Sentence examples for behavior of a stochastic from inspiring English sources

More recently, the asymptotic behavior of a stochastic logistic system has received a lot of attention (see [16 20]).

Sun et al. [63] investigated the dynamical behavior of a stochastic two-species Monod competition chemostat model.

The objective of this paper is to explore the long time behavior of a stochastic SIR model.

In [4], Meng et al. analyzed the dynamic behavior of a stochastic biological system; in [1], Bai et al. investigated the dynamic behavior of the boundary value problem fractional nonlinear system, and in the research articles [2, 3], Wang et al. paid attention to the control problems of nonlinear systems.

Deterministic models can be effective in describing the mean behavior of a stochastic epidemic, particularly when the number of persons in each disease class is large enough to model the system behavior in terms of population proportions, rather than numbers of individuals.

Suppose an equation-based model captures the average behavior of a stochastic system and one intends to find the propensity function for a stochastic simulation that will reproduce that means.

To the best of our knowledge, the research on global asymptotic behaviors of a stochastic infected predator-prey system with Beddington-DeAngelis has not gone very far yet.

In this paper, we investigate dynamical behaviors of a stochastic ratio-dependent one-predator and two-mutualistic-preys model perturbed by white and telegraph noise.

Jovanovic and Krstic [4] considered a stochastic Gompertz model with time delay and gave sufficient conditions for the persistence in mean and extinction; Hu [1] discussed the asymptotic behaviors of a stochastic Gompertz model with Markovian switching.

In order to reduce mechanical fatigue on the wind turbine system, the torque variations should be minimized by controlling the generator torque variation, Δ Γ G ¯ t ; hence, due to the stochastic behavior of wind, a stochastic control system is provided.

We also discuss the effect of fluctuating environment on dynamical behavior of a corresponding stochastic delayed-differential algebraic system andelayed-differential algebraicsystem of populandon fluctuations.