This paper has two interrelated foci:(i) obtaining stable and efficient data-driven closure
models by using a multivariate time series of partial observations from a large-dimensional …

In this paper, we solve the Fokker–Planck equation of the multivariate Ornstein–Uhlenbeck
process to obtain its probability density function. This approach allows us to ascertain the …

The aim of this book is to give a short mathematical introduction to piecewise deterministic
Markov processes (PDMPs) and to present biological models where they appear. The book …

Pharmacokinetics is the study of the time course of drug concentrations in body
compartments. The majority of drugs are eliminated at first order kinetics with a nonconstant …

Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and
difference equations, whose right-hand side is explicitly time-dependent. Over recent years …

In this study, the Gross–Pitaevskii equation perturbed with multiplicative time noise is under
consideration numerically and analytically. The NLSE is a universal governing model that …

In this paper, mean square exponential stability (MSES) for semi-linear partial differential
equations (PDEs) involving Levy type noise is investigated. By constructing an appropriate …

This paper extends the classical pharmacokinetic model from a deterministic framework to
an uncertain one to rationally explain various noises, and applies theory of uncertain …

The stochastic Newell–Whitehead–Segel in (2+ 1) dimensions is under consideration. It
represents the population density or dimensionless temperature and it discusses how …

The book provides an introduction to deterministic (and some stochastic) modeling of
spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the …