value problems of finite difference equations by using multi-fixed-point theorems can be extended to treat the bilateral difference systems with one-dimensional Laplacians. As an application, the sufficient conditions are established for finding multiple positive homoclinic solutions of a bilateral difference system. The methods used in this paper may be useful for numerical simulation. An example is presented to illustrate the main theorems. Further studies are proposed at the end of the paper.

The Effects of Emotional Contexts on Infant Smiling (정서 유발 맥락이 영아의 미소 얼굴 표정에 미치는 영향)

  • Hong, Hee Young;Lee, Young
    • Korean Journal of Child Studies
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    • v.24 no.6
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    • pp.15-31
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    • 2003
  • This study examined the effects of emotion inducing contexts on types of infants smiling. Facial expressions of forty-five 11-to 15-month-old infants were videotaped in an experimental lab with positive and negative emotional contests. Infants' smiling was identified as the Duchenne smile or non-Duchenne smile based on FACS(Facial Action Coding System, Ekman & Friesen, 1978). Duration of smiling types was analyzed. Overall, infants showed more smiling in the positive than in the negative emotional context. Occurrence of Duchenne smiling was more likely in the positive than in the negative context and in the peek-a-boo than in the melody toy condition within the same positive context. Non-Duchenne smiling did not differ by context.

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A Study on Word-of-Mouth Communication of Hairshop Customers (헤어 샵 이용 소비자의 구전 커뮤니케이션에 관한 연구)

  • 황연순
    • Journal of the Korean Home Economics Association
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    • v.41 no.11
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    • pp.189-200
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    • 2003
  • The purpose of this study was to investigate that positive and negative word-of-mouth informations getting hairshop customers have influence on visiting intention of potential consumers. Data were collected from 354 university or college women. The results showed as follows; First, positive word-of-mouth informations that consumers have experienced in using hairshop were employee altitude/technique, consideration in customer's situation, kindness, saving of time/additional service, facilities, rational price, gift service/benefit in conditions of location. Second, negative word-of-mouth informations that consumers have experienced in using hairshop were inconsistent service, service focus on non-customers, irrational price/technique insufficiency/ inadequate compensational system, irrelevance of face-to-face management. Third, in getting positive word-of-mouth informations, consideration in customer's situation, rational price and gift service/benefit in conditions of location, consumers had visiting intention, and in getting negative informations, irrational price/technique insufficiency/inadequate compensational system, consumers had no visiting intention.

PERIODIC SOLUTIONS FOR DISCRETE ONE-PREDATOR TWO-PREY SYSTEM WITH THE MODIFIED LESLIE-GOWER FUNCTIONAL RESPONSE

  • Shi, Xiangyun;Zhou, Xueyong;Song, Xinyu
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.639-651
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    • 2009
  • In this paper, we study a discrete Leslie-Gower one-predator two-prey model. By using the method of coincidence degree and some techniques, we obtain the existence of at least one positive periodic solution of the system. By linalization of the model at positive periodic solution and construction of Lyapunov function, sufficient conditions are obtained to ensure the global stability of the positive periodic solution. Numerical simulations are carried out to explain the analytical findings.

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Implementation and Design of Port Scan Detecting System Detecting Abnormal Connection Attempts (비정상 연결시도를 탐지한 포트 스캔 탐지 시스템의 설계 및 구현)

  • Ra, Yong-Hwan;Cheon, Eun-Hong
    • Convergence Security Journal
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    • v.7 no.1
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    • pp.63-75
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    • 2007
  • Most of computer systems to be connected to network have been exposed to some network attacks and became to targets of system attack. System managers have established the IDS to prevent the system attacks over network. The previous IDS have decided intrusions detecting the requested connection packets more than critical values in order to detect attacks. This techniques have False Positive possibilities and have difficulties to detect the slow scan increasing the time between sending scan probes and the coordinated scan originating from multiple hosts. We propose the port scan detection rules detecting the RST/ACK flag packets to request some abnormal connections and design the data structures capturing some of packets. This proposed system is decreased a False Positive possibility and can detect the slow scan, because a few data can be maintained for long times. This system can also detect the coordinated scan effectively detecting the RST/ACK flag packets to be occurred the target system.

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