Мақаланы E-mail арқылы жіберу Asymptotics of Relaxation Cycles in the Generalized Logistic Delay Equation
- Авторлар: Kashchenko S.1,2
-
Мекемелер:
- Regional Scientific and Educational Mathematical Center of the Yaroslavl State University, Yaroslavl, 150003, Russia
- Шығарылым: Том 59, № 4 (2023)
- Беттер: 563-566
- Бөлім: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/144948
- DOI: https://doi.org/10.31857/S037406412304012X
- EDN: https://elibrary.ru/AOJNDZ
- ID: 144948
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
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.
Авторлар туралы
S. Kashchenko
Regional Scientific and Educational Mathematical Center of the Yaroslavl State University, Yaroslavl, 150003, Russia;
Хат алмасуға жауапты Автор.
Email: kasch@uniyar.ac.ru
Әдебиет тізімі
- Murray J.D. Mathematical Biology II. Spatial Models and Biomedical Applications. Interdisciplinary Applied Mathematics. V. 18. New York, 2003.
- Wu J. Theory and Applications of Partial Functional Differential Equations. Applied Mathematical Sciences. V. 119. New York, 1996.
- Kuang Y. Delay Differential Equations with Applications in Population Dynamics. Mathematics in Science and Engineering. V. 191. Boston, 1993.
- Wright E.M. A non-linear difference-differential equation // J. f"ur die reine und angewandte Mathematik. 1955. Bd. 194. S. 66-87.
- Кащенко С.А., Логинов Д.О. Оценка области глобальной устойчивости состояния равновесия логистического уравнения с запаздыванием // Изв. вузов. Математика. 2020. № 9. C. 39-55.
- May R.M. Stability and Complexity in Model Ecosystems. Princeton, 1974.
- Кащенко С.А. Бифуркации в логистическом уравнении с запаздыванием и малыми возмущениями // Изв. вузов. Математика. 2020. № 10. C. 47-64.
- 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.
- Kashchenko S.A. Asymptotics of the solutions of the generalized Hutchinson equation // Automatic Control and Computer Sciences. 2013. V. 47. P. 470-494.
- Кащенко С.А. Динамика моделей на основе логистического уравнения с запаздыванием. М., 2020.
- Edwards R.E. Functional Analysis. Theory and Applications. New York, 1965.
- Кащенко С.А. Периодические решения нелинейных уравнений, обобщающих логистические уравнения с запаздыванием // Мат. заметки. 2017. Т. 102. С. 216-230.
