Pattern formation in parabolic equations containing hysteresis with diffusive thresholds

We consider a reaction-diffusion system with discontinuous reaction terms modeled by non-ideal relays. The system is motivated by an epigenetic population model of evolution of two-phenotype bacteria which switch phenotype in response to variations of environment. We prove the formation of patterns in the phenotype space. The mechanism responsible for pattern formation is based on memory (hysteresis) of the non-ideal relays. © 2014 Elsevier Inc.

Авторы
Gurevich P. 1, 2 , Rachinskii D.3, 4
Редакторы
-
Издательство
Academic Press Inc.
Номер выпуска
2
Язык
Английский
Страницы
1103-1124
Статус
Опубликовано
Подразделение
-
Номер
-
Том
424
Год
2015
Организации
  • 1 Free University of Berlin, Germany
  • 2 Peoples' Friendship University of Russia, Russian Federation
  • 3 Department of Mathematical Sciences, University of Texas at Dallas, United States
  • 4 Department of Applied Mathematics, University College Cork, Ireland
Ключевые слова
Hysteresis; Patterns; Phenotype switching; Reaction-diffusion equations
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4732/