Stochastic models have become indispensable tools for understanding growth dynamics in complex systems. By incorporating randomness and uncertainty into the modelling framework, these methods provide ...

Advances in nanotechnology enable scientists for the first time to study biological processes on a nanoscale molecule-by-molecule basis. A surprising discovery from recent nanoscale single-molecule ...

Abstract: In this talk, we discuss the construction of admissible, physics-consistent and identifiable stochastic models for uncertainty quantification. We first consider a continuum mechanics setting ...

In this paper we consider a diffusive stochastic predator–prey model with a nonlinear functional response and the randomness is assumed to be of Gaussian nature. A large deviation principle is ...

Simulation research derives new methods for the design, analysis, and optimization of simulation experiments. Research on stochastic models develops and analyzes models of systems with random behavior ...