In this paper, we construct and analyze a stochastic regime-switching Lotka–Volterra
competitive system with distributed delays and Ornstein–Uhlenbeck process. By the linear …

For both Lévy flight and Lévy walk search processes we analyse the full distribution of first-
passage and first-hitting (or first-arrival) times. These are, respectively, the times when the …

The impacts of additional food for predator on the dynamics of a prey-predator model with
prey refuge are investigated. The equilibrium points and their stability behaviours are …

We numerically investigate the generation of solitons in current-biased long Josephson
junctions in relation to the superconducting lifetime and the voltage drop across the device …

We consider a model of a step** molecular motor consisting of two connected heads.
Directional motion of the stepper takes place along a one-dimensional track. Each head is …

A stochastic advection-reaction-diffusion model with terms of multiplicative white Gaussian
noise, valid for weakly mixed waters, is studied to obtain the vertical stationary spatial …

With the rapid increase of valuable observational, experimental and simulating data for
complex systems, much effort is being devoted to discovering governing laws underlying the …

In this paper spatial dynamics of the Beddington-DeAngelis predator-prey model is
investigated. We analyze the linear stability and obtain the condition of Turing instability of …

The impacts of noise parameters and input signal parameters on stochastic resonance are
explored in a gene transcriptional regulatory model driven by a combination of multiplicative …

Advances in data science are leading to new progresses in the analysis and understanding
of complex dynamics for systems with experimental and observational data. With numerous …