• Title/Summary/Keyword: two-type functional responses

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On the Dynamical Behavior of a Two-Prey One-Predator System with Two-Type Functional Responses

  • Baek, Hunki
    • Kyungpook Mathematical Journal
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    • v.53 no.4
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    • pp.647-660
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    • 2013
  • In the paper, a two-prey one-predator system with defensive ability and Holling type-II functional responses is investigated. First, the stability of equilibrium points of the system is discussed and then conditions for the persistence of the system are established according to the existence of limit cycles. Numerical examples are illustrated to attest to our mathematical results. Finally, via bifurcation diagrams, various dynamic behaviors including chaotic phenomena are demonstrated.

DYNAMICS OF A PREY-PREDATOR INTERACTION WITH HASSELL-VARLEY TYPE FUNCTIONAL RESPONSE AND HARVESTING OF PREY

  • BHATTACHARYYA, ANINDITA;MONDAL, ASHOK;PAL, A.K.;SINGH, NIKHITA
    • Journal of applied mathematics & informatics
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    • v.40 no.5_6
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    • pp.1199-1215
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    • 2022
  • This article aims to study the dynamical behaviours of a two species model in which non-selective harvesting of a prey-predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis is used. A system of two ordinary differential equations(ODE's) has been proposed and analyzed with the predator functional response to prey density is considered as Hassell-Varley type functional responses to study the dynamics of the system. Positivity and boundedness of the system are studied. We have discussed the existence of different equilibrium points and stability of the system at these equilibrium points. We also analysed the system undergoes a Hopf-bifurcation around interior equilibrium point for a various parametric values which has very significant ecological impacts in this work. Computer simulation are carried out to validate our analytical findings. The biological implications of analytical and numerical findings are discussed critically.

Development and Evaluation of Functional Lab Gowns in Point of Thermoregulation and Thermal Comfort (기능성 실험 가운의 개발 및 평가 -체온조절 및 온열 쾌적성을 중심으로-)

  • 최정화;이주영;김소영
    • Journal of the Korean Society of Clothing and Textiles
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    • v.28 no.2
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    • pp.292-302
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    • 2004
  • The purpose of this study was to evaluate thermal properties of lab gowns developed from the point of safety and work efficiency. We evaluated thermal and subjective responses of subjects wearing functional new lab gowns (Type B, C, D) and a popular lab gown on the market (Type A). Type B was a new lab gown made of woven fabric with functional cuffs. Type C was a new apron made of woven fabric with arm protectors. Type D was a new lab gown made of non-woven material with functional cuffs and openings around the armpits. Temperature in the climatic chamber was set at 19$^{\circ}$C as an indoor temperature in winter and at 24$^{\circ}$C in summer. There were no significant differences in rectal temperature and heart rate among four types of gowns and between two air temperatures for 120 min. Mean skin temperature was much higher in the type A and B than in He type C and D (p .05). In the 19$^{\circ}$C air, clothing microclimate temperature on the back was the highest in the type B and was the lowest in the type C (p .05). Clothing microclimate humidity was not significant differences among gowns. In subjective .esponses, subjects perceived that Type B was the warmest gown in the 19$^{\circ}$C and the hottest and more humid in the 24$^{\circ}$C than other gowns. Inversely, type C was the coolest gown among four gowns. Both in the 19$^{\circ}$C and in the 24$^{\circ}$C, the Type D had gained most responses of being comfortable. In conclusion, the temperature difference of 5$^{\circ}$C was more of an influencing factor than the difference from four types of lab gowns. Secondly, we recommend the manufacturers to make lab gowns with functional cuffs for safety purposes. Thirdly, the spread of the type of apron with arm protector will contribute to increase of the frequency of wearing in summer. Fourthly, it is necessary to study continuously about lab gowns with non-woven materials for researchers exposed to toxic chemical and biological materials.

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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    • v.16 no.3
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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.

Delayed Dynamics of Prey-Predator System with Distinct Functional Responses

  • Madhusudanan, V.;Vijaya, S.
    • Kyungpook Mathematical Journal
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    • v.57 no.2
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    • pp.265-285
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    • 2017
  • In this article, a mathematical model is proposed and analyzed to study the delayed dynamics of a system having a predator and two preys with distinct growth rates and functional responses. The equilibrium points of proposed system are determined and the local stability at each of the possible equilibrium points is investigated by its corresponding characteristic equation. The boundedness of the system is established in the absence of delay and the condition for existence of persistence in the system is determined. The discrete type gestational delay of predator is also incorporated on the system. Further it is proved that the system undergoes Hopf bifurcation using delay as bifurcation parameter. This study refers that time delay may have an impact on the stability of the system. Finally Computer simulations illustrate the dynamics of the system.

Generational Differences in Responses Related to Advertisements (광고 관련 변수들에 대한 세대 간의 반응 차이)

  • Kim, Woo-Sung
    • Korean Journal of Human Ecology
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    • v.21 no.6
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    • pp.1145-1160
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    • 2012
  • This study empirically compared generational differences in responses between baby boomers, Generation X, and Generation Y groups as measured by key variables related to advertisement. The respondents in this study were consumers throughout Korea, with 914 survey questionnaires used for the final analyses. Eight of the original 10 hypotheses were validated and two were rejected. Both baby boomer consumers and Generation Y consumers showed more positive responses to affective advertisements than their Generation X counterparts. Generation Y consumers showed more positive attitudes towards humorous advertisements than their baby boomer and Generation X counterparts. The effect of advertising models on the evaluation of advertisements was greater among Generation Y consumers than their Generation X counterparts. Generation Y consumers showed more positive attitudes towards storytelling-type marketing than their baby boomer and Generation X counterparts. Baby boomer consumers showed more positive attitudes towards symbolic advertisements than their Generation X and Generation Y counterparts. Generation X consumers showed more positive attitudes towards functional advertisements than the baby boomer and Generation Y groups. There were significant differences in attitudes towards two types (symbolic and functional) of advertisements in both baby boomer consumers and Generation X consumers.

Physiological Response & Comfort according to Backpack Type and Weight for Girl Middle School Students (여중생 책가방의 형태와 무게에 따른 생리적 반응과 쾌적감)

  • Park, Hae-Young;Lee, Kyung-A;Na, Young-Joo
    • Fashion & Textile Research Journal
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    • v.12 no.3
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    • pp.364-371
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    • 2010
  • The purpose of this study is to weigh the students' backpacks of middle school in daily use and to analyse their physiological responses and subjective senses when carrying backpack in order to promote healthy and comfort school life of girl middle school students. Two female students were subjects who answered the questionnaires on two types of backpack and their metabolism, perspiration and the changes of skin temperature were measured in constant environment chamber, $25{\pm}1$ and $49{\pm}10$% RH. They walked on the treadmill carrying the backpack with the increment of backpack weight, 2 kg, 4 kg to 6 kg. When the backpack increases to 6 kg, the discomfort parameters and responses increases rapidly. Comparing with general type, improved type of backpack showed good results in physiological responses, but not in subjective senses, such as the ease of movement, pain, or total preference, specially in 2 kg and 4 kg. The girl students prefer the general type of backpack which is of fashion and small, when it weighs light such as 2 kg or 4 kg, while they prefer the improved bag which is functional when it is heavy as 6 kg. The longer wearing time of the medium weight, for example, 4 kg without feeling or recognition of any discomfort due to fashion style, might cause the students' posture and health weaker or more vulnerable to the problems.

Development of a Robust Nonlinear Prediction-Type Controller

  • Park, Ghee-Yong
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.445-450
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    • 1998
  • In this paper, a robust nonlinear prediction-type controller (RNPC) is developed for the continuous time nonlinear system whose control objective is composed of system output and its desired value. The basic control law of RNPC is derived such that the future response of the system is first predicted by appropriate functional expansions and the control law minimizing the difference between the predicted and desired responses is then calculated. RNPC which involves two controls, i.e., the auxiliary and robust controls into the basic control, shows the stable closed loop dynamics of nonlinear system of any relative degree and provides the robustness to the nonlinear system with parameter/modeling uncertainty. Simulation tests for the position control of a two-link rigid body manipulator confirm the performance improvement and the robustness of RNPC.

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The Regulation of Stress Responses by Non-tandem CCCH Zinc Finger Genes in Plants (식물에서 non-tandem CCCH zinc finger 그룹 유전자에 의한 스트레스 반응 조절)

  • Hye-Yeon Seok;Md Bayzid;Swarnali Sarker;Sun-Young Lee;Yong-Hwan Moon
    • Journal of Life Science
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    • v.33 no.11
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    • pp.956-965
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    • 2023
  • In plants, there are many CCCH zinc finger proteins consisting of three cysteine residues and one histidine residue, which bind to zinc ions with finger configuration. CCCH-type zinc finger proteins are divided into tandem CCCH-type zinc finger (TZF) and non-TZF proteins: TZF proteins contain exactly two tandem CCCH-type zinc finger motifs whereas non-TZF proteins have fewer or greater than two CCCH-type zinc finger motifs. The functions of TZF genes, especially plant-specific RR-TZF genes, have been well studied in several plants, whereas the functional roles of non-TZF genes have not been adequately researched compared to TZF genes. Many non-TZF genes have been identified as being involved in the responses to biotic and abiotic stresses, such as pathogen, high salt, drought, cold, heat, and oxidative stresses. Some non-TZF proteins bind to RNA and are involved in the post-transcriptional regulation of stress-responsive genes in the cytoplasm. In addition, other non-TZF proteins act as transcriptional activators or repressors that regulate the expression of stress-responsive genes in the nucleus. Despite these studies, stress signal transduction and upstream and downstream genes of non-TZF genes have not been sufficiently researched, suggesting that additional studies of the functions of non-TZF genes' functions in plants' stress responses are needed. In this review, we describe non-TZF genes involved in biotic abiotic stress responses in plants and their molecular functions.

The effect of intracellular trafficking of CD1d on the formation of TCR repertoire of NKT cells

  • Shin, Jung Hoon;Park, Se-Ho
    • BMB Reports
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    • v.47 no.5
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    • pp.241-248
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    • 2014
  • CD1 molecules belong to non-polymorphic MHC class I-like proteins and present lipid antigens to T cells. Five different CD1 genes (CD1a-e) have been identified and classified into two groups. Group 1 include CD1a-c and present pathogenic lipid antigens to ${\alpha}{\beta}$ T cells reminiscence of peptide antigen presentation by MHC-I molecules. CD1d is the only member of Group 2 and presents foreign and self lipid antigens to a specialized subset of ${\alpha}{\beta}$ T cells, NKT cells. NKT cells are involved in diverse immune responses through prompt and massive production of cytokines. CD1d-dependent NKT cells are categorized upon the usage of their T cell receptors. A major subtype of NKT cells (type I) is invariant NKT cells which utilize invariant $V{\alpha}14-J{\alpha}18$ TCR alpha chain in mouse. The remaining NKT cells (type II) utilize diverse TCR alpha chains. Engineered CD1d molecules with modified intracellular trafficking produce either type I or type II NKT cell-defects suggesting the lipid antigens for each subtypes of NKT cells are processed/generated in different intracellular compartments. Since the usage of TCR by a T cell is the result of antigen-driven selection, the intracellular metabolic pathways of lipid antigen are a key in forming the functional NKT cell repertoire.