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 …

Nonlinear relaxation phenomena in three different systems of condensed matter are
investigated.(i) First, the phase dynamics in Josephson junctions is analyzed. Specifically, a …

Noise-induced phenomena characterise the nonlinear relaxation of nonequilibrium physical
systems towards equilibrium states. Often, this relaxation process proceeds through …

In this article, an impulsive stochastic tumor-immune model with regime switching is
formulated and explored. Firstly, it is proven that the model has a unique global positive …

This work presents analytical studies of the stiffness nonlinearities SD (smooth and
discontinuous) oscillator under displacement and velocity feedback control with a time …

By studying a recent biophysical model of tumor growth in the presence of the immune
system, here we propose that the phenomenon of evasion of tumors from immune control at …

In this paper, the theoretic analysis by stochastic dynamics and numerical simulation by
ANN algorithm for tumor-immune models driven by random noises are studied. Firstly, a …

The stationary probability density and stochastic resonance phenomenon of a tumor growth
model under the excitation of Lévy noise and Gaussian white noise are investigated in this …

Lake eutrophication ecosystems tend to exhibit bistable kinetics with two preferential
configurations of oligotrophic and eutrophic states, and perturbations in the environmental …

Considering time delays in the deterministic and stochastic forces, we construct stochastic
delayed differential equations to investigate the regime shifts in an insect ecosystem. The …