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math.AP2014
Pattern formation in parabolic equations containing hysteresis with diffusive thresholds
Pavel Gurevich, Dmitrii Rachinskii
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…
math.AP2014★ 4 cited
Well-posedness of parabolic equations containing hysteresis with diffusive thresholds
Pavel Gurevich, Dmitrii Rachinskii
We study complex systems arising, in particular, in population dynamics, developmental biology, and bacterial metabolic processes, in which each individual element obeys a relative…