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  • Electronic Resource  (3)
  • 1995-1999  (3)
  • Lyapunov function  (2)
  • Analytical Chemistry and Spectroscopy
  • 1
    Electronic Resource
    Electronic Resource
    Extinction of species in age-structured, discrete noncooperative systems (1996)
    Springer
    Journal of mathematical biology 34 (1996), S. 442-454 
    Details
    ISSN: 1432-1416
    Keywords: Age ; Coexistence ; Dominance ; Extinction ; Lyapunov function ; Quasi-dominance ; Weak dominance ; ω-limit set
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Using a multi-species model of Ebenman for the dynamics of a discretely reproducing population that consists of noncooperation between juveniles and adults, we obtain exclusion principles by Lyapunov function methods. In the very general age-structured model, we show that, if there is an adult whose growth function is always larger than that of all the other species in the system, then it dominates the system by driving all the others to extinction. This result confirms a general folklore. We also develop a quasi-dominance concept and show that it implies the extinction of all the quasi-dominated species. The quasi-dominance concept applies even if there is no species whose adults always grow faster than all the others. In addition, a notion of weak dominance is developed. We show with specific examples that weak dominance does not necessarily imply extinction of species. If all the growth functions are exponential functions, then weak dominance is equivalent to quasi-dominance.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00167943
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Extinction of species in age-structured, discrete noncooperative systems (1996)
    Springer
    Journal of mathematical biology 34 (1996), S. 442-454 
    Details
    ISSN: 1432-1416
    Keywords: Key words: Age ; Coexistence ; Dominance ; Extinction ; Lyapunov function ; Quasi-dominance ; Weak dominance ; ω-limit set
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract.  Using a multi-species model of Ebenman for the dynamics of a discretely reproducing population that consists of noncooperation between juveniles and adults, we obtain exclusion principles by Lyapunov function methods. In the very general age-structured model, we show that, if there is an adult whose growth function is always larger than that of all the other species in the system, then it dominates the system by driving all the others to extinction. This result confirms a general folklore. We also develop a quasi-dominance concept and show that it implies the extinction of all the quasi-dominated species. The quasi-dominance concept applies even if there is no species whose adults always grow faster than all the others. In addition, a notion of weak dominance is developed. We show with specific examples that weak dominance does not necessarily imply extinction of species. If all the growth functions are exponential functions, then weak dominance is equivalent to quasi-dominance.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002850050016
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Chloro-bis-propyl Ethers in the Elbe River - Isomeric Distribution and Enantioselective Degradation (1998)
    Weinheim : Wiley-Blackwell
    Journal of High Resolution Chromatography 21 (1998), S. 113-120 
    Details
    ISSN: 0935-6304
    Keywords: Enantioselective GC of chlorinated bis(propyl) ethers ; environmental analysis ; contamination of the Elbe River ; cyclodextrin derivatives ; Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: ---Cyclodextrin derivatives are evaluated as chiral stationary phases for the enantiomer separation of chlorinated bis(propyl) ethers (BPE). The enantiomeric composition of the 2,3,2′,3′- and 1,3,2′,3′-isomers of tetrachlorobis(propyl) ether in the Elbe River has been quantitatively determined by enantioselective gas chromatography and coupled gas chromatography/mass spectrometry in selected-ion-monitoring mode. Significant enantiomeric discriminations are observed in selected water samples, indicating that enantioselective bio-degradation mechanisms are at least partly responsible for the overall degradation processes.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
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