• Title/Summary/Keyword: 수리생태학

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Mathematical models for population changes of two interacting species (상호작용하는 두 생물 종의 개체 수 변화에 대한 수학적 모델)

  • Shim, Seong-A
    • Journal for History of Mathematics
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    • v.25 no.1
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    • pp.45-56
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    • 2012
  • Mathematical biology has been recognized its importance recently and widely studied in the fields of mathematics, biology, medical sciences, and immunology. Mathematical ecology is an academic field that studies how populations of biological species change as times flows at specific locations in their habitats. It was the earliest form of the research field of mathematical biology and has been providing its basis. This article deals with various form of interactions between two biological species in a common habitat. Mathematical models of predator-prey type, competitive type, and simbiotic type are investigated.

Convergence and Substitutability between IPTV and Digital Cable TV on Subscribers (IPTV와 디지털 케이블 TV 간의 융합과 대체성 강화에 따른 가입자 변동)

  • Hwang, In Young;Park, J. Hun
    • Informatization Policy
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    • v.22 no.2
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    • pp.19-34
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    • 2015
  • Due to rapid convergence trends in the digital pay TV market, differentiation among the competing medias decreases and substitutability is increasing. The current study aims to explain the effect of service substitutability among competing media on the size of domestic digital pay TV subscribers. For the analysis, the Lotka-Volterra model, an ecological competitive diffusion model, was used to obtain the basic model for a simulation study. A simulation was performed by adjusting independent variables of substitutability to estimate the size of subscriber for particular media. The relationship between the digital cable TV and the IPTV is identified as a predator-prey relationship and the digital cable TV is found to be superior to the IPTV. The simulation results showed that the increase of convergence and substitutability result in the decrease of the entire media market. Especially, the IPTV is estimated to face the greatest loss in this context.

A study on mathematical models describing population changes of biological species (생물 종의 개체 수 변화를 기술하는 수학적 모델에 대한 고찰)

  • Shim, Seong-A
    • Journal for History of Mathematics
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    • v.24 no.2
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    • pp.47-59
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    • 2011
  • Various mathematical models have been widely studied recently in both fields of mathematics and ecology since they help us understand the dynamical process of population changes in biological species living in a certain habitat and give useful predictions. The world population model proposed by Malthus, a British economist, in his work 'An Essay on the Principle of Population' published in the period of 1789~1826 is one of the early mathematical models on population changes. Malthus' models and the carrying capacity models of Verhulst in 1845 were based on exponential type functions. The independent research field of mathematical ecology has been started from Lotka's works in 1920's. Since then various different mathematical models has been proposed and examined. This article mainly deals with single species population change models expressed in terms of ordinary differential equations.