Asymptotics of Relaxation Cycles in the Generalized Logistic Delay Equation

封面

如何引用文章

全文:

开放存取 开放存取
受限制的访问 ##reader.subscriptionAccessGranted##
受限制的访问 订阅存取

详细

Asymptotic methods are used to study solutions of a modified logistic delay equation containing a large parameter. A result on the existence and stability of a relaxation cycle is given.

作者简介

S. Kashchenko

Regional Scientific and Educational Mathematical Center of the Yaroslavl State University, Yaroslavl, 150003, Russia;

编辑信件的主要联系方式.
Email: kasch@uniyar.ac.ru

参考

  1. Murray J.D. Mathematical Biology II. Spatial Models and Biomedical Applications. Interdisciplinary Applied Mathematics. V. 18. New York, 2003.
  2. Wu J. Theory and Applications of Partial Functional Differential Equations. Applied Mathematical Sciences. V. 119. New York, 1996.
  3. Kuang Y. Delay Differential Equations with Applications in Population Dynamics. Mathematics in Science and Engineering. V. 191. Boston, 1993.
  4. Wright E.M. A non-linear difference-differential equation // J. f"ur die reine und angewandte Mathematik. 1955. Bd. 194. S. 66-87.
  5. Кащенко С.А., Логинов Д.О. Оценка области глобальной устойчивости состояния равновесия логистического уравнения с запаздыванием // Изв. вузов. Математика. 2020. № 9. C. 39-55.
  6. May R.M. Stability and Complexity in Model Ecosystems. Princeton, 1974.
  7. Кащенко С.А. Бифуркации в логистическом уравнении с запаздыванием и малыми возмущениями // Изв. вузов. Математика. 2020. № 10. C. 47-64.
  8. Oster G., Guckenheimer J. Bifurcation phenomena in population models // The Hopf Bifurcation and Its Applications. Appl. Math. Sci. New York, 1976. V. 19. P. 327-353.
  9. Kashchenko S.A. Asymptotics of the solutions of the generalized Hutchinson equation // Automatic Control and Computer Sciences. 2013. V. 47. P. 470-494.
  10. Кащенко С.А. Динамика моделей на основе логистического уравнения с запаздыванием. М., 2020.
  11. Edwards R.E. Functional Analysis. Theory and Applications. New York, 1965.
  12. Кащенко С.А. Периодические решения нелинейных уравнений, обобщающих логистические уравнения с запаздыванием // Мат. заметки. 2017. Т. 102. С. 216-230.

版权所有 © Russian Academy of Sciences, 2023

##common.cookie##