THE INFLUENCE OF SPECIES' NUMBER AND THE DENSITY OF VACANT SITES ON THE DEFENSIVE ALLIANCE.

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Title: THE INFLUENCE OF SPECIES' NUMBER AND THE DENSITY OF VACANT SITES ON THE DEFENSIVE ALLIANCE.
Authors: Mingfeng He1 mfhe@dlut.edu.cn, Yu Cai1, Zhirui Wang1, Qiu-Hui Pan2
Source: International Journal of Modern Physics C: Computational Physics & Physical Computation. Dec2005, Vol. 16 Issue 12, p1861-1868. 8p. 3 Diagrams, 2 Graphs.
Subjects: Closed ecological systems, Ecology, Monte Carlo method, Mathematical models, Numerical analysis, Defensiveness (Psychology)
Abstract: The multi-species ecological system with cyclic dominance and vacant sites is studied. The theme is the forming problem of species' defensive alliances in the corresponding systems. György Szabó and Gustavo Arial Sznaider have discussed the forming problem of species' defensive alliance in Phys. Rev. E69, 031911 (2004). Now, this problem is discussed in depth. The following conclusions are obtained: Firstly, the necessary and sufficient condition of forming defensive alliances is that the number of species is even. Secondly, in the condition where the number of species is an even number, for any density of vacant sites, there is three forms of defensive alliance as follow: • Deadlock — the habitats of specie's individuals in each alliance interweave together. • Relative preponderance — the different of the number of species' individuals between the two defensive alliances keeps steadily. • Absolute preponderance — the different of the number of species' individuals between the two defensive alliances enlarges continuously. This paper discusses the relations between the number of species and the forming of the defensive alliances, and shows the corresponding three statistical distributions of discrete density of vacant sites when there are four species. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics C: Computational Physics & Physical Computation is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: THE INFLUENCE OF SPECIES' NUMBER AND THE DENSITY OF VACANT SITES ON THE DEFENSIVE ALLIANCE.
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  Data: <searchLink fieldCode="AR" term="%22Mingfeng+He%22">Mingfeng He</searchLink><relatesTo>1</relatesTo><i> mfhe@dlut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Yu+Cai%22">Yu Cai</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Zhirui+Wang%22">Zhirui Wang</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Qiu-Hui+Pan%22">Qiu-Hui Pan</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modern+Physics+C%3A+Computational+Physics+%26+Physical+Computation%22">International Journal of Modern Physics C: Computational Physics & Physical Computation</searchLink>. Dec2005, Vol. 16 Issue 12, p1861-1868. 8p. 3 Diagrams, 2 Graphs.
– Name: Subject
  Label: Subjects
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  Data: <searchLink fieldCode="DE" term="%22Closed+ecological+systems%22">Closed ecological systems</searchLink><br /><searchLink fieldCode="DE" term="%22Ecology%22">Ecology</searchLink><br /><searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Defensiveness+%28Psychology%29%22">Defensiveness (Psychology)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The multi-species ecological system with cyclic dominance and vacant sites is studied. The theme is the forming problem of species' defensive alliances in the corresponding systems. György Szabó and Gustavo Arial Sznaider have discussed the forming problem of species' defensive alliance in Phys. Rev. E69, 031911 (2004). Now, this problem is discussed in depth. The following conclusions are obtained: Firstly, the necessary and sufficient condition of forming defensive alliances is that the number of species is even. Secondly, in the condition where the number of species is an even number, for any density of vacant sites, there is three forms of defensive alliance as follow: • Deadlock — the habitats of specie's individuals in each alliance interweave together. • Relative preponderance — the different of the number of species' individuals between the two defensive alliances keeps steadily. • Absolute preponderance — the different of the number of species' individuals between the two defensive alliances enlarges continuously. This paper discusses the relations between the number of species and the forming of the defensive alliances, and shows the corresponding three statistical distributions of discrete density of vacant sites when there are four species. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modern Physics C: Computational Physics & Physical Computation is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1142/S0129183105008382
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 8
        StartPage: 1861
    Subjects:
      – SubjectFull: Closed ecological systems
        Type: general
      – SubjectFull: Ecology
        Type: general
      – SubjectFull: Monte Carlo method
        Type: general
      – SubjectFull: Mathematical models
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Defensiveness (Psychology)
        Type: general
    Titles:
      – TitleFull: THE INFLUENCE OF SPECIES' NUMBER AND THE DENSITY OF VACANT SITES ON THE DEFENSIVE ALLIANCE.
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            NameFull: Mingfeng He
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            NameFull: Yu Cai
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            NameFull: Zhirui Wang
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            NameFull: Qiu-Hui Pan
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            – D: 01
              M: 12
              Text: Dec2005
              Type: published
              Y: 2005
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              Value: 12
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            – TitleFull: International Journal of Modern Physics C: Computational Physics & Physical Computation
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