Universal stock constants in models of competition

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• 作者：V. G. Il’ichev
• 关键词：model ; competition ; changing environment ; selection criteria ; constant of a stock
• 刊名：Mathematical Models and Computer Simulations
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：8
• 期：1
• 页码：73-83
• 全文大小：564 KB
• 参考文献：1.Vito Volterra, Lecons sur la Theory mathematique de la Lutte pour la Vie (Gauthier-Villars, Paris, 1931).
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  12.V. G. Il’ichev, “‘Nonlinear skeletons’ in the spatio-temporal ecological models,” Matem. Mod. 23, 125–147 (2011).MathSciNet MATH
  
• 作者单位：V. G. Il’ichev (1)
  
  1. IAZ, Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Russia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematical Modeling and IndustrialMathematics
  Simulation and Modeling
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：2070-0490

文摘

The main models of the competition between populations in a variable environment are described and studied. It is shown that to have a competitive advantage in a time-periodic environment, the (initial) population has to surpass its competitors in terms of productivity with some margin. The constant of a stock can be chosen universal independently of the number of competitors. The constant of stock in a spatially heterogeneous medium is shown to depend on the number of areas in the water body. It increases without limits, so there cannot be a universal constant of a stock. Keywords model competition changing environment selection criteria constant of a stock