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Journal of Mathematical Sciences

, Volume 205, Issue 2, pp 199–204 | Cite as

Stationary Regime of Exploitation of Size-Structured Population with Hierarchical Competition

  • A. A. Davydov
  • Amer Fadhel Nassar
Article

For a given exploitation intensity of size-structured population with asymmetric competition form we prove the existence of a nontrivial stationary state in the population dynamics. Bibliography: 7 titles.

Keywords

Cauchy Problem Admissible Control Competition Level Nonincreasing Function Exploitation Intensity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    L. F. Murphy, “A nonlinear growth mechanism in size structured population dynamics,” J. Theor. Biol. 104, No. 4, 493–506 (1983).CrossRefGoogle Scholar
  2. 2.
    A. M. de Roos, “A gentle introduction to phisiologically structured population models” In: Structured Populations Models in Marine, Terrestrial and Freshwater Systems, pp. 119–204, Chapman & Hall, New York (1997).CrossRefGoogle Scholar
  3. 3.
    A. A. Davydov and A. S. Platov, “Optimal stationary solution in forest management model by accounting intra-species competition,” Mosc. Math. J. 12, No. 2, 269–273 (2012).zbMATHMathSciNetGoogle Scholar
  4. 4.
    A. A. Davydov and A. S. Platov, “Optimal exploitation of two size-structured competitive populations” [in Russian] Trudy IMM UrO RAS 19, No. 4, 89–94 (2013).Google Scholar
  5. 5.
    A. A. Panesh and A. S. Platov, “Optimization of size-structured population with interacting species” [in Russian], Probl. Mat. Anal. 67, 107–112 (2012); English transl.: J. Math. Sci. 188, No. 3, 293–298 (2013).CrossRefzbMATHMathSciNetGoogle Scholar
  6. 6.
    E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGill-Hill, New York etc. (1955).zbMATHGoogle Scholar
  7. 7.
    L. D. Kudryavtsev, Course of Mathematical Analysis [in Russian], Vyssh. Shkola, Moscow (1981).Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia
  2. 2.International Institute for Applied Systems AnalysisLaxenburgAustria
  3. 3.Vladimir State UniversityVladimirRussia

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