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Self-regulation in the Bolker–Pacala model.

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Τίτλος: Self-regulation in the Bolker–Pacala model.
Συγγραφείς: Kondratiev, Yuri1,2 kondrat@math.uni-bielefeld.de, Kozitsky, Yuri3 jkozi@hektor.umcs.lublin.pl
Πηγή: Applied Mathematics Letters. Jul2017, Vol. 69, p106-112. 7p.
Θεματικοί όροι: *Self regulation, *Mortality -- Mathematical models, *Kernel (Mathematics), *Dispersal (Ecology), *Model theory
Περίληψη: The Markov dynamics is studied of an infinite system of point entities placed in R d , in which the constituents disperse and die, also due to competition. Assuming that the dispersal and competition kernels are continuous and integrable we show that the evolution of states of this model preserves their sub-Poissonicity, and hence the local self-regulation (suppression of clustering) takes place. Upper bounds for the correlation functions of all orders are also obtained for both long and short dispersals, and for all values of the intrinsic mortality rate. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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  – Url: https://www.doi.org/10.1016/j.aml.2017.02.011?
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  Data: Self-regulation in the Bolker–Pacala model.
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  Data: <searchLink fieldCode="AR" term="%22Kondratiev%2C+Yuri%22">Kondratiev, Yuri</searchLink><relatesTo>1,2</relatesTo><i> kondrat@math.uni-bielefeld.de</i><br /><searchLink fieldCode="AR" term="%22Kozitsky%2C+Yuri%22">Kozitsky, Yuri</searchLink><relatesTo>3</relatesTo><i> jkozi@hektor.umcs.lublin.pl</i>
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  Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+Letters%22">Applied Mathematics Letters</searchLink>. Jul2017, Vol. 69, p106-112. 7p.
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  Data: *<searchLink fieldCode="DE" term="%22Self+regulation%22">Self regulation</searchLink><br />*<searchLink fieldCode="DE" term="%22Mortality+--+Mathematical+models%22">Mortality -- Mathematical models</searchLink><br />*<searchLink fieldCode="DE" term="%22Kernel+%28Mathematics%29%22">Kernel (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Dispersal+%28Ecology%29%22">Dispersal (Ecology)</searchLink><br />*<searchLink fieldCode="DE" term="%22Model+theory%22">Model theory</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The Markov dynamics is studied of an infinite system of point entities placed in R d , in which the constituents disperse and die, also due to competition. Assuming that the dispersal and competition kernels are continuous and integrable we show that the evolution of states of this model preserves their sub-Poissonicity, and hence the local self-regulation (suppression of clustering) takes place. Upper bounds for the correlation functions of all orders are also obtained for both long and short dispersals, and for all values of the intrinsic mortality rate. [ABSTRACT FROM AUTHOR]
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        Value: 10.1016/j.aml.2017.02.011
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 7
        StartPage: 106
    Subjects:
      – SubjectFull: Self regulation
        Type: general
      – SubjectFull: Mortality -- Mathematical models
        Type: general
      – SubjectFull: Kernel (Mathematics)
        Type: general
      – SubjectFull: Dispersal (Ecology)
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      – SubjectFull: Model theory
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      – TitleFull: Self-regulation in the Bolker–Pacala model.
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            NameFull: Kondratiev, Yuri
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            – D: 01
              M: 07
              Text: Jul2017
              Type: published
              Y: 2017
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              Value: 69
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            – TitleFull: Applied Mathematics Letters
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