46 citations · 102 across the 26 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
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…
q-bio.PE2014
A preliminary threshold model of parasitism in the Cockle\emph{Cerastoderma edule} using delayed exchange of stability
E. A. O'Grady, S. C. Culloty, T. C. Kelly +2
Thresholds occur in the dynamics of many biological communities. Here we model a persistence type threshold which has been shown experimentally to exist in hyperparasitised flukes…