In this paper a random link activation–deletion (RLAD) model is proposed that gives rise to a
stochastically evolving network. This dynamic network is then coupled to a simple …

Recently, there has been an increasing interest in studying dynamical processes on
networks exhibiting higher-order structures, such as simplicial complexes, where the …

Mathability refers to a branch of cognitive infocommunications that investigates any
combination of artificial and natural cognitive capabilities relevant to mathematics, including …

We investigate how epigenetic modifications to clock gene promoters affect transcriptomic
activity in the circadian clock. Motivated by experimental observations that link DNA …

Many systems in biology (as well as other physical and engineering systems) can be
described by systems of ordinary differential equation containing large numbers of …

The bifurcations in a four-variable ODE model of an SIS type epidemic on an adaptive
network are studied. The model describes the propagation of the epidemic on a network …

In order to maximize the information that a linearized stability analysis provides, one should
work with two free parameters rather than one. Moreover, it is recommended to first consider …

The pairwise ODE model for SIS epidemic propagation on an adaptive network with link
number preserving rewiring is studied. The model, introduced by Gross et al.(Phys Rev Lett …

A dynamical system describing the circadian fluctuation of a protein (FRQ) in Neurospora
cells is investigated from the bifurcation point of view. The possible phase portraits and local …

Two dynamical systems describing the circadian fluctuation of two proteins (PER and TIM) in
cells are compared. A simplified model with two variables has already been investigated …