In this paper, we show some dynamical and biological mechanisms of the short‐term
memory (the fixed point attractor) through the toggle switch in the FitzHugh‐Nagumo model …

It is well known that noise plays an important role in genetic regulatory networks. It can not
only affect the overall characteristics of the genetic regulatory networks, but also produce …

In this paper, we consider the process of pattern formation induced by nonlinear diffusion in
the gene network with cross-diffusion. We present a theoretical analysis of the pattern …

In this paper, a gene regulatory network mediated by small noncoding RNA involving two
time delays and diffusion under the Neumann boundary conditions is studied. Choosing the …

Noise is ubiquitous in a system and can induce some spontaneous pattern formations on a
spatially homogeneous domain. In comparison to the Reaction‐Diffusion System (RDS) …

In this paper, we show some dynamical and biological mechanisms of the short-term
memory (the fixed point attractor) through the toggle switch in the FitzHugh-Nagumo model …