Delay reaction-diffusion equation for infection dynamics

Nonlinear dynamics of a reaction-diffusion equation with delay is studied with numerical simulations in 1D and 2D cases. Homogeneous in space solutions can manifest time oscillations with period doubling bifurcations and transition to chaos. Transition between two regions with homogeneous oscillations is provided by quasi-waves, propagating solutions without regular structure and often with complex aperiodic oscillations. Dynamics of space dependent solutions is described by a combination of various waves, e.g., bistable, monostable, periodic and quasi-waves. © 2019 American Institute of Mathematical Sciences. All Rights Reserved.

Авторы
Bessonov N.1, 2 , Bocharov G. 2 , Touaoula T.M.3 , Trofimchuk S.4 , Volpert V. 2, 5, 6, 7
Редакторы
-
Издательство
Southwest Missouri State University
Номер выпуска
5
Язык
Английский
Страницы
2073-2091
Статус
Опубликовано
Подразделение
-
Номер
-
Том
24
Год
2019
Организации
  • 1 Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, 199178, Russian Federation
  • 2 Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Gubkina Street 8, Moscow, 119333, Russian Federation
  • 3 Département de Mathématiques, Faculté des Sciences, Université de Tlemcen Laboratoire d’Analyse Non Linéaire et Mathématiques Appliquées Tlemcen, BP 11913000, Algeria
  • 4 Instituto de Matemática y Fisica, Universidad de Talca, Casilla 747, Talca, Chile
  • 5 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 6 INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, 69603, France
  • 7 RUDN University, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
Ключевые слова
Delay reaction-diffusion equation; Nonlinear dynamics; Wave propagation
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/38664/