Asymptotics of sign-changing patterns in hysteretic systems with diffusive thresholds
Analysis of PDEs
2015-08-12 v2 Dynamical Systems
Abstract
We consider a reaction-diffusion system including discontinuous hysteretic relay operators in reaction terms. This system is motivated by an epigenetic model that describes the evolution of a population of organisms which can switch their phenotype in response to changes of the state of the environment. The model exhibits formation of patterns in the space of distributions of the phenotypes over the range of admissible switching strategies. We propose asymptotic formulas for the pattern and the process of its formation.
Cite
@article{arxiv.1502.01891,
title = {Asymptotics of sign-changing patterns in hysteretic systems with diffusive thresholds},
author = {Pavel Gurevich and Dmitrii Rachinskii},
journal= {arXiv preprint arXiv:1502.01891},
year = {2015}
}
Comments
25 pages, 4 figures. Submitted version in Asymptotic Analysis (2015). arXiv admin note: text overlap with arXiv:1411.0269