Modeling and Predicting Stochastic Merging Behaviors at Freeway On-Ramp Bottlenecks by Jian Sun, Kang Zuo, Shun Jiang, Zuduo Zheng

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Derivation and computation of discrete-delayand continuous-delay SDEs in mathematical biology by Edward J. Allen

Subjects: “…stochastic differential equation…”
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Stochastic dynamics and survival analysis of a cell population model with random perturbations by Cristina Anton, Alan Yong

Subjects: “…stochastic logistic equation…”
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Optimizing Customized Transit Service considering Stochastic Bus Arrival Time by Qian Sun, Steven Chien, Dawei Hu, Xiqiong Chen

“…A probabilistic model is proposed to optimize CB service with mixed vehicle sizes in an urban setting considering stochastic bus arrival time and spatiotemporal demand, which minimizes total cost subject to bus capacity and time window constraints. …”
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Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations by Shaobo Zhou

“…We will prove that the Euler-Maruyama (EM) method can preserve almost surely exponential stability of stochastic pantograph differential equations under the linear growth conditions. …”
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Testing Data Cloning as the Basis of an Estimator for the Stochastic Volatility in Mean Model by E. Romero, E. Ropero-Moriones

“…Developed as a refinement of stochastic volatility (SV) models, the stochastic volatility in mean (SVM) model incorporates the latent volatility as an explanatory variable in both the mean and variance equations. …”
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Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate by Chaoqun Xu, Sanling Yuan, Tonghua Zhang

“…We present a stochastic simple chemostat model in which the dilution rate was influenced by white noise. …”
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Stochastic Modeling of Surface Viscoelastic Treatments Combined with Model Condensation Procedures by A.M.G. de Lima, D.A. Rade, N. Bouhaddi

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Hopf Bifurcation Analysis for a Stochastic Discrete-Time Hyperchaotic System by Jie Ran, Yu-Qin Li, Shao-Juan Ma, Juan Wu

“…The dynamics of a discrete-time hyperchaotic system and the amplitude control of Hopf bifurcation for a stochastic discrete-time hyperchaotic system are investigated in this paper. …”
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A new firing paradigm for integrate and fire stochastic neuronal models by Roberta Sirovich, Luisa Testa

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Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances by Zhumu Fu, Leipo Liu, Xiaohong Wang

“…This paper is concerned with the stabilization problem of uncertain chaotic systems with stochastic disturbances. A novel sliding function is designed, and then a sliding mode controller is established such that the trajectory of the system converges to the sliding surface in a finite time. …”
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On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence by Gabriel Deugoue, Mamadou Sango

“…We investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent flows of fluids. …”
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Stochastic and Dynamic Interaction between Islamic Volatility Index and Volatility Indices by Halilibrahim Gökgöz, Arif Arifoğlu, Tuğrul Kandemir

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Reliability Model of the Fly-By-Wire System Based on Stochastic Petri Net by Zhong Lu, Zhiwen Zhang, Lu Zhuang, Jia Zhou

“…As a typical safety-critical system, its reliability will affect the safety of aircraft significantly. In the paper, stochastic Petri nets are applied in the reliability modeling and analysis for the fly-by-wire system to represent its dynamic (time-dependent) failure behaviors. …”
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Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience by Yan Chen, Yingchun Deng, Shengjie Yue, Chao Deng

“…This paper considers a d-dimensional stochastic optimization problem in neuroscience. Suppose the arm’s movement trajectory is modeled by high-order linear stochastic differential dynamic system in d-dimensional space, the optimal trajectory, velocity, and variance are explicitly obtained by using stochastic control method, which allows us to analytically establish exact relationships between various quantities. …”
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Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation by Kai Wang, Ling Zhu

“…In this paper, from the perspective of capital flow, the insurance company’s capital flow is regarded as a dynamic system, the stochastic differential equations model is established to describe its flow characteristics, and the existence of positive equilibrium point of the system is proved, as well as the conditions of stability at equilibrium point, that is, the requirements of the insurance company’s solvency. …”
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Mean-Variance Hedging and Forward-Backward Stochastic Differential Filtering Equations by Guangchen Wang, Zhen Wu

“…Then, we use the result as well as filtering to solve some examples in stochastic control and finance. Also, we establish backward and forward-backward stochastic differential filtering equations which are different from the classical filtering theory introduced by Liptser and Shiryayev (1977), Xiong (2008), and so forth.…”
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Synthesis of stochastic algorithms for image registration by the criterion of maximum mutual information by A.G. Tashlinskii, G.L. Safina, R.M. Ibragimov

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Two Kinds of Weighted Biased Estimators in Stochastic Restricted Regression Model by Chaolin Liu, Haina Jiang, Xinhui Shi, Donglin Liu

“…We consider two kinds of weighted mixed almost unbiased estimators in a linear stochastic restricted regression model when the prior information and the sample information are not equally important. …”
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Stochastic Volterra Equation Driven by Wiener Process and Fractional Brownian Motion by Zhi Wang, Litan Yan

“…For a mixed stochastic Volterra equation driven by Wiener process and fractional Brownian motion with Hurst parameter H>1/2, we prove an existence and uniqueness result for this equation under suitable assumptions.…”
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